CN112083389A - Real-time calibration method for circular array antenna - Google Patents

Real-time calibration method for circular array antenna Download PDF

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CN112083389A
CN112083389A CN202011007239.3A CN202011007239A CN112083389A CN 112083389 A CN112083389 A CN 112083389A CN 202011007239 A CN202011007239 A CN 202011007239A CN 112083389 A CN112083389 A CN 112083389A
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CN112083389B (en
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刘思远
赵树龙
覃波
武晓坤
蔺庆
潘喆
莫新钱
郑舒文
廖正伟
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Chengdu Mingsi Digital Source Technology Co ltd
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Chengdu Weilian Yunzhi Technology Co ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/40Means for monitoring or calibrating
    • G01S7/4004Means for monitoring or calibrating of parts of a radar system
    • G01S7/4008Means for monitoring or calibrating of parts of a radar system of transmitters
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/02Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
    • G01S7/40Means for monitoring or calibrating
    • G01S7/4004Means for monitoring or calibrating of parts of a radar system
    • G01S7/4021Means for monitoring or calibrating of parts of a radar system of receivers
    • YGENERAL 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
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02ATECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
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Abstract

The invention discloses a real-time calibration method for a circular array antenna, which comprises the following steps: comparing each path of signals to be calibrated in the circular array antenna by using the set calibration reference signals, and determining corresponding amplitude-phase data of each path of signals; performing multiple iterative processing on the amplitude-phase data corresponding to each path of signal to obtain radio frequency channel calibration data of the circular array antenna; and carrying out phase calibration on the radio frequency channel calibration data of the circular array antenna to realize real-time calibration of the circular array antenna.

Description

Real-time calibration method for circular array antenna
Technical Field
The invention relates to the technical field of radar antennas, in particular to a real-time calibration method for a circular array antenna.
Background
The phased array radar has a large number of radio frequency transceiving channels, each transceiving channel has analog devices such as an amplifier, a filter and a mixer, the quality of a wave Beam formed by a Digital Beam Forming (DBF) can be influenced by the existence of channel inconsistency, and the Beam directivity, the main lobe width, the side lobe level and the wave Beam shape are greatly influenced, so that the overall performance of the radar is influenced. And the channel calibration obtains the amplitude-phase inconsistency among the channels through testing, and compensates the channels to obtain a better beam pattern. Therefore, the amplitude-phase consistency error calibration of the receiving and transmitting channels of the phased array radar is a problem that each phase of the phased array radar cannot avoid.
A phased array radar antenna is formed by a plurality of antenna elements, each receiving antenna element or a sub-array of several antenna elements being considered as a receiving channel. In order to ensure the ultralow sidelobe performance of the antenna and the effectiveness of space-time adaptive processing (STAP) adopted by signal processing, a digital technology is adopted by a receiving channel. The wavefront calibration puts high demands on the amplitude-phase consistency of the multipath receiving channels.
In the real-time working process of the radar, the consistency of channels changes due to the influence of the existence of active devices, temperature factors, device aging and other factors. The method can realize the real-time calibration of the circular array antenna under the control of the terminal instruction.
Disclosure of Invention
The technical problem solved by the scheme provided by the embodiment of the invention is how to realize the real-time online calibration of the circular array antenna.
The real-time calibration method for the circular array antenna provided by the embodiment of the invention comprises the following steps:
comparing each path of signals to be calibrated in the circular array antenna by using the set calibration reference signals, and determining corresponding amplitude-phase data of each path of signals;
performing multiple iterative processing on the amplitude-phase data corresponding to each path of signal to obtain radio frequency channel calibration data of the circular array antenna;
and carrying out phase calibration on the radio frequency channel calibration data of the circular array antenna to realize real-time calibration of the circular array antenna.
Preferably, the phase calibration of the channel calibration data of the circular array antenna includes radio frequency channel transmission calibration and radio frequency channel reception calibration.
Preferably, the radio frequency channel transmission calibration comprises:
the radar transmitter controls a transmitting channel thereof to transmit a single carrier frequency signal of a corresponding frequency point according to a control instruction issued by the display control terminal;
looping the single carrier frequency signal to a receiving channel through a circulator and an internal monitoring network to obtain an echo signal of the corresponding channel, and calculating an amplitude compensation quantity and a phase compensation quantity corresponding to the echo signal;
the amplitude compensation quantity of the emission calibration is compensated in the generation of radar emission waveforms, and the phase compensation quantity is completed in a wave control system.
Preferably, the calculating the amplitude compensation amount and the phase compensation amount corresponding to the echo signal includes:
obtaining a calibrated CW reference branch signal ynm(t);
With the CW reference channel as a reference, obtaining a signal y after CAL signals of all T/R component branches eliminate coupling ratios and weighting coefficientscw(t);
Are respectively paired with ynm(t),ycw(t) performing a multi-point FFT to obtain ynm(1) And ycw(1);
According to the ynm(1) And ycw(1) Calculating a compensation coefficient
Figure BDA0002696364950000021
In the formula (f)nmThe modulus and the phase of (a) are respectively the compensation quantity of the amplitude and the compensation quantity of the phase; α, b are signal amplitudes;nm
Figure BDA0002696364950000022
is a unit level independent amplitude-phase error.
Preferably, the radio frequency channel reception calibration includes:
controlling a radar transmitter to transmit single carrier frequency signals of corresponding frequency points through an internal monitoring network through a display control terminal;
looping the single carrier frequency signal to a receiving channel through a circulator and an internal monitoring network to obtain an echo signal of the corresponding channel, and calculating an amplitude compensation quantity and a phase compensation quantity corresponding to the echo signal;
the amplitude compensation amount and the phase compensation amount of the reception calibration are completed in the DBF.
Preferably, the calculating the amplitude compensation amount and the phase compensation amount corresponding to the echo signal includes:
obtaining a calibrated CW reference branch signal ynm(t);
With the CW reference channel as a reference, obtaining a signal y after CAL signals of all T/R component branches eliminate coupling ratios and weighting coefficientscw(t);
Are respectively paired with ynm(t),ycw(t) performing a multi-point FFT to obtain ynm(1) And ycw(1);
According to the ynm(1) And ycw(1) Calculating a compensation coefficient
Figure BDA0002696364950000031
In the formula (f)nmThe modulus and the phase of (a) are respectively the compensation quantity of the amplitude and the compensation quantity of the phase; α, b are signal amplitudes;nm
Figure BDA0002696364950000032
is a unit level independent amplitude-phase error.
Preferably, the comparing each path of signals to be calibrated in the circular array antenna by using the set calibration reference signal, and determining the corresponding amplitude-phase data of each path of signals includes:
obtaining a calibration signal x for calibrating coupling line couplingnm(t);
Using the calibrated coupled signal as a calibrated reference signal Xref(t);
Comparing the channel signal with the reference signal to give a calibration output result Pout=Xnm/Xref
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the invention without limiting the invention. In the drawings:
fig. 1 is a flowchart of a real-time calibration method for a circular array antenna according to an embodiment of the present invention;
fig. 2 is a schematic diagram illustrating calibration of rf channels with odd transmission numbers according to an embodiment of the present invention;
fig. 3 is a schematic diagram of calibration of rf channels with even transmission numbers according to an embodiment of the present invention.
Detailed Description
The preferred embodiments of the present invention will be described in detail below with reference to the accompanying drawings, and it should be understood that the preferred embodiments described below are only for the purpose of illustrating and explaining the present invention, and are not to be construed as limiting the present invention.
Fig. 1 is a flowchart of a real-time calibration method for a circular array antenna according to an embodiment of the present invention, as shown in fig. 1, including:
step 1: comparing each path of signals to be calibrated in the circular array antenna by using the set calibration reference signals, and determining corresponding amplitude-phase data of each path of signals;
step 2: performing multiple iterative processing on the amplitude-phase data corresponding to each path of signal to obtain radio frequency channel calibration data of the circular array antenna;
and step 3: and carrying out phase calibration on the radio frequency channel calibration data of the circular array antenna to realize real-time calibration of the circular array antenna.
Specifically, the phase calibration of the channel calibration data of the circular array antenna includes a radio frequency channel transmission calibration and a radio frequency channel reception calibration.
Further, the radio frequency channel transmission calibration includes: the radar transmitter controls a transmitting channel thereof to transmit a single carrier frequency signal of a corresponding frequency point according to a control instruction issued by the display control terminal; looping the single carrier frequency signal to a receiving channel through a circulator and an internal monitoring network to obtain an echo signal of the corresponding channel, and calculating an amplitude compensation quantity and a phase compensation quantity corresponding to the echo signal; the amplitude compensation quantity of the emission calibration is compensated in the generation of radar emission waveforms, and the phase compensation quantity is completed in a wave control system.
Wherein the calculating the amplitude compensation amount and the phase compensation amount corresponding to the echo signal comprises: obtaining a calibrated CW reference branch signal ynm(t); with the CW reference channel as a reference, obtaining a signal y after CAL signals of all T/R component branches eliminate coupling ratios and weighting coefficientscw(t); are respectively paired with ynm(t),ycw(t) performing a multi-point FFT to obtain ynm(1) And ycw(1) (ii) a According to the ynm(1) And ycw(1) Calculating a compensation coefficient
Figure BDA0002696364950000041
In the formula (f)nmThe modulus and the phase of (a) are respectively the compensation quantity of the amplitude and the compensation quantity of the phase; α, b are signal amplitudes;nm
Figure BDA0002696364950000042
is a unit level independent amplitude-phase error.
Further, the radio frequency channel reception calibration includes: controlling a radar transmitter to transmit single carrier frequency signals of corresponding frequency points through an internal monitoring network through a display control terminal; looping the single carrier frequency signal to a receiving channel through a circulator and an internal monitoring network to obtain an echo signal of the corresponding channel, and calculating an amplitude compensation quantity and a phase compensation quantity corresponding to the echo signal; the amplitude compensation amount and the phase compensation amount of the reception calibration are completed in the DBF.
Wherein the calculating the amplitude compensation amount and the phase compensation amount corresponding to the echo signal comprises: obtaining a calibrated CW reference branch signal ynm(t); with the CW reference channel as a reference, obtaining a signal y after CAL signals of all T/R component branches eliminate coupling ratios and weighting coefficientscw(t); are respectively paired with ynm(t),ycw(t) performing a multi-point FFT to obtain ynm(1) And ycw(1) (ii) a According to the ynm(1) And ycw(1) Calculating a compensation coefficient
Figure BDA0002696364950000051
In the formula (f)nmThe modulus and the phase of (a) are respectively the compensation quantity of the amplitude and the compensation quantity of the phase; α, b are signal amplitudes;nm
Figure BDA0002696364950000052
is a unit level independent amplitude-phase error.
The step of comparing each path of signals to be calibrated in the circular array antenna by using the set calibration reference signal, and determining the corresponding amplitude-phase data of each path of signals comprises: obtaining a calibration signal x for calibrating coupling line couplingnm(t); using the calibrated coupled signal as a calibrated reference signal Xref(t); comparing the channel signal with the reference signal to give a calibration output result Pout=Xnm/Xref
The technical solution of the present application will be described below with specific examples
1. Echo signal model
And comparing each path of signals to be calibrated by using a given calibration reference signal, giving corresponding amplitude and phase data, and realizing the calibration of the channel through multiple iterations. Corresponding to the T/R component with the (m, n) th number, the calibration signals coupled by the calibration coupling lines are as follows:
Figure BDA0002696364950000053
wherein, in the formula: α is the signal amplitude;nm
Figure BDA0002696364950000054
is a unit level independent amplitude-phase error; w is anmAnd phinmIs a magnitude-phase weighting coefficient; cnmTo calibrate the coupling ratio; u. ofs,vsThe amount of phase stepping between elements, achieved by the phase shifters, when scanning for antenna azimuth and elevation beams, is 0 when the beams point to the normal.
Figure BDA0002696364950000055
Figure BDA0002696364950000056
In the formula: Ψs
Figure BDA0002696364950000057
Pitch angle and azimuth angle when the beam points to the plane relative to the normal line respectively; dx, dy is the spacing between adjacent cells in the vertical and horizontal directions; w is adIs the Doppler frequency offset; Ψ0Is the random initial phase of the signal.
The calibrated reference signal is selected from the calibrated coupled signals and is represented as
Figure BDA0002696364950000058
Comparing the channel signal with the reference signal to give a calibration output result
Pout=Xnm/Xref
And comparing the result with target amplitude-phase data, and enabling the test data to trend to the target result through a plurality of iterations, wherein the variance meets the index requirement.
2. Calibration algorithm
2.1 calibration procedure
The digital array antenna is a circular array comprising 24 antenna elements which are distributed at equal intervals. The radio frequency channel comprises a digital T/R component receiving and transmitting related passage, a radio frequency joint, a radio frequency cable, an antenna array and the like, the digital array is based on independent receiving and transmitting of each array, space synthesis is carried out on transmitting signals, and digital synthesis is carried out on receiving signals through a digital beam forming functional block. Based on the above, the phase consistency of the rf channel has a great influence on the system performance, and therefore, the phase calibration of the rf channel is required. The rf channel transmit/receive calibration diagrams are shown in fig. 0 and 0 below.
The 24 antenna arrays of the digital array antenna array are uniformly distributed on the circle, and the receiving amplitude of the radio frequency channel is in a reasonable interval by controlling the amplitude of a transmitting signal during the transmitting calibration of the radio frequency channel.
The method comprises the following steps of receiving and transmitting amplitude and phase calibration of a radio frequency channel:
1) the T/R channel 1 and the antenna array 1 are used for transmitting, the T/R channel 2 and the antenna array 2 as well as the T/R channel 24 and the antenna array 24 are used for receiving simultaneously to obtain receiving phase values phi R2 and phi R24 and amplitude values Fr2 and Fr24, and the difference value between the receiving phase values phi R2 and phi R24 is the receiving phase difference between the radio frequency channels 2 and 24 due to the sharing of transmission;
2) the T/R channel 3 and the antenna array 3 transmit, the T/R channel 2 and the antenna array 2 receive and the T/R channel 4 and the antenna array 4 simultaneously receive, so that received phase values phi R2 and phi R4 and amplitude values Fr2 and Fr4 are obtained, and a receiving phase difference and an amplitude ratio between the radio frequency channels 2 and 4 are also obtained;
3) through the process, when the radio frequency channels 1 and 3 transmit, the radio frequency channel 2 receives the common signal, and the transmitting phase difference and the amplitude ratio between the radio frequency channels 1 and 3 can be obtained;
4) by analogy, receiving phase differences and amplitude ratios between every two radio frequency channels with even serial numbers and transmitting phase differences and amplitude ratios between every two radio frequency channels with odd serial numbers are obtained, and the receiving phase differences and the amplitude ratios of all the radio frequency channels with even serial numbers and the transmitting phase differences and the amplitude ratios of all the radio frequency channels with odd serial numbers are obtained by using a certain radio frequency channel as a reference normalization treatment;
5) the process is changed into the process of transmitting by radio frequency channels with even serial numbers, receiving by adjacent radio frequency channels with odd serial numbers, and obtaining the receiving phase difference and amplitude ratio of all radio frequency channels with odd serial numbers and the transmitting phase difference and amplitude ratio of all radio frequency channels with even serial numbers;
6) and finally, through the transmission of the radio frequency channel 1 and the simultaneous reception of the radio frequency channel 3, the transmission, reception phase and amplitude of the radio frequency channels with even and odd serial numbers can be normalized to obtain the transmission and reception phase difference and amplitude ratio of all the radio frequency channels (the coupling phase rule of adjacent antenna arrays such as the transmission of 1 and the reception of 2 and alternate antenna arrays such as the transmission of 1 and the reception of 3 can be obtained through darkroom measurement), the process is the radio frequency channel calibration process of 1 frequency point, and the process is repeated after the frequency is set.
The procedure for receiving calibration is similar to that described above.
2.2 calibration Algorithm
According to the calibration procedure, the calibration algorithm is performed as follows:
the calibrated CW reference branch signal is
Figure BDA0002696364950000071
In the formula, b is the signal amplitude, and other parameters are the same as above.
With the CW reference channel as a reference, obtaining the CAL signals of all T/R component branches after eliminating the coupling ratio and the weighting coefficient
Figure BDA0002696364950000072
For ynm(t),ycw(t) performing a multi-point FFT to obtain
Figure BDA0002696364950000073
ycw(1)=bexpj(Ψ0)
The compensation factor is calculated as follows:
Figure BDA0002696364950000074
in the formula: f. ofnmThe modulus and phase of (a) are the compensation of the amplitude and the compensation of the phase, respectively, wherein the exact values of a, b will affect the absolute correction, but not the side lobe level of the front antenna. Because of the strong coupling between the attenuator and the phase shifter, the amplitude is calibrated first and then the phase is calibrated. The calibration may be performed 3-4 times until the latest amplitude-phase mean square error meets the requirement.
2.3 calibrating fault tolerant design
Because the calibration process is implemented by using a radio frequency channel iterative processing method, the calibration is greatly affected when the radio frequency channel fails, measures need to be taken for abnormal conditions, and the measures that can be taken are as follows:
1) for the condition that a certain path of the radio frequency channel has a fault, the serial number of the radio frequency channel with the problem can be basically judged through the self-checking and calibration processes (the receiving amplitude of the radio frequency channel is in a reasonable range during calibration), and the radio frequency channel with the problem can be isolated during calibration without participating in the calibration process because the digital array antenna array is a circular array;
2) on a calibration interface of a monitoring maintenance unit, whether a component of the system has an option of replacement or disordered installation is set, and if the component of the system does not have the option, the difference between the current calibration value and the calibration value in the system stored last time is judged reasonably (the phase change should not exceed a certain range);
3) the calibration process adopts multiple calibrations of different phases and different amplitude references to judge consistency (for example, the phase change of the same radio frequency channel is within 10 degrees), and reduces errors by averaging.
2.4, carrying out the step
The steps executed during the emission calibration are as follows:
1) controlling a radar transmitter to transmit single carrier frequency signals of corresponding frequency points through a transmitting channel by a display control terminal;
2) the signal is looped back to the receiving channel through the circulator and the internal monitoring network to obtain an echo signal of the corresponding channel;
3) calculating the compensation quantity of corresponding amplitude and the compensation quantity of corresponding phase according to the calibration process provided by the method;
4) the amplitude compensation quantity of the emission calibration is compensated in the generation of radar emission waveforms, and the phase compensation quantity is completed in a wave control system.
The receiving calibration is executed by the following steps:
1) controlling a radar transmitter to transmit single carrier frequency signals of corresponding frequency points through an internal monitoring network through a display control terminal;
2) the signal is looped back to the receiving channel through the circulator and the internal monitoring network to obtain an echo signal of the corresponding channel;
3) calculating the compensation quantity of corresponding amplitude and the compensation quantity of corresponding phase according to the calibration process provided by the method;
4) the amplitude compensation amount and the phase compensation amount of the reception calibration are completed in the DBF.
According to the scheme provided by the embodiment of the invention, an amplitude and phase error calibration algorithm is provided, and the problem of sample point alignment in a time domain is solved.
Although the present invention has been described in detail hereinabove, the present invention is not limited thereto, and various modifications can be made by those skilled in the art in light of the principle of the present invention. Thus, modifications made in accordance with the principles of the present invention should be understood to fall within the scope of the present invention.

Claims (7)

1. A real-time calibration method for a circular array antenna is characterized by comprising the following steps:
comparing each path of signals to be calibrated in the circular array antenna by using the set calibration reference signals, and determining corresponding amplitude-phase data of each path of signals;
performing multiple iterative processing on the amplitude-phase data corresponding to each path of signal to obtain radio frequency channel calibration data of the circular array antenna;
and carrying out phase calibration on the radio frequency channel calibration data of the circular array antenna to realize real-time calibration of the circular array antenna.
2. The method of claim 1, wherein the phase calibrating the channel calibration data of the circular array antenna comprises a radio frequency channel transmit calibration and a radio frequency channel receive calibration.
3. The method of claim 2, wherein the radio frequency channel transmit calibration comprises:
the radar transmitter controls a transmitting channel thereof to transmit a single carrier frequency signal of a corresponding frequency point according to a control instruction issued by the display control terminal;
looping the single carrier frequency signal to a receiving channel through a circulator and an internal monitoring network to obtain an echo signal of the corresponding channel, and calculating an amplitude compensation quantity and a phase compensation quantity corresponding to the echo signal;
the amplitude compensation quantity of the emission calibration is compensated in the generation of radar emission waveforms, and the phase compensation quantity is completed in a wave control system.
4. The method of claim 3, wherein the calculating the amplitude compensation amount and the phase compensation amount corresponding to the echo signal comprises:
obtaining a calibrated CW reference branch signal ynm(t);
With the CW reference channel as a reference, obtaining a signal y after CAL signals of all T/R component branches eliminate coupling ratios and weighting coefficientscw(t);
Are respectively paired with ynm(t),ycw(t) performing a multi-point FFT to obtain ynm(1) And ycw(1);
According to the ynm(1) And ycw(1) Calculating a compensation coefficient
Figure FDA0002696364940000011
In the formula (f)nmThe modulus and the phase of (a) are respectively the compensation quantity of the amplitude and the compensation quantity of the phase; α, b are signal amplitudes;nm
Figure FDA0002696364940000021
is a unit level independent amplitude-phase error.
5. The method of claim 2, wherein the radio frequency channel receive calibration comprises:
controlling a radar transmitter to transmit single carrier frequency signals of corresponding frequency points through an internal monitoring network through a display control terminal;
looping the single carrier frequency signal to a receiving channel through a circulator and an internal monitoring network to obtain an echo signal of the corresponding channel, and calculating an amplitude compensation quantity and a phase compensation quantity corresponding to the echo signal;
the amplitude compensation amount and the phase compensation amount of the reception calibration are completed in the DBF.
6. The method of claim 4, wherein the calculating the amplitude compensation amount and the phase compensation amount corresponding to the echo signal comprises:
obtaining a calibrated CW reference branch signal ynm(t);
With the CW reference channel as a reference, obtaining a signal y after CAL signals of all T/R component branches eliminate coupling ratios and weighting coefficientscw(t);
Are respectively paired with ynm(t),ycw(t) performing a multi-point FFT to obtain ynm(1) And ycw(1);
According to the ynm(1) And ycw(1) Calculating a compensation coefficient
Figure FDA0002696364940000022
In the formula (f)nmThe modulus and the phase of (a) are respectively the compensation quantity of the amplitude and the compensation quantity of the phase; α, b being signal amplitude;nm
Figure FDA0002696364940000023
Is a unit level independent amplitude-phase error.
7. The method according to claim 1, wherein the comparing each path of signal to be calibrated in the circular array antenna with the set calibration reference signal, and the determining the corresponding amplitude-phase data of each path of signal comprises:
obtaining a calibration signal x for calibrating coupling line couplingnm(t);
Using the calibrated coupled signal as a calibrated reference signal Xref(t);
Comparing the channel signal with the reference signal to give a calibration output result Pout=Xnm/Xref
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