CN105785323B - The parallel separation method of vortex electromagnetic wave signal mode and device based on orthogonal space conversion - Google Patents

The parallel separation method of vortex electromagnetic wave signal mode and device based on orthogonal space conversion Download PDF

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CN105785323B
CN105785323B CN201610077471.1A CN201610077471A CN105785323B CN 105785323 B CN105785323 B CN 105785323B CN 201610077471 A CN201610077471 A CN 201610077471A CN 105785323 B CN105785323 B CN 105785323B
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electromagnetic wave
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vortex electromagnetic
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mode
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CN105785323A (en
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张海林
赵林军
程文驰
刘毅
梁芳
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Xidian University
Shaanxi University of Technology
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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
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0617Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal for beam forming
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/08Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
    • H04B7/0837Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station using pre-detection combining
    • H04B7/0842Weighted combining
    • H04B7/086Weighted combining using weights depending on external parameters, e.g. direction of arrival [DOA], predetermined weights or beamforming

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Variable-Direction Aerials And Aerial Arrays (AREA)

Abstract

The invention discloses the multi-modal parallel separation method of vortex electromagnetic wave signal mode converted based on orthogonal space, this method is:First, to each array element parallel output signal that receives of circular array structural antenna through wave beam tax is gone to handle, become the having omnidirectional and vortex electromagnetic wave parallel signal with multiple mode;Wave beam will be removed again treated signal in a parallel fashion as the input signal of orthogonal space converter;Orthogonal space converter does input signal on the azimuthal orthogonal space conversion (i.e. Fast Fourier Transform (FFT)) of vortex electromagnetic wave, obtains the discrete Spectral structure of mode of multi-modal vortex electromagnetic wave;Finally, the discrete spectral component of the mode of parallel output vortex electromagnetic wave, each output component corresponds to the mode and carries separate modulated signals, and goes mode, so as to fulfill separation and the identification parallel of the multi-modal vortex electromagnetic wave signal mode in space.Meanwhile the present invention discloses the multi-modal parallel separators of vortex electromagnetic wave signal mode converted based on orthogonal space.

Description

Based on orthogonal space conversion the parallel separation method of vortex electromagnetic wave signal mode with Device
Technical field
The present invention relates to a kind of multi-modal parallel separation methods of vortex electromagnetic wave signal mode and device to realize, belongs to communication Signal processing technology and Radar Signal Processing Technology field.
Background technology
Known by shannon capacity theorem:The channel capacity of wireless communication system is directly proportional to the bandwidth of system, therefore carries The transmission rate of high system is, it is necessary to occupy broader frequency band.The use of a large amount of wireless systems so that limited spectrum is extremely crowded, Frequency spectrum resource is increasingly deficient.To alleviate the contradiction that frequency spectrum resource is few and wireless traffic is big, Sweden scientist Bo Tide et al. are carried The design of information is gone out to transfer using the mode of vortex electromagnetic wave, and on June 24th, 2011, Bo Tide et al. were in Italy Venice demonstrates the experiment for being carried information using vortex electromagnetic wave and being propagated, and is opened up for the channel capacity promotion of wireless communication system New way.
It is theoretical from classical electrodynamics:The wavefront of vortex electromagnetic wave has helical phase structure, this is because being vortexed Electromagnetic wave carries orbital angular momentum (Orbital angular momentum, OAM), and plane electromagnetic wave does not have OAM, institute It is plane with wavefront.Pertinent literature is reported using the generations vortex electromagnetism such as spiral phase plate phase-shifting method or circular array antenna method The method of ripple, and the reception separation method report on vortex electromagnetic wave is less.
At present, interference technique can be used in vortex electromagnetic wave modal idenlification, and this method is by introducing a branch of reference wave with receiving Vortex ripple generates dry pattern after adding up, by itself and the modal idenlification of the pattern comparison realization vortex electromagnetic wave in picture library, practice It proves:Interferometry identification vortex electromagnetic wave mode flexibility is poor, and in order to improve the accuracy of modal idenlification, communicating pair is reduced Available mode so do not maximize the capacity for increasing channel, and actually uses, and will also be vortexed the available independence of electromagnetic wave Modulation dimension is lowered one's standard or status use, and modulation intelligence is not carried as the amplitude or phase of vortex electromagnetic wave.It is high, big in requirement of real-time The separation for completing multi-modal vortex electromagnetic wave in the wireless communication system of capacity using interference technique is clearly worthless.
Also there is method of the document report using phase gradient difference method detection vortex ripple mode, this method passes through in vortex ripple With fixed angle two reception antennas is set to sample vortex electromagnetic wave azimuth on the horizontal vertical plane of beam azimuth axis, then by sampling Value estimates the mode of vortex electromagnetic wave, in practice it has proved that:This method is easily disturbed, and precision is limited.Also there is document report The implementation received using reverse spiral phase plate method to modality-specific vortex electromagnetism, when communicating pair in same channel simultaneously When row transmits the vortex electromagnetic wave of multiple and different mode, the volume of communication system will become very huge, to mobile wireless system For system, the limitation of this method is obvious.
In conclusion when the amplitude of the vortex electromagnetic wave of different modalities each carries different information from phase, interference identification The methods of method or poor phase gradient, is difficult to realize the parallel separation and identification of the vortex electromagnetism of multi-modal mode.At present, there is not yet Method that is that document report realizes multi-modal vortex electromagnetic wave and separating and go mode, it is former that the present inventor's (group) is based on signal processing Reason the characteristics of reception from vortex electromagnetic wave space, and combines Fast Fourier Transform (FFT) theory progress, it is proposed that using space Orthogonal transformation method realizes the parallel separation method of multi-modal vortex electromagnetic wave, can effectively solve same carrier wave concurrent multimode state whirlpool With going mode, the application for vortex electromagnetic wave is provided intellectual support for the parallel separation of rotation electromagnetic wave.
The content of the invention
Present invention seek to address that the parallel separation of multi-modal (topological kernel) vortex electromagnetic wave makes vortex electric with removing Mode Problems The available modulation dimension of magnetic wave obtains maximizing application.
Further characteristic of the invention and aspect are described in following specific embodiment.
Description of the drawings
Fig. 1 is the parallel separation method principle schematic of multi-modal vortex electromagnetic wave mode based on orthogonal space conversion.Its Dashed box 3 in middle Fig. 1 relates to multi-modal parallel separation of the present invention and removes Modal Method.
Fig. 2 is the multi-modal parallel separator overall plan schematic block diagram of vortex electromagnetic wave mode of the present invention.
Fig. 3 is the process for using structural representation block diagram of the method for the invention.
1. uniform circular array array structure antenna in figure, 2. go beamformer, 3. orthogonal space converters, 4. wave beam formings power Vector estimator, 5. orthogonal space Transformation Weight calculators.
Specific embodiment
A kind of parallel separation method of vortex electromagnetic wave signal mode and device based on orthogonal space conversion, it is of the present invention Method is suitable for the separation method of the multi-modal vortex electromagnetic wave of same carrier, and principle is as shown in Figure 1.
As shown in Figure 1, in the parallel piece-rate system of vortex electromagnetic wave signal mode of orthogonal space conversion, uniform circular array row The different a period of time of structural antenna 1 are independent to the sampling of the multi-modal vortex electromagnetic wave in space, and response is multi-modal vortex electromagnetic wave not Composite signal on common-azimuth, and with specific directive gain;The different a period of time responses of circular array structural antenna 1, which are used as, removes ripple The parallel input signal of beam figuration device 2, the parallel input signal after the processing of beamformer 2 as orthogonal space converter 3, It is done again through orthogonal space converter 3 on the azimuthal Fast Fourier Transform (FFT) of vortex electromagnetic wave, obtains space vortex electromagnetic wave The discrete Spectral structure of mode, the discrete spectral component of mode of parallel output vortex electromagnetic wave, each output component corresponds to the mode and takes Band separate modulated signals, and the output component is the non-vortex signal for going mode, so as to fulfill the multi-modal vortex electromagnetism in space Separation and the identification parallel of ripple signal mode.
Meanwhile the multi-modal vortex electromagnetic wave mode converted the invention discloses orthogonal space is separated with mode is gone to fill parallel It puts, as shown in Fig. 2, response of the different a period of time { e of N array element uniform circular array array structure antennasi() | i=0,1 ..., N-1 } it is parallel Output estimates arrival bearing's vector as the input for going beamformer 2 and arrival bearing DOA estimators 4 by DOA estimators 4 {wi| i=0,1 ..., N-1 }, and be conjugated and copy to beamformer 2, beamformer 2 is gone to { ei() | i=0, 1 ..., N-1 } beam forming processing is gone to obtainAs orthogonal space The input of converter 3 does it Fast Fourier Transform (FFT), power used in Fast Fourier Transform (FFT) by orthogonal space converter 3 Vector is provided by orthogonal space Transformation Weight calculator 5.
The detailed implementation of the parallel separation method of vortex electromagnetic wave signal mode of an orthogonal transformation is described below.Half Footpath is r0N number of same sex antenna (or array element) is uniformly distributed on circumference (see " Generation of orbital angular Momentum (OAM) radio beams with phased patch array ", Qiang Bai, Alan Tennant, Ben Allen, Masood Ur Rehman, Antennas and Propagation Conference (LAPC), 2013 Loughborough, PP410-413 are published here by reference) the multi-modal vortex electromagnetic wave letter in the space that receives Number by formula (1),
Operation, wherein e in formula (1)i(z0, r0, ω) and represent N array element uniform circular array antenna difference array elements in different azimuth The space vortex electromagnetic wave signal that angle collects, wherein h () be channel coefficients, z0For reception antenna and transmission antenna alignment bars Radial distance of the receiving plane with sending face, r under part0For receive vertical range of the array element away from vortex Electromagnetic Wave Propagation axis, κ (κ= ω/c, c=3 × 108M/s) for wave number, l is the mode (or topological kernel) of vortex electromagnetic wave, Al(t) it is different modalities vortex electromagnetism The amplitude information that ripple carries, ω is carrier frequency,For the phase information that different modalities vortex electromagnetic wave carries, θi(i=0, 1 ..., N-1) it is bay attitude,It is accorded with for upper rounding operation,It is accorded with for lower rounding operation.
As shown in Fig. 2, to ei(z0, r0, ω) and (i=0,1 ..., N-1) go figuration to handle, it is used by circular array wave beam forming Weight vector inverse progress, by formula (2),
Operation, wherein wiFor i-th of vortex electromagnetic wave beam position weight coefficient (see " optimal array-processing techniques ", Harry L.VanTrees write, and Tang Jun etc. is translated, publishing house of Tsinghua University, in January, 2008, ISBN:9787302147602,220- Page 242, it is published here by reference),Represent wiInverse (or conjugation).
As shown in Fig. 2, orthogonal space converter is to N roads parallel input signalIt closes In the azimuth Fast Fourier Transform (i.e. orthogonal space convert) of vortex electromagnetic wave, by formula (3),
Operation, the discreteness of l so thatFor multi-modal vortex The discrete Spectral structure of mode of electromagnetic wave;
As shown in Fig. 2, parallel outputIt can simultaneously obtain not The separate modulated signals s carried with mode vortex ripplei(t) (i=0,1 ..., N-1), and si(t) mode, and s are removedi(t) it is pair Should mode vortex electromagnetic wave carry separate modulated signals.
For those skilled in the art, can various corresponding changes be made according to above technical solution and design And deformation, and all these change and deformation should be construed as being included within the protection domain of the claims in the present invention.

Claims (1)

1. vortex electromagnetic wave signal mode parallelism recognition and separation method based on orthogonal space conversion, which is characterized in that first, The multi-modal vortex electricity for the first parallel acquisition spatial of multiple receptions with same electromagnetic characteristic being uniformly distributed on circumference Secondly magnetic wave, goes figuration to handle by forming vectors is gone to carry out wave beam to all reception signals for receiving member, secondly, orthogonal space Converter removes wave beam figuration treated output signal to do the azimuth orthogonal space conversion on vortex electromagnetic wave, obtains sky Between propagate the mode discrete spectrum of vortex electromagnetic wave, finally, determine that corresponding mode vortex electromagnetic wave is taken by each component of the discrete spectrum The independent modulation intelligence of band,
The parallel separation method of vortex electromagnetic wave signal mode based on orthogonal space conversion includes the following steps:
(a) radius is r0The multimode of N number of first parallel acquisition spatial of the reception with same electromagnetic characteristic is uniformly distributed on circumference State vortex electromagnetic wave signal, can by formula (1),
It operates, in formula (1), ei(z0, r0, ω) and represent that No. i-th receives member in attitude θiThe spatial collected is vortexed Electromagnetic wave signal, h () be channel coefficients, z0For footpath of the receiving plane under reception antenna and transmission antenna aligned condition with sending face To distance, r0To receive vertical range of the array element away from vortex Electromagnetic Wave Propagation axis, κ is wave number, and l is the mode of vortex electromagnetic wave, Al (t) amplitude information carried for different modalities vortex electromagnetic wave, ω is carrier frequency,It is taken for different modalities vortex electromagnetic wave The phase information of band,It is accorded with for upper rounding operation,It is accorded with for lower rounding operation;
(b) to ei(z0, r0, ω) and figuration is gone to handle, by the inverse progress for the weight vector that circular array wave beam forming uses, by formula (2),
<mrow> <msub> <mover> <mi>e</mi> <mo>~</mo> </mover> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>z</mi> <mn>0</mn> </msub> <mo>,</mo> <msub> <mi>r</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>&amp;omega;</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>e</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>z</mi> <mn>0</mn> </msub> <mo>,</mo> <msub> <mi>r</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>&amp;omega;</mi> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <msubsup> <mi>w</mi> <mi>i</mi> <mo>*</mo> </msubsup> <mo>,</mo> <mi>i</mi> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow>
It operates, in formula (2),Represent the beam position weight coefficient of i-th of vortex electromagnetic wave;
(c) orthogonal space converter is to N roads parallel input signalDo on vortex electromagnetic wave azimuth space just Alternation changes, by formula (3),
<mrow> <mi>E</mi> <mrow> <mo>(</mo> <mi>l</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> </munderover> <msub> <mover> <mi>e</mi> <mo>~</mo> </mover> <mi>i</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>z</mi> <mn>0</mn> </msub> <mo>,</mo> <msub> <mi>r</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>&amp;omega;</mi> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <mi>j</mi> <mfrac> <mrow> <mn>2</mn> <mi>&amp;pi;</mi> </mrow> <mi>N</mi> </mfrac> <mo>&amp;CenterDot;</mo> <mi>i</mi> <mo>&amp;CenterDot;</mo> <mi>l</mi> </mrow> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
It operates, in formula (3),Therefore will E (l)) it is known as spatial The discrete Spectral structure of mode of multi-modal vortex electromagnetic wave;
(d) weight vector that orthogonal space converter uses With the coefficient in formula (1)It is natural It is orthogonal reciprocal, therefore be that vortex ripple signal goes the separate modulated signals after mode, by formula (4),
Operation, so as to fulfill multi-modal vortex electromagnetic wave signal modal idenlification with separating.
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