CN117459176A - Multidirectional noise modulation method for digital phased array antenna - Google Patents
Multidirectional noise modulation method for digital phased array antenna Download PDFInfo
- Publication number
- CN117459176A CN117459176A CN202311465270.5A CN202311465270A CN117459176A CN 117459176 A CN117459176 A CN 117459176A CN 202311465270 A CN202311465270 A CN 202311465270A CN 117459176 A CN117459176 A CN 117459176A
- Authority
- CN
- China
- Prior art keywords
- signal
- phased array
- array antenna
- digital phased
- antenna
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 238000000034 method Methods 0.000 title claims abstract description 46
- 238000009826 distribution Methods 0.000 claims abstract description 28
- 230000008054 signal transmission Effects 0.000 claims abstract description 16
- 230000015572 biosynthetic process Effects 0.000 claims abstract description 15
- 238000003786 synthesis reaction Methods 0.000 claims abstract description 15
- 239000011159 matrix material Substances 0.000 claims description 86
- 239000013598 vector Substances 0.000 claims description 80
- 230000005540 biological transmission Effects 0.000 claims description 23
- 238000005457 optimization Methods 0.000 claims description 19
- 238000012937 correction Methods 0.000 claims description 6
- 238000004891 communication Methods 0.000 abstract description 12
- 230000001629 suppression Effects 0.000 abstract description 5
- 230000005855 radiation Effects 0.000 description 12
- 230000009286 beneficial effect Effects 0.000 description 10
- 238000005259 measurement Methods 0.000 description 10
- 238000005516 engineering process Methods 0.000 description 9
- 230000008569 process Effects 0.000 description 5
- 238000012545 processing Methods 0.000 description 5
- 238000012512 characterization method Methods 0.000 description 3
- 238000010586 diagram Methods 0.000 description 3
- 230000009471 action Effects 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 238000012360 testing method Methods 0.000 description 2
- 230000004075 alteration Effects 0.000 description 1
- 238000013459 approach Methods 0.000 description 1
- 238000004364 calculation method Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 239000000203 mixture Substances 0.000 description 1
Classifications
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04K—SECRET COMMUNICATION; JAMMING OF COMMUNICATION
- H04K1/00—Secret communication
- H04K1/02—Secret communication by adding a second signal to make the desired signal unintelligible
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
- Y02D30/00—Reducing energy consumption in communication networks
- Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks
Landscapes
- Engineering & Computer Science (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- Variable-Direction Aerials And Aerial Arrays (AREA)
Abstract
The invention provides a multidirectional noise modulation method of a digital phased array antenna, which comprises the steps of adding noise or signals with specific specifications in the side lobe direction through side lobe suppression and side lobe noise of the digital phased array antenna, realizing main lobe signal transmission, effectively improving the anti-interception and anti-positioning capabilities of communication and implementing information deception; the noise modulation method mainly comprises the steps of carrying out signal amplitude phase calibration on multiple antenna channels, generating main lobe direction signals and side lobe direction noise signals, and carrying out power distribution and synthesis on the main lobe direction signals and the side lobe direction noise signals, so that the digital phased array antenna transmits and outputs corresponding antenna signals. The noise modulation method has good performances in the aspects of signal interception resistance, positioning resistance and information spoofing resistance, avoids the communication leakage of the digital phased array antenna, and improves the communication safety.
Description
Technical Field
The invention relates to the technical field of antenna array signal modulation, in particular to a multidirectional noise modulation method of a digital phased array antenna.
Background
The digital phased array antenna is widely applied to the fields of wireless communication, radar, measurement and control and the like. In the measurement and control field, when a satellite measurement and control ground station communicates with a satellite, a main lobe of a digital phased array antenna transmission signal of the satellite measurement and control ground station always tracks the digital phased array antenna movement of the satellite, and in theory, communication signal transmission can be carried out only through the main lobe of the digital phased array antenna transmission signal, but side lobe beams can be generated in all directions except for the main lobe of the digital phased array antenna transmission signal, and can radiate communication signals, so that potential safety hazards such as communication signal leakage and the like exist. Therefore, signals sent out by the digital phased array antenna in the side lobe direction need to be suppressed, and signal leakage in the side lobe direction is avoided.
Disclosure of Invention
Aiming at the defects existing in the prior art, the invention provides a multidirectional noise modulation method of a digital phased array antenna, which adds noise or signals with specific specifications in the side lobe direction through sidelobe suppression and sidelobe noise of the digital phased array antenna, can effectively improve the anti-interception and anti-positioning capabilities of communication and can implement information spoofing while realizing signal transmission in the main lobe direction; the noise modulation method mainly comprises the steps of carrying out amplitude phase calibration on corresponding amplitude phase calibration factors based on all antenna channels contained in a digital phased array antenna, respectively carrying out amplitude phase calibration on respective input signals of all antenna channels contained in the digital phased array antenna, jointly superposing the amplitude phase calibration signals output by all antenna channels to form beam synthesis signals, and guiding vectors of main lobe direction signals of the beam synthesis signals, so as to generate artificial noise signals without any influence on the main lobe direction signals as side lobe direction noise signals; based on the beam forming signal and the sidelobe direction noise signal, obtaining a final output signal of the digital phased array antenna; and performing power distribution on the main lobe direction signal and the side lobe direction noise signal of the beam forming signal on the final output signal to obtain a final transmitting signal. In the anti-interception aspect, a sidelobe noise signal modulation technology is adopted, the sidelobe direction signal-to-noise ratio is reduced, so that the received antenna radiation sidelobe signal does not have the signal quality conditions of demodulation, interpretation and decoding, namely, the signal with high enough signal-to-noise ratio cannot be obtained for interpretation and restoration and password decoding; in the aspect of anti-positioning, a radiation source side lobe direction signal time-frequency modulation technology is adopted, so that the correlation between a main lobe direction signal and a side lobe direction signal is greatly reduced, a positioning system based on time difference/time frequency difference and the like cannot extract a signal correlation peak through the correlation processing of the main lobe direction signal and the side lobe direction signal, and the possibility of positioning an antenna is effectively reduced; in the aspect of information deception, by changing the time-frequency modulation waveform loaded on the sidelobe direction signal, a plurality of false information correlation peaks can be generated on the basis of realizing anti-positioning, so that a positioning system based on time difference/time frequency difference and the like obtains the number and positions of wrong radiation sources, and information deception is realized.
The invention provides a multidirectional noise modulation method of a digital phased array antenna, which comprises the following steps:
step S1, determining an amplitude-phase calibration factor corresponding to amplitude-phase calibration of all antenna channels included in a digital phased array antenna; based on the amplitude and phase calibration factors, respectively performing amplitude and phase calibration on respective input signals of all antenna channels included in the digital phased array antenna, so that all antenna channels respectively output corresponding amplitude and phase calibration signals;
step S2, acquiring a beam forming signal formed by jointly superposing amplitude and phase calibration signals output by all antenna channels included in the digital phased array antenna; determining a steering vector for a main lobe direction signal of the beamformed signal;
step S3, generating an artificial noise signal which does not have any influence on the main lobe direction signal based on the guiding vector of the main lobe direction signal; generating a sidelobe directional noise signal based on the artificial noise signal; based on the beam synthesis signal and the sidelobe direction noise signal, a final output signal of the digital phased array antenna is obtained;
and S4, carrying out power distribution on the main lobe direction signal and the side lobe direction noise signal of the beam forming signal on the final output signal to obtain a final transmitting signal.
In one embodiment disclosed in the present application, in the step S1, determining an amplitude calibration factor corresponding to amplitude calibration for all antenna channels included in the digital phased array antenna further includes:
performing amplitude phase correction on all antenna channels of the digital phased array antenna based on respective amplitude phase deviations of all antenna channels included in the digital phased array antenna, so that all antenna channels have the same amplitude phase parameters;
respectively inputting signals to all antenna channels of the digital phased array antenna with the amplitude and phase corrected, and obtaining output signals corresponding to all antenna channels;
and determining an amplitude and phase calibration factor corresponding to amplitude and phase calibration of all antenna channels contained in the digital phased array antenna based on the input signal and the output signal.
In one embodiment disclosed in the present application, in the step S1, determining, based on the input signal and the output signal, a corresponding amplitude calibration factor for performing amplitude calibration on all antenna channels included in the digital phased array antenna includes:
based on the input signal matrix X of all antenna channels and the output signal matrix B of all antenna channels contained in the digital phased array antenna, a signal transmission equation for the digital phased array antenna is constructed as shown in the following formula (1),
B＝X·H+W (1)
In the above formula (1), W represents a gaussian white noise matrix of all antenna channels included in the digital phased array antenna; h represents an amplitude-phase calibration factor matrix corresponding to amplitude-phase calibration of the digital phased array antenna;
based on the above formula (1), a minimum mean square error equation of the following formula (2) with respect to the gaussian white noise matrix is constructed,
solving the formula (2) to obtain an amplitude-phase calibration factor matrix corresponding to the amplitude-phase calibration of the digital phased array antenna; and determining the corresponding amplitude and phase calibration factors for carrying out amplitude and phase calibration on all antenna channels contained in the digital phased array antenna based on the amplitude and phase calibration factor matrix.
In one embodiment disclosed in the present application, in the step S1, the solving the above formula (2) to obtain an amplitude calibration factor matrix corresponding to the amplitude calibration of the digital phased array antenna includes:
based on the input signal matrix X of all antenna channels contained in the digital phased array antenna, an autocorrelation matrix R is obtained x The method comprises the steps of carrying out a first treatment on the surface of the Wherein R is x ＝X×X H ，X H A transposed conjugate matrix representing an input signal matrix X, X representing a cross product;
obtaining a cross-correlation matrix P based on an input signal matrix X of all antenna channels and an output signal matrix B of all antenna channels contained in the digital phased array antenna; wherein p=x×b * ，B * A conjugate matrix representing the output signal matrix B, x representing the cross product;
based on the following formula (3), obtaining an amplitude-phase calibration factor matrix H corresponding to the amplitude-phase calibration of the digital phased array antenna,
in the above formula (3),representing an autocorrelation matrix R x Is a matrix of inverse of (a).
In one embodiment disclosed in the present application, in the step S2, determining a steering vector of a main lobe direction signal of the beam forming signal includes:
determining a steering vector of the whole digital phased array antenna based on the antenna channel distribution geometric parameters of the digital phased array antenna
Steering vector from the digital phased array antenna as a wholeDetermining a steering vector for a main lobe direction signal of said beamformed signal>
In one embodiment disclosed in the present application, in the step S2, the antenna channel distribution geometry of the digital phased array antenna includes an antenna array element pitch parallel to the X-axis direction and an antenna array element pitch parallel to the Y-axis direction in the digital phased array antenna.
In one embodiment disclosed in the present application, in the step S3, an artificial noise signal that does not have any influence on the main lobe direction signal is generated based on a steering vector of the main lobe direction signal; generating a sidelobe directional noise signal based on the artificial noise signal, comprising:
Based on the following formula (4), a steering vector of an artificial noise signal having no influence on the main lobe direction signal is determined,
in the above-mentioned formula (4),guide vector W representing the correspondence of an artificial noise signal 0 Is a transposed matrix of (a);
based on the guiding vector W corresponding to the artificial noise signal 0 A sidelobe directional noise signal is generated.
In one embodiment disclosed in the present application, in the step S3, a final output signal of the digital phased array antenna is obtained based on the beam synthesis signal and the sidelobe direction noise signal, including:
obtaining a final output signal of the digital phased array antenna based on the beam forming signal and the sidelobe direction noise signal by using the following formula (5),
in the above formula (5), d represents a final output signal of the digital phased array antenna;a steering vector representing the digital phased array antenna as a whole; x represents an input signal matrix of all antenna channels contained by the digital phased array antenna; />Representing the beamformed signal; w (W) 0 Representing the sidelobe directional noise signal.
In one embodiment disclosed in the present application, in the step S4, performing power allocation on the main lobe direction signal and the side lobe direction noise signal of the beam forming signal on the final output signal to obtain a final transmission signal, including:
Setting the total transmission power of the final transmission signal as P, setting the power ratio of the beam forming signal to the final transmission signal as eta, and setting the power ratio of the sidelobe direction noise signal to the final transmission signal as 1-eta
Signal power P of main lobe direction signal of the beam-formed signal s (θ) as follows:
in the above-mentioned formula (6),a steering vector representing a main lobe direction signal of the beamformed signal; />Representation->Is a transposed conjugate matrix of (a); e represents an average value; II represents solving a first-order norm; II 2 Representing the second order norm; θ represents the pitch angle of the signal;
signal power P of the sidelobe directional noise signal n (θ) as follows:
in the above-mentioned formula (7),a steering vector representing a main lobe direction signal of the beamformed signal; />Representation->Is a transposed conjugate matrix of (a); e represents an average value; II represents solving a first-order norm; II 2 Representing the second order norm; w (W) 0 A side lobe direction noise signal; θ represents the pitch angle of the signal;
the error vector magnitude EVM (theta) of the final transmit signal is determined using the following equation (8),
performing constraint optimization problem solving on the error vector magnitude EVM (theta), and solving to obtain the power ratio eta of the beam forming signal in the final transmitting signal;
And then, based on the power duty ratio eta obtained by solving, carrying out power distribution on the main lobe direction signal and the side lobe direction noise signal of the beam synthesis signal on the final output signal to obtain a final transmitting signal.
In one embodiment disclosed in the present application, in the step S4, a constraint optimization problem is solved for the error vector magnitude EVM (θ), and a power ratio η of the beamformed signal to the final transmission signal is obtained by solving, including:
set to the width omega of the main lobe direction m In, the error vector magnitude EVM (θ) is not greater than a threshold Th m And width omega in the paravalvular direction s In the error vector magnitude EVM (θ) is not less than the threshold Th s Thereby determining the following constraint optimization equation,
max PE,s.t. EVM(θ)≤Th m ,θ∈Ω m
EVM(θ)≥Th s ,θ∈Ω s
and solving the constraint optimization equation, so as to obtain the power ratio eta of the beam forming signal in the final transmitting signal.
Compared with the prior art, the multidirectional noise modulation method of the digital phased array antenna has the advantages that through digital phased array antenna sidelobe suppression and sidelobe noise, noise or signals with specific specifications are added in the sidelobe direction, the signal transmission in the main lobe direction is realized, meanwhile, the anti-interception and anti-positioning capabilities of communication can be effectively improved, and information spoofing can be implemented; the noise modulation method mainly comprises the steps of carrying out amplitude phase calibration on corresponding amplitude phase calibration factors based on all antenna channels contained in a digital phased array antenna, respectively carrying out amplitude phase calibration on respective input signals of all antenna channels contained in the digital phased array antenna, jointly superposing the amplitude phase calibration signals output by all antenna channels to form beam synthesis signals, and guiding vectors of main lobe direction signals of the beam synthesis signals, so as to generate artificial noise signals without any influence on the main lobe direction signals as side lobe direction noise signals; based on the beam forming signal and the sidelobe direction noise signal, obtaining a final output signal of the digital phased array antenna; and performing power distribution on the main lobe direction signal and the side lobe direction noise signal of the beam forming signal on the final output signal to obtain a final transmitting signal. In the anti-interception aspect, a sidelobe noise signal modulation technology is adopted, the sidelobe direction signal-to-noise ratio is reduced, so that the received antenna radiation sidelobe signal does not have the signal quality conditions of demodulation, interpretation and decoding, namely, the signal with high enough signal-to-noise ratio cannot be obtained for interpretation and restoration and password decoding; in the aspect of anti-positioning, a radiation source side lobe direction signal time-frequency modulation technology is adopted, so that the correlation between a main lobe direction signal and a side lobe direction signal is greatly reduced, a positioning system based on time difference/time frequency difference and the like cannot extract a signal correlation peak through the correlation processing of the main lobe direction signal and the side lobe direction signal, and the possibility of positioning an antenna is effectively reduced; in the aspect of information deception, by changing the time-frequency modulation waveform loaded on the sidelobe direction signal, a plurality of false information correlation peaks can be generated on the basis of realizing anti-positioning, so that a positioning system based on time difference/time frequency difference and the like obtains the number and positions of wrong radiation sources, and information deception is realized.
Additional features and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention will be realized and attained by the structure particularly pointed out in the written description and claims thereof as well as the appended drawings.
The technical scheme of the invention is further described in detail through the drawings and the embodiments.
Drawings
In order to more clearly illustrate the embodiments of the invention or the technical solutions in the prior art, the drawings that are required in the embodiments or the description of the prior art will be briefly described, it being obvious that the drawings in the following description are only some embodiments of the invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
Fig. 1 is a schematic flow chart of a multidirectional noise modulation method of a digital phased array antenna.
Fig. 2 is a side lobe plus noise pattern of the digital phased array antenna multidirectional noise modulation method provided by the invention under different power distribution.
Fig. 3 is a main lobe and side lobe constellation diagram of a prototype external field test noise power ratio gradually increasing from 0 to 1 under a multidirectional noise modulation method using a digital phased array antenna provided by the invention.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Referring to fig. 1, fig. 1 is a flow chart of a multidirectional noise modulation method for a digital phased array antenna according to an embodiment of the present invention. The multidirectional noise modulation method of the digital phased array antenna comprises the following steps:
step S1, determining an amplitude-phase calibration factor corresponding to amplitude-phase calibration of all antenna channels included in a digital phased array antenna; based on the amplitude and phase calibration factors, respectively performing amplitude and phase calibration on respective input signals of all antenna channels included in the digital phased array antenna, so that all antenna channels respectively output corresponding amplitude and phase calibration signals;
step S2, acquiring beam forming signals formed by jointly superposing amplitude and phase calibration signals output by all antenna channels included in the digital phased array antenna; determining a steering vector for a main lobe direction signal of the beamformed signal;
Step S3, generating an artificial noise signal without any influence on the main lobe direction signal based on the guiding vector of the main lobe direction signal; generating a sidelobe directional noise signal based on the artificial noise signal; based on the beam forming signal and the sidelobe direction noise signal, a final output signal of the digital phased array antenna is obtained;
and S4, carrying out power distribution on the main lobe direction signal and the side lobe direction noise signal of the beam forming signal on the final output signal to obtain a final transmitting signal.
The beneficial effects of the technical scheme are as follows: according to the multidirectional noise modulation method of the digital phased array antenna, through digital phased array antenna sidelobe suppression and sidelobe noise, noise or signals with specific specifications are added in the sidelobe direction, so that the anti-interception and anti-positioning capabilities of communication can be effectively improved and information deception can be implemented while signal transmission in the main lobe direction is realized; the noise modulation method mainly comprises the steps of carrying out amplitude phase calibration on corresponding amplitude phase calibration factors based on all antenna channels contained in a digital phased array antenna, respectively carrying out amplitude phase calibration on respective input signals of all antenna channels contained in the digital phased array antenna, jointly superposing the amplitude phase calibration signals output by all antenna channels to form beam synthesis signals, and guiding vectors of main lobe direction signals of the beam synthesis signals, so as to generate artificial noise signals without any influence on the main lobe direction signals as side lobe direction noise signals; based on the beam forming signal and the sidelobe direction noise signal, obtaining a final output signal of the digital phased array antenna; and performing power distribution on the main lobe direction signal and the side lobe direction noise signal of the beam forming signal on the final output signal to obtain a final transmitting signal. In the anti-interception aspect, a sidelobe noise signal modulation technology is adopted, the sidelobe direction signal-to-noise ratio is reduced, so that the received antenna radiation sidelobe signal does not have the signal quality conditions of demodulation, interpretation and decoding, namely, the signal with high enough signal-to-noise ratio cannot be obtained for interpretation and restoration and password decoding; in the aspect of anti-positioning, a radiation source side lobe direction signal time-frequency modulation technology is adopted, so that the correlation between a main lobe direction signal and a side lobe direction signal is greatly reduced, a positioning system based on time difference/time frequency difference and the like cannot extract a signal correlation peak through the correlation processing of the main lobe direction signal and the side lobe direction signal, and the possibility of positioning an antenna is effectively reduced; in the aspect of information deception, by changing the time-frequency modulation waveform loaded on the sidelobe direction signal, a plurality of false information correlation peaks can be generated on the basis of realizing anti-positioning, so that a positioning system based on time difference/time frequency difference and the like obtains the number and positions of wrong radiation sources, and information deception is realized.
Preferably, in the step S1, determining a corresponding amplitude calibration factor for performing amplitude calibration on all antenna channels included in the digital phased array antenna further includes:
performing amplitude phase correction on all antenna channels of the digital phased array antenna based on respective amplitude phase deviations of all antenna channels included in the digital phased array antenna, so that all antenna channels have the same amplitude phase parameters;
respectively inputting signals to all antenna channels of the digital phased array antenna with the amplitude and phase corrected, and obtaining output signals corresponding to all antenna channels;
and determining an amplitude and phase calibration factor corresponding to amplitude and phase calibration of all antenna channels contained in the digital phased array antenna based on the input signal and the output signal.
The beneficial effects of the technical scheme are as follows: a digital phased array antenna is an antenna array that may include a number of antenna elements arranged in a one-dimensional array or a two-dimensional array, and all of the antenna elements included in the digital phased array antenna are distributed in an equally spaced fashion. When the digital phased array antenna is a one-dimensional antenna array, the distances between any two adjacent antenna array elements in the digital phased array antenna are equal; when the digital phased array antenna is a two-dimensional antenna array, the spacing between any two adjacent antenna array elements in the digital phased array antenna is equal in the direction parallel to the X axis, and the spacing between any two adjacent antenna array elements in the digital phased array antenna is equal in the direction parallel to the Y axis. Each antenna array element in the digital phased array antenna is used as an antenna channel, each antenna array element independently inputs signals, and the input signals can output corresponding signals after passing through the antenna channel. In an ideal case, all antenna channels included in the digital phased array antenna should have the same amplitude-phase parameters (i.e., amplitude parameters and phase parameters), but under the influence of the production process, there may be a variance in the amplitude-phase parameters of all antenna channels included in the digital phased array antenna, i.e., all antenna channels may have a variance in the amplitude parameters and/or phase parameters, if all antenna channels included in the digital phased array antenna are directly calibrated (i.e., calibrated) in amplitude parameters and/or phase parameters, it will not be guaranteed that each antenna channel can be calibrated to a desired amplitude parameter and/or phase parameter, for this purpose, all antenna channels of the digital phased array antenna are firstly calibrated based on their respective amplitude-phase deviations, so that all antenna channels have the same amplitude-phase parameters, and all antenna channels after the amplitude-phase correction have the same amplitude parameters and phase parameters, so that the reference consistency of the subsequent amplitude-phase calibration of all antenna channels can be guaranteed. After the amplitude and phase correction of all the antenna channels of the digital phased array antenna is completed, signals are respectively input to all the antenna channels, wherein the input signals of each antenna channel can be the same or different, and the digital phased array antenna is not particularly limited; meanwhile, output signals which are formed by each antenna channel after receiving the corresponding input signals are also obtained. The input signal and the output signal of each antenna channel are used to perform optimization calculation on Gaussian white noise suffered by the antenna channels, so that when the respective Gaussian white noise of all the antenna channels is determined to be minimum, the amplitude and phase calibration factors applied to the input signals by all the antenna channels are determined.
Preferably, in the step S1, determining, based on the input signal and the output signal, an amplitude calibration factor corresponding to amplitude calibration of all antenna channels included in the digital phased array antenna includes:
based on the input signal matrix X of all antenna channels and the output signal matrix B of all antenna channels contained in the digital phased array antenna, a signal transmission equation for the digital phased array antenna is constructed as shown in the following formula (1),
B＝X·H+W (1)
in the above formula (1), W represents a gaussian white noise matrix of all antenna channels included in the digital phased array antenna; h represents an amplitude-phase calibration factor matrix corresponding to amplitude-phase calibration of the digital phased array antenna;
based on the above formula (1), a minimum mean square error equation of the following formula (2) with respect to the gaussian white noise matrix is constructed,
solving the formula (2) to obtain an amplitude-phase calibration factor matrix corresponding to the amplitude-phase calibration of the digital phased array antenna; and determining the corresponding amplitude and phase calibration factors for carrying out amplitude and phase calibration on all antenna channels contained in the digital phased array antenna based on the amplitude and phase calibration factor matrix.
The beneficial effects of the technical scheme are as follows: in practical application, in the process of transmitting a received input signal by all antenna channels of the digital phased array antenna, each antenna channel is subjected to noise interference from the aspects of environment and the like, the noise interference forms corresponding Gaussian white noise in the antenna channel, and the Gaussian white noise in the antenna channel is related to the amplitude-phase calibration factor in the antenna channel; the amplitude and phase calibration factor of the antenna channel refers to a factor corresponding to calibration of the amplitude parameter and the phase parameter of the antenna channel. In the case of completing the amplitude-phase correction of all the antenna channels of the digital phased array antenna, it is assumed that the digital phased array antenna includes an input signal matrix X of all the antenna channels and an output signal matrix B of all the antenna channels; the input signal matrix X may be in a one-dimensional matrix form or a two-dimensional matrix form, depending on whether the digital phased array antenna is a one-dimensional array antenna or a two-dimensional array antenna, and the output signal matrix B may be in a one-dimensional matrix form or a two-dimensional matrix form, respectively. According to all antenna channels of the digital phased array antenna, receiving input signals, performing amplitude-phase modulation on the input signals to form corresponding output signals to obtain a signal transmission equation B=X.H+W, determining Gaussian white noise W=B-X.H in the antenna channels, and constructing a minimum mean square error equation about the Gaussian white noise W The meaning of solving the minimum mean square error equation is that the amplitude calibration factor for carrying out amplitude calibration on the antenna channel is obtained by solving, and the Gaussian white noise in the antenna channel is minimum under the action of the amplitude calibration factor, so that the amplitude calibration factor is taken as the most significant of the antenna channelAnd (5) an amplitude phase calibration factor.
Preferably, in the step S1, the solving of the above formula (2) to obtain an amplitude calibration factor matrix corresponding to the amplitude calibration of the digital phased array antenna includes:
based on the input signal matrix X of all antenna channels contained in the digital phased array antenna, an autocorrelation matrix R is obtained x The method comprises the steps of carrying out a first treatment on the surface of the Wherein R is x ＝X×X H ，X H A transposed conjugate matrix representing an input signal matrix X, X representing a cross product;
based on an input signal matrix X of all antenna channels and an output signal matrix B of all antenna channels contained in the digital phased array antenna, a cross-correlation matrix P is obtained; wherein p=x×b * ，B * A conjugate matrix representing the output signal matrix B, x representing the cross product;
based on the following formula (3), obtaining an amplitude-phase calibration factor matrix H corresponding to amplitude-phase calibration of the digital phased array antenna,
in the above formula (3),representing an autocorrelation matrix R x Is a matrix of inverse of (a).
The beneficial effects of the technical scheme are as follows: solving the minimum mean square error equation to obtain a wiener Hough optimal solutionThat is, when the matrix formed by the amplitude-phase calibration factors corresponding to all the antenna channels of the digital phased array antenna is the wiener hough optimal solution, the gaussian white noise of all the antenna channels of the digital phased array antenna is minimum. In the actual solving process, the input signal and the output signal can be considered to be in a second order stable state, and the R is obtained by estimating and calculating by using an average method x ＝X×X H P=x×b * Upper, upperThe process of solving the minimum mean square error equation is a conventional approach in the art and will not be described in detail here.
Preferably, in the step S2, determining a steering vector of a main lobe direction signal of the beamformed signal includes:
based on the antenna channel distribution geometric parameters of the digital phased array antenna, determining the overall steering vector of the digital phased array antenna
Steering vector from the digital phased array antenna as a wholeDetermining the steering vector of the main lobe direction signal of the beamformed signal>
The beneficial effects of the technical scheme are as follows: in the actual signal processing, the beam forming signal is obtained by digital beam forming of output signals of all antenna channels of the digital phased array antenna, the main lobe direction signal refers to a signal of the beam forming signal corresponding to the main lobe direction, and the gain of the signal in the main lobe direction of the beam forming signal is maximum, meanwhile, the main lobe direction of the beam forming signal is related to the guiding vector of the whole digital phased array antenna, and the guiding vector of the whole digital phased array antenna is determined by the geometric distribution of all antenna channels of the digital phased array antenna. According to the working principle of the digital phased array antenna, the whole steering vector of the digital phased array antenna can be obtained by assuming the digital phased array antenna to be a two-dimensional plane matrix of N x M The following are provided:
wherein,is the normalized amplitude Xiang Quan value, θ is the pitch angle of the signal, +.>Is the azimuth angle of the signal, d x Is the distance d between the antenna array elements parallel to the X-axis direction in the digital phased array antenna y Is the antenna element spacing parallel to the Y-axis direction in the digital phased array antenna.
Analyzing the steering vector of the whole digital phased array antenna, and taking the vector with the maximum gain as the steering vector of the main lobe direction signal of the beam forming signalθ 0 Is the pitch angle of the main lobe direction signal,is the azimuth of the main lobe direction signal.
The above is only exemplified by taking the digital phased array antenna as a two-dimensional plane matrix, and the digital phased array antenna can be actually distributed in a one-dimensional matrix. When the digital phased array antenna is in one-dimensional matrix distribution, the determination of the steering vector of the whole digital phased array antenna and the steering vector of the main lobe direction signal is similar to the determination process, and can be obtained by using a corresponding mathematical reasoning process, which belongs to the conventional technical means in the field and is not described in detail herein.
Preferably, in the step S2, the antenna channel distribution geometry of the digital phased array antenna includes an antenna element pitch parallel to the X-axis direction and an antenna element pitch parallel to the Y-axis direction in the digital phased array antenna.
The beneficial effects of the technical scheme are as follows: according to the working principle of the digital phased array antenna, the whole steering vector of the digital phased array antenna is determined by the mutual distribution position relation of all antenna array elements contained in the digital phased array antenna, when the digital phased array antenna is a two-dimensional plane matrix, the antenna channel distribution geometric parameters of the digital phased array antenna comprise the antenna array element spacing parallel to the X-axis direction and the antenna array element spacing parallel to the Y-axis direction in the digital phased array antenna, and the whole steering vector of the digital phased array antenna and the steering vector of the main lobe direction signal can be accurately calculated by determining the antenna array element spacing parallel to the X-axis direction and the antenna array element spacing parallel to the Y-axis direction in the digital phased array antenna.
Preferably, in the step S3, an artificial noise signal having no influence on the main lobe direction signal is generated based on the steering vector of the main lobe direction signal; based on the artificial noise signal, generating a sidelobe directional noise signal, comprising:
based on the following formula (4), a steering vector of the artificial noise signal having no influence on the main lobe direction signal is determined,
in the above-mentioned formula (4), Guide vector W representing the correspondence of an artificial noise signal 0 Is a transposed matrix of (a);
based on the guiding vector W corresponding to the artificial noise signal 0 A sidelobe directional noise signal is generated.
The beneficial effects of the technical scheme are as follows: the main lobe direction signal included in the beam forming signal corresponding to the digital phased array antenna is the direction corresponding to the signal with the maximum gain in the beam forming signal. According to the signal interference principle, when the steering vectors of the two signals are perpendicular to each other, no interference occurs between the two signals, i.e. the two signals do not affect each other. Based on the principle, the guiding vector of the main lobe direction signalBased on which the steering vector will be takenThe vertical guide vector is used as the guide vector corresponding to the artificial noise signal, and the side lobe direction noise signal is generated based on the guide vector of the artificial noise signal, so that the side lobe direction noise can be ensured not to influence the main lobe direction signal.
Preferably, in the step S3, obtaining a final output signal of the digital phased array antenna based on the beam forming signal and the sidelobe direction noise signal includes:
based on the beamformed signal and the sidelobe directional noise signal, a final output signal of the digital phased array antenna is obtained using the following equation (5),
In the above formula (5), d represents the final output signal of the digital phased array antenna;a steering vector representing the digital phased array antenna as a whole; x represents an input signal matrix of all antenna channels contained in the digital phased array antenna; />Representing the beamformed signal; w (W) 0 Representing the sidelobe directional noise signal.
The beneficial effects of the technical scheme are as follows: as known from the signal transmission principle of the digital phased array antenna, the beam formed by superimposing the output signals of all the antenna channels of the digital phased array antenna can be regarded as a signal which is finally output by acting on the input signals of all the antenna channels of the digital phased array antenna by the guide vector of the whole digital phased array antenna. By the above formula (5), the superposition characterization of the beam forming signal and the sidelobe direction noise signal can be performed on the final output signal of the digital phased array antenna under the condition that the sidelobe direction noise signal is added, the above formula (5) is only one mathematical characterization mode of the final output signal of the digital phased array antenna, the characterization mode of the final output signal is not limited to the above formula (5), and the signal composition component of the final output signal is more clearly clarified by the above formula (5).
Preferably, in the step S4, power allocation is performed on the final output signal with respect to the main lobe direction signal and the side lobe direction noise signal of the beam forming signal, to obtain a final transmission signal, including:
setting the total transmission power of the final transmission signal as P, setting the power ratio of the beam forming signal to the final transmission signal as eta, and setting the power ratio of the sidelobe direction noise signal to the final transmission signal as 1-eta
Signal power P of main lobe direction signal of the beam-formed signal s (θ) as follows:
in the above-mentioned formula (6),a steering vector representing a main lobe direction signal of the beamformed signal;representation->Is a transposed conjugate matrix of (a); e represents an average value; II represents solving a first-order norm; II 2 Representing the second order norm; θ represents the pitch angle of the signal;
signal power P of the sidelobe directional noise signal n (θ) as follows:
in the above-mentioned formula (7),a steering vector representing a main lobe direction signal of the beamformed signal;representation->Is a transposed conjugate matrix of (a); e represents an average value; II represents solving a first-order norm; II 2 Representing the second order norm; w (W) 0 A side lobe direction noise signal; θ represents the pitch angle of the signal;
The error vector magnitude EVM (theta) of the final transmit signal is determined using the following equation (8),
constraint optimization problem solving is carried out on the error vector magnitude EVM (theta), and the power ratio eta of the beam synthesis signal in the final transmitting signal is obtained through solving;
and then, based on the power duty ratio eta obtained by solving, carrying out power distribution on the main lobe direction signal and the side lobe direction noise signal of the beam forming signal on the final output signal to obtain a final transmitting signal.
The beneficial effects of the technical scheme are as follows: in this way, since the signal intensity ratio between the main lobe direction signal and the non-main lobe direction signal in the beam forming signal is relatively fixed and the main lobe direction signal occupies most of the signal intensity in the beam forming signal, the signal power of the main lobe direction signal of the beam forming signal can be regarded as being equal to the signal power of the beam forming signal. The total power of the transmission of the final transmission signal is set to be P, and the beam forming signal is transmitted at the final transmissionThe power ratio of the transmitted signal is eta, the power ratio of the sidelobe direction noise signal in the final transmitted signal is 1-eta, and the signal power P of the main lobe direction signal of the beam forming signal is calculated according to the signal transmission principle of the digital phased array antenna s (θ) and the signal power P of the sidelobe direction noise signal n And (theta) so as to obtain the error vector magnitude EVM (theta) of the final transmitting signal, and solving a constraint optimization problem on the error vector magnitude EVM (theta), thereby solving a power duty ratio eta corresponding to the optimal solution of the constraint optimization problem. And then, according to the power duty ratio eta obtained by solving, carrying out power distribution on the main lobe direction signal and the side lobe direction noise signal of the beam forming signal on the final output signal to obtain a final transmitting signal, and ensuring the accuracy and the reliability of the power distribution.
Preferably, in the step S4, a constraint optimization problem is solved for the error vector magnitude EVM (θ), and a power ratio η of the beam-formed signal to the final transmission signal is obtained by solving, including:
set to the width omega of the main lobe direction m Within, the error vector magnitude EVM (θ) is no greater than a threshold Th m And width omega in the paravalvular direction s Within, the error vector magnitude EVM (θ) is not less than the threshold Th s Thereby determining the following constraint optimization equation,
max PE,s.t.EVM(θ)≤Th m ,θ∈Ω m
EVM(θ)≥Th s ,θ∈Ω s
and solving the constraint optimization equation, so as to obtain the power ratio eta of the beam forming signal in the final transmitting signal.
The beneficial effects of the technical scheme are as follows: by setting the width omega in the main lobe direction m Within, the error vector magnitude EVM (θ) is no greater than a threshold Th m And width omega in the paravalvular direction s Within, the error vector magnitude EVM (θ) is not less than the threshold Th s Thereby determining the constraint optimization equation, which is an expression of the conventional constraint optimization equation in the art, and is not described in detail hereinThe method comprises the steps of carrying out a first treatment on the surface of the In addition, matlab software can be adopted for solving and calculating the constraint optimization equation, and the method belongs to the conventional technical means in the field. By solving the constraint optimization equation, the optimal power ratio eta can be obtained, so that the power distribution of the main lobe direction signal and the side lobe direction noise signal of the beam forming signal can be accurately carried out, and the controllability of the antenna signal transmission is improved.
Referring to fig. 2-3, the digital phased array antenna multidirectional noise modulation method provided by the invention is respectively a sidelobe noise adding directional diagram under different power distribution and a prototype outfield test noise power ratio is gradually increased from 0 to 1 main lobe and sidelobe constellation diagram under the digital phased array antenna multidirectional noise modulation method provided by the invention. As can be seen from fig. 2 to fig. 3, when the main lobe direction expected signal and the sidelobe direction noise signal have different power distribution ratios when the power of the total power transmitted by the digital phased array antenna is different, the signal components represented by the main lobe direction expected signal and the sidelobe direction noise signal are correspondingly different, and the appropriate power distribution ratio can be selected according to the actual signal transmission occasion requirements, so as to ensure the signal transmission reliability and the signal transmission safety of the digital phased array antenna.
In general, the multidirectional noise modulation method of the digital phased array antenna can improve the anti-interception capability and the anti-positioning capability of the phased array antenna, improve the safety and the concealment of equipment such as measurement and control equipment provided with the phased array antenna, and is particularly applied to the field of missile/satellite remote control.
At present, four types of reconnaissance and interception aiming at missile/satellite remote control signals are mainly adopted: firstly, the ground portable near side lobe signal and the far side lobe signal of the near reconnaissance satellite uplink signal can reach tens of meters to several kilometers; secondly, the main lobe and the nearby lobe signals of the satellite uplink signals are subjected to reconnaissance interception and direction finding positioning by using an unmanned plane or a low-orbit reconnaissance satellite, and the action distance can reach hundreds of kilometers; thirdly, the electronic reconnaissance satellite flies through the top, and directly intercepts an uplink main lobe signal; and fourthly, positioning the satellite uplink signal, and positioning the measurement and control station by detecting the time difference and Doppler frequency difference of the main satellite main lobe signal and the adjacent satellite side lobe signal.
For the above reconnaissance and positioning modes, the achievement has good effects, and is mainly characterized in the following three aspects:
firstly, the method can be used as a matching means of information source and channel encryption, effectively protects satellite uplink signal communication information, ensures that important ship satellite uplink signals, measurement and control signals of a measurement and control station base, satellite navigation ground station uplink signals and the like are not acquired by approaching reconnaissance of non-cooperators, reduces the capability of the non-cooperators for acquiring original signals through side lobes, and protects important signal specifications of the non-cooperators from being analyzed and passwords from being decoded.
And secondly, the system is used for protecting the position of the measurement and control station. Because the signal condition required by the direction finding algorithm can not reach the demodulation threshold after the signal-to-noise ratio of the side lobe is reduced, the non-cooperators can not use the satellite uplink positioning technology such as double satellites/three satellites to position the measurement and control station.
And thirdly, the method can be popularized and applied to space satellites, and the probability that downlink signal side lobe leakage is intercepted by a non-partner is reduced.
As can be seen from the content of the above embodiment, the multidirectional noise modulation method of the digital phased array antenna can effectively improve the anti-interception and anti-positioning capabilities of communication and implement information spoofing while realizing signal transmission in the main lobe direction by adding noise or signals with specific specifications in the side lobe direction through sidelobe suppression and sidelobe noise of the digital phased array antenna; the noise modulation method mainly comprises the steps of carrying out amplitude phase calibration on corresponding amplitude phase calibration factors based on all antenna channels contained in a digital phased array antenna, respectively carrying out amplitude phase calibration on respective input signals of all antenna channels contained in the digital phased array antenna, jointly superposing the amplitude phase calibration signals output by all antenna channels to form beam synthesis signals, and guiding vectors of main lobe direction signals of the beam synthesis signals, so as to generate artificial noise signals without any influence on the main lobe direction signals as side lobe direction noise signals; based on the beam forming signal and the sidelobe direction noise signal, obtaining a final output signal of the digital phased array antenna; and performing power distribution on the main lobe direction signal and the side lobe direction noise signal of the beam forming signal on the final output signal to obtain a final transmitting signal. In the anti-interception aspect, a sidelobe noise signal modulation technology is adopted, the sidelobe direction signal-to-noise ratio is reduced, so that the received antenna radiation sidelobe signal does not have the signal quality conditions of demodulation, interpretation and decoding, namely, the signal with high enough signal-to-noise ratio cannot be obtained for interpretation and restoration and password decoding; in the aspect of anti-positioning, a radiation source side lobe direction signal time-frequency modulation technology is adopted, so that the correlation between a main lobe direction signal and a side lobe direction signal is greatly reduced, a positioning system based on time difference/time frequency difference and the like cannot extract a signal correlation peak through the correlation processing of the main lobe direction signal and the side lobe direction signal, and the possibility of positioning an antenna is effectively reduced; in the aspect of information deception, by changing the time-frequency modulation waveform loaded on the sidelobe direction signal, a plurality of false information correlation peaks can be generated on the basis of realizing anti-positioning, so that a positioning system based on time difference/time frequency difference and the like obtains the number and positions of wrong radiation sources, and information deception is realized.
It will be apparent to those skilled in the art that various modifications and variations can be made to the present invention without departing from the spirit or scope of the invention. Thus, it is intended that the present invention also include such modifications and alterations insofar as they come within the scope of the appended claims or the equivalents thereof.
Claims (10)
1. A multidirectional noise modulation method of a digital phased array antenna comprises the following steps:
step S1, determining an amplitude-phase calibration factor corresponding to amplitude-phase calibration of all antenna channels included in a digital phased array antenna; based on the amplitude and phase calibration factors, respectively performing amplitude and phase calibration on respective input signals of all antenna channels included in the digital phased array antenna, so that all antenna channels respectively output corresponding amplitude and phase calibration signals;
step S2, acquiring a beam forming signal formed by jointly superposing amplitude and phase calibration signals output by all antenna channels included in the digital phased array antenna; determining a steering vector for a main lobe direction signal of the beamformed signal;
step S3, generating an artificial noise signal which does not have any influence on the main lobe direction signal based on the guiding vector of the main lobe direction signal; generating a sidelobe directional noise signal based on the artificial noise signal; based on the beam synthesis signal and the sidelobe direction noise signal, a final output signal of the digital phased array antenna is obtained;
And S4, carrying out power distribution on the main lobe direction signal and the side lobe direction noise signal of the beam forming signal on the final output signal to obtain a final transmitting signal.
2. The digital phased array antenna multidirectional noise modulation method as claimed in claim 1, wherein: in the step S1, determining an amplitude calibration factor corresponding to the amplitude calibration of all antenna channels included in the digital phased array antenna, further includes:
performing amplitude phase correction on all antenna channels of the digital phased array antenna based on respective amplitude phase deviations of all antenna channels included in the digital phased array antenna, so that all antenna channels have the same amplitude phase parameters;
respectively inputting signals to all antenna channels of the digital phased array antenna with the amplitude and phase corrected, and obtaining output signals corresponding to all antenna channels;
and determining an amplitude and phase calibration factor corresponding to amplitude and phase calibration of all antenna channels contained in the digital phased array antenna based on the input signal and the output signal.
3. A digital phased array antenna multidirectional noise modulation method as claimed in claim 2, wherein: in the step S1, determining, based on the input signal and the output signal, an amplitude calibration factor corresponding to amplitude calibration of all antenna channels included in the digital phased array antenna, including:
Based on the input signal matrix X of all antenna channels and the output signal matrix B of all antenna channels contained in the digital phased array antenna, a signal transmission equation for the digital phased array antenna is constructed as shown in the following formula (1),
B＝X·H+W (1)
in the above formula (1), W represents a gaussian white noise matrix of all antenna channels included in the digital phased array antenna; h represents an amplitude-phase calibration factor matrix corresponding to amplitude-phase calibration of the digital phased array antenna;
based on the above formula (1), a minimum mean square error equation of the following formula (2) with respect to the gaussian white noise matrix is constructed,
solving the formula (2) to obtain an amplitude-phase calibration factor matrix corresponding to the amplitude-phase calibration of the digital phased array antenna; and determining the corresponding amplitude and phase calibration factors for carrying out amplitude and phase calibration on all antenna channels contained in the digital phased array antenna based on the amplitude and phase calibration factor matrix.
4. A digital phased array antenna multidirectional noise modulation method according to claim 3, wherein: in the step S1, the above formula (2) is solved to obtain an amplitude calibration factor matrix corresponding to the amplitude calibration of the digital phased array antenna, including:
Based on the input signal matrix X of all antenna channels contained in the digital phased array antenna, an autocorrelation matrix R is obtained x The method comprises the steps of carrying out a first treatment on the surface of the Wherein R is x ＝X×X H ，X H A transposed conjugate matrix representing an input signal matrix X, X representing a cross product;
obtaining a cross-correlation matrix P based on an input signal matrix X of all antenna channels and an output signal matrix B of all antenna channels contained in the digital phased array antenna; wherein p=x×b * ，B * A conjugate matrix representing the output signal matrix B, x representing the cross product;
based on the following formula (3), obtaining an amplitude-phase calibration factor matrix H corresponding to the amplitude-phase calibration of the digital phased array antenna,
in the above formula (3),representing an autocorrelation matrix R x Is a matrix of inverse of (a).
5. The digital phased array antenna multidirectional noise modulation method as claimed in claim 4, wherein: in the step S2, determining a steering vector of a main lobe direction signal of the beam forming signal includes:
determining a steering vector of the whole digital phased array antenna based on the antenna channel distribution geometric parameters of the digital phased array antenna
Steering vector from the digital phased array antenna as a wholeDetermining a steering vector for a main lobe direction signal of said beamformed signal >
6. The digital phased array antenna multidirectional noise modulation method as claimed in claim 5, wherein: in the step S2, the antenna channel distribution geometrical parameters of the digital phased array antenna include an antenna array element pitch parallel to the X-axis direction and an antenna array element pitch parallel to the Y-axis direction in the digital phased array antenna.
7. The digital phased array antenna multidirectional noise modulation method as claimed in claim 6, wherein: in the step S3, an artificial noise signal having no influence on the main lobe direction signal is generated based on the steering vector of the main lobe direction signal; generating a sidelobe directional noise signal based on the artificial noise signal, comprising:
based on the following formula (4), a steering vector of an artificial noise signal having no influence on the main lobe direction signal is determined,
in the above-mentioned formula (4),guide vector W representing the correspondence of an artificial noise signal 0 Is a transposed matrix of (a); based on the guiding vector W corresponding to the artificial noise signal 0 A sidelobe directional noise signal is generated.
8. The digital phased array antenna multidirectional noise modulation method as claimed in claim 7, wherein: in the step S3, obtaining a final output signal of the digital phased array antenna based on the beam forming signal and the sidelobe direction noise signal, including:
Obtaining a final output signal of the digital phased array antenna based on the beam forming signal and the sidelobe direction noise signal by using the following formula (5),
in the above formula (5), d represents a final output signal of the digital phased array antenna;a steering vector representing the digital phased array antenna as a whole; x represents an input signal matrix of all antenna channels contained by the digital phased array antenna; />Representing the beamformed signal; w (W) 0 Representing the sidelobe directional noise signal.
9. The digital phased array antenna multidirectional noise modulation method as claimed in claim 8, wherein: in the step S4, performing power allocation on the final output signal with respect to the main lobe direction signal and the side lobe direction noise signal of the beam forming signal to obtain a final transmission signal, including:
setting the total transmission power of the final transmission signal as P, setting the power ratio of the beam forming signal to the final transmission signal as eta, and setting the power ratio of the sidelobe direction noise signal to the final transmission signal as 1-eta
Signal power P of main lobe direction signal of the beam-formed signal s (θ) as follows:
In the above-mentioned formula (6),a steering vector representing a main lobe direction signal of the beamformed signal;representation->Is a transposed conjugate matrix of (a); e represents an average value; the first-order norm is calculated by the expression; i 2 Representing the second order norm; θ represents the pitch angle of the signal;
signal power P of the sidelobe directional noise signal n (θ) as follows:
in the above-mentioned formula (7),a steering vector representing a main lobe direction signal of the beamformed signal;representation->Is a transposed conjugate matrix of (a); e represents an average value; the first-order norm is calculated by the expression; i 2 Representing the second order norm; w (W) 0 A side lobe direction noise signal; θ represents the pitch angle of the signal;
the error vector magnitude EVM (theta) of the final transmit signal is determined using the following equation (8),
performing constraint optimization problem solving on the error vector magnitude EVM (theta), and solving to obtain the power ratio eta of the beam forming signal in the final transmitting signal;
and then, based on the power duty ratio eta obtained by solving, carrying out power distribution on the main lobe direction signal and the side lobe direction noise signal of the beam synthesis signal on the final output signal to obtain a final transmitting signal.
10. The digital phased array antenna multidirectional noise modulation method as claimed in claim 9, wherein: in the step S4, a constraint optimization problem is solved for the error vector magnitude EVM (θ), and a power ratio η of the beam forming signal to the final transmission signal is obtained by solving, including:
Set to the width omega of the main lobe direction m In, the error vector magnitude EVM (θ) is not greater than a threshold Th m And width omega in the paravalvular direction s In the error vector magnitude EVM (θ) is not less than the threshold Th s Thereby determining the following constraint optimization equation,
maxPE,s.t.EVM(θ)≤Th m ,θ∈Ω m
EVM(θ)≥Th s ,θ∈Ω s
and solving the constraint optimization equation, so as to obtain the power ratio eta of the beam forming signal in the final transmitting signal.
Applications Claiming Priority (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202310537858.0A CN116366199A (en) | 2023-05-15 | 2023-05-15 | Multidirectional noise modulation method for digital phased array antenna |
| CN2023105378580 | 2023-05-15 |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN117459176A true CN117459176A (en) | 2024-01-26 |
Family
ID=86925793
Family Applications (2)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202310537858.0A Pending CN116366199A (en) | 2023-05-15 | 2023-05-15 | Multidirectional noise modulation method for digital phased array antenna |
| CN202311465270.5A Pending CN117459176A (en) | 2023-05-15 | 2023-11-06 | Multidirectional noise modulation method for digital phased array antenna |
Family Applications Before (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202310537858.0A Pending CN116366199A (en) | 2023-05-15 | 2023-05-15 | Multidirectional noise modulation method for digital phased array antenna |
Country Status (1)
| Country | Link |
|---|---|
| CN (2) | CN116366199A (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN117890689A (en) * | 2024-03-13 | 2024-04-16 | 成都华兴大地科技有限公司 | Calibration method suitable for phased array without amplitude control |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN117579451B (en) * | 2024-01-15 | 2024-04-05 | 成都中科合迅科技有限公司 | Digital phased array antenna multidirectional noise modulation method for controlling noise distribution |
Family Cites Families (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| SU1840239A1 (en) * | 1990-03-26 | 2006-08-20 | Федеральное государственное унитарное предприятие "НИИИП" | Method and device for noise suppression in vicinity of radar antenna side lobes |
| US20080102760A1 (en) * | 2006-10-02 | 2008-05-01 | Sierra Wireless, Inc. | Centralized wireless communication system |
| US8358239B2 (en) * | 2010-04-01 | 2013-01-22 | Massachusetts Institute Of Technology | Iterative clutter calibration with phased array antennas |
| CN106096218B (en) * | 2016-08-29 | 2019-10-15 | 中国人民解放***箭军工程大学 | A kind of mobile satellite communication bare cloth planar antenna array optimization method |
| CN106772303B (en) * | 2016-12-22 | 2019-02-01 | 西安电子工程研究所 | The channel level clutter suppression method of MTD radar |
| CN110187315B (en) * | 2019-06-25 | 2022-11-22 | 湖南太康电子信息技术有限公司 | Online sidelobe suppression method and system for ultra-wideband step frequency MIMO radar |
| CN114566808B (en) * | 2022-03-01 | 2024-05-28 | 北京中测国宇科技有限公司 | Millimeter wave phased array antenna amplitude and phase calibration system and method based on compact range |
-
2023
- 2023-05-15 CN CN202310537858.0A patent/CN116366199A/en active Pending
- 2023-11-06 CN CN202311465270.5A patent/CN117459176A/en active Pending
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN117890689A (en) * | 2024-03-13 | 2024-04-16 | 成都华兴大地科技有限公司 | Calibration method suitable for phased array without amplitude control |
| CN117890689B (en) * | 2024-03-13 | 2024-05-17 | 成都华兴大地科技有限公司 | Calibration method suitable for phased array without amplitude control |
Also Published As
| Publication number | Publication date |
|---|---|
| CN116366199A (en) | 2023-06-30 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| US20220113363A1 (en) | Direction of arrival estimation | |
| EP3254133B1 (en) | Direction finding using signal power | |
| CN117459176A (en) | Multidirectional noise modulation method for digital phased array antenna | |
| CN103630910B (en) | A kind of anti-interference method of GNSS receiver equipment | |
| Huang et al. | Frequency-domain AoA estimation and beamforming with wideband hybrid arrays | |
| CN106066473B (en) | The multi-beam joint angle measurement of MIMO radar target and Contact fusion method under orthogonal waveforms | |
| US11081788B1 (en) | System and method for near-field testing of a phased array antenna | |
| CN107607915B (en) | Active phased array radar receiving channel correction method based on fixed ground object echo | |
| CN112949100B (en) | Main lobe interference resisting method for airborne radar | |
| Ji et al. | A dual-function radar-communication system using FDA | |
| CN105044684A (en) | Formation method of MIMO tracking radar emission wave beam based on radio frequency stealth | |
| CN104076337B (en) | Airborne radar clutter suppression method based on array element amplitude and phase error correction | |
| US11721894B2 (en) | System and method for near-field testing of a phased array antenna | |
| CN111352077B (en) | Design method of low-interception frequency-controlled array MIMO radar system based on multi-proportion fractional planning | |
| KR101807499B1 (en) | Apparatus for estimating direction of arrival based on a circularly arraying antenna compensating intermutual interference and method therefor | |
| CN110868271A (en) | Multicast-based frequency control array antenna selection method | |
| US6356231B1 (en) | Monopulse radar processor for resolving two sources | |
| CN113364554A (en) | Perception-assisted uplink secure communication method | |
| CN108490428A (en) | A kind of dimensionality reduction submatrix for anti-major lobe suppression is than phase Tracking Angle Measurement method | |
| Mao et al. | Electromagnetic vortex imaging based on OAM multiplexing beam with orthogonal polyphase coding | |
| CN107918112A (en) | Combined transceiving Beamforming Method based on the collaboration of active passive radar | |
| CN107179528B (en) | Radar emission beam zero setting method based on amplitude modulation and phase modulation auxiliary antenna | |
| Propastin et al. | Determining the DOA of jamming signals using root-music and MVDR algorithms for planar elliptical digital antenna array | |
| CN117579451B (en) | Digital phased array antenna multidirectional noise modulation method for controlling noise distribution | |
| Urzaiz et al. | Digital beamforming on receive array calibration: Application to a persistent X-band surface surveillance radar |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination |