CN109031358A - Navigate anti-interference method when a kind of null broadening sky based on dual-polarized antenna array - Google Patents

Navigate anti-interference method when a kind of null broadening sky based on dual-polarized antenna array Download PDF

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CN109031358A
CN109031358A CN201811186658.0A CN201811186658A CN109031358A CN 109031358 A CN109031358 A CN 109031358A CN 201811186658 A CN201811186658 A CN 201811186658A CN 109031358 A CN109031358 A CN 109031358A
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interference
signal
matrix
null
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夏威
夏国庆
谢明
孙美秋
魏圣杰
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University of Electronic Science and Technology of China
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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
    • G01S19/00Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
    • G01S19/01Satellite radio beacon positioning systems transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
    • G01S19/13Receivers
    • G01S19/21Interference related issues ; Issues related to cross-correlation, spoofing or other methods of denial of service

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

The invention belongs to the global navigation satellite communications fields, there is provided a kind of null broadening based on dual-polarized antenna array it is empty when navigate anti-interference method, it is intended to solve the problems, such as to interfere under high dynamic situation in real time come to or polarization information and polarization airspace null corresponding position mismatch and lead to interference free performance degradation;The present invention using polarization Space-time domain combine be tapered matrix to receive signal autocorrelation matrix carry out being tapered processing, it obtains after the autocorrelation matrix being tapered, weight vector is acquired using power inversion method to it, the array received signal with disturbance is filtered to obtain the output signal of AF panel with the weight vector.Compared to polarization airspace null method for widening, the present invention can inhibit the wideband interferer signal with null mismatch;Compared to scalar matrix null method for widening, it is higher that the present invention has the advantages that be able to suppress interference identical with GNSS signal arrival bearing, freedom degree;The method of the present invention can inhibit the interference signal of other disturbances in addition to being uniformly distributed disturbance.

Description

Navigate anti-interference method when a kind of null broadening sky based on dual-polarized antenna array
Technical field
The invention belongs to the global navigation satellite communications field, relate generally to interfere arrival direction or polarization under high dynamic situation The AF panel of information mismatch, specially a kind of null based on dual-polarized array are navigated anti-interference method when broadening empty.
Background technique
With the hair at full speed of Global Navigation Satellite System (Global Navigation Satellite System, GNSS) Exhibition, steady navigation anti-interference method become the focus on research direction under high dynamic environment.Usual navigation satellite is both designed to Transmission power only has the weak signal satellite of several milliwatts, this is effectively for reducing satellite cost and prolonging the service life;But Since satellite-signal is weak, so being highly susceptible to interfere.Other than the interference of malice, some higher CTVs of frequency Platform, aeronautical satellite communication and maneuvering satellite system terminal may all weaken navigation satellite signal, and nature occurred one A little phenomenons can also cause signal interference.
Once satellite-signal is disturbed may to interrupt its use, increase position error even cannot achieve navigation completely Function.Currently, social life is increasing to the dependence of airmanship, the requirement of navigation neceiver interference free performance is also increasingly It is high.When intended receivers are relative to interference quickly movement, interference to being transient change relative to intended receivers, is led The angle for causing real-time interference radiating way to form null with conventional anti-interference method is mismatched and can not be curbed, and is in turn resulted in anti-dry It disturbs the performance decline of method or even completely loses.Therefore, it studies under high dynamic environment, steady navigation anti-interference method has ten Divide important meaning.
Document " Covariance matrix augmentation to produce adaptive array pattern Troughs " a kind of null method for widening based on artificial interferers source is proposed, but this method will increase noise in the association of reconstruct The gain of variance matrix.Document " Production of adaptive array troughs by dispersion Synthesis " a kind of null method for widening based on virtual bandwidth is proposed, though this method does not introduce noise gain, Null when only discussing under scalar matrix based on sky broadens anti-interference method.Document " Polarization-spacetime joint domain processing for clutter suppressio n in subspace leakage Environments " a kind of anti-interference method based on joint polarization when empty is taught, but the heuristic is not necessarily fitted For the anti-interference of GNSS signal.When document " the high dynamic GPS anti-interference method research based on CMT " proposes one kind based on sky Null broaden anti-interference method, but this method is only applicable to the jamproof null method for widening of scalar matrix, can not be for dry It disturbs polarization information to be inhibited, and inhibits broadband interference and narrowband amount of interference limited under small array situation.Number of patent application For 201810512962.3, entitled " a kind of high-dynamic GNSS that dual-polarized antenna array broadens technology based on null is dry Disturb suppressing method " propose that a kind of null in airspace of polarizing broadens anti-interference method, the specific method is as follows:
Consideration polarization sensitive linear array array number is M, and time tap number is K, then the reception of L GNSS and Q interference Signal x (n) can be expressed as when polarizing field-sky
Wherein,Azimuth, polarization phase angle and the polarization phases for respectively indicating first of GNSS signal are poor,Indicate the complex envelope of GNSS signal;asAnd apRespectively airspace steering vector, polarizing field steering vector, are expressed as follows
Wherein, TsIt is sampling period, ()TIndicate vector transposition,Indicate Kronecker product;θqqqIndicate the Q azimuth, polarization phase angle and the polarization phases interfered are poor, jq(n) indicate that the complex envelope of q-th of interference, power are Indicate white complex gaussian noise, its mean power is
Assuming that q-th of disturber's parallactic angle angle, θqAround actual angleObedience is uniformly distributed, i.e., Wherein, Δ θ is perturbation amplitude;Similarly, consider q-th of interference polarization phase angle γqWith polarization phases difference ηqPractical pole is surrounded respectively Change angleWithObedience is uniformly distributed, namelyWith Wherein, Δ γ and Δ η is perturbation amplitude;The covariance matrix then estimated can be expressed as
TsIt is the matrix that is tapered in airspace, calculation expression is
TpIt is tapered matrix for polarizing field, calculation formula is as follows
Minimum stream power is recycled to solve optimal weight vector:
Wherein,Optimum right vector can be solved by method of Lagrange multipliers are as follows:
It is filtered finally, receiving signal to the space-time array that polarizes under high dynamic according to the optimum right vector of solution It obtains interfering repressed navigation signal.
In the above method, by covariance matrixExpression formula i.e. can be seen that, only consider polarization airspace, broadband can not be directed to Interference signal is inhibited, and wideband interferer signal can largely cover the frequency band of navigation signal, is caused navigational It can severe exacerbation.
Summary of the invention
The null that the purpose of the present invention is to provide a kind of based on dual-polarized antenna array is navigated anti-interference side when broadening empty Method, it is intended to solve under high dynamic situation interfere in real time come to or polarization information and polarization airspace null corresponding position mismatch and lead The problem of causing interference free performance degradation.
To achieve the above object, The technical solution adopted by the invention is as follows:
A kind of null based on dual-polarized antenna array is navigated anti-interference method when broadening empty, which is characterized in that including with Lower step:
The autocorrelation matrix of step 1. computing array reception signal
Polarization sensitive linear array array number is set as M, time tap number is K, then includes that L GNSS signal and Q are dry The polarization Space-time domain for disturbing signal, which receives signal x (n), to be indicated are as follows:
Wherein,Azimuth, polarization phase angle, the polarization phases for respectively indicating first of GNSS signal are poor,Indicate the complex envelope of first of GNSS signal;θq、γq、ηqRespectively indicate the azimuth, polarization phase of q-th of interference signal Angle, polarization phases are poor, jq(n) complex envelope, the power of q-th of interference signal of expression are Indicate multiple Gauss white noise Sound, mean power are Indicate the centre frequency of first of GNSS signal, fqIndicate the centre frequency of q-th of interference signal; asAnd apRespectively airspace steering vector, polarizing field steering vector;atFor time domain steering vector, it is expressed as follows:
TsFor the sampling period;
And then calculate autocorrelation matrix are as follows:
Wherein, N indicates number of snapshots;
Step 2. calculates polarization Space-time domain and passes through the autocorrelation matrix being tapered:
Wherein, TtpsMatrix is tapered for polarization Space-time domain:
Wherein, TtMatrix is tapered for time domain: Tt=[1]K×K、[1]K×KIndicate that K × K ties up all 1's matrix;TsFor being tapered for airspace Matrix, TpMatrix is tapered for polarizing field;
Step 3. is according to autocorrelation matrixOptimal weight vector is solved to obtain using power inversion method
Step 4. is filtered the array received signal with disturbance using the optimal weight vector acquired, obtains interference suppression Output signal after system are as follows:
The beneficial effects of the present invention are:
Anti-interference method when null proposed by the present invention based on dual-polarized antenna array broadens empty, has the advantages that
1. the anti-interference processing system of the method for the present invention first is as shown in Fig. 2, anti-with traditional polarization sensitive array airspace Anti-interference structure is all different when interference and scalar array sky, and the method for the present invention has higher freedom degree;
2. when general polarization sensitive array sky compared with disturbance restraining method, when occurring null mismatch under high dynamic condition When, the method for the present invention still can effectively inhibit to interfere, and method proposed by the present invention can independently broaden dry according to actual needs Disturb the null of azimuthal null or interference polarization mode;
3. method proposed by the present invention has higher compared with polarization sensitive array airspace null broadens anti-interference method Freedom degree can inhibit more narrowbands to interfere, and can more inhibit broadband interference;
4. anti-interference method when method proposed by the present invention broadens empty compared to scalar array null has higher freedom Degree, can inhibit more broadband interferences;And it is consistent with navigation signal arrival bearing when existing, when the identical interference of bandwidth, Anti-interference method can curb together navigation signal and interference signal when the broadening of scalar array null is empty, and the present invention is anti-interference Method can inhibit interference signal and retain navigation signal, this is that navigation information technology is quickly sent out according to the difference of polarization information The inevitable requirement of exhibition;
5. the azimuth mismatch that the size and simulation result of the preset theoretical null broadening parameter, Δ θ of the present invention are shown Effectively range is inhibited correctly to match, illustrates that the method for the present invention broadens jamproof validity using null, such as Fig. 6 (a), Fig. 8 (a) It is shown;
6. the method for the present invention has good robustness, specific manifestation are as follows: be able to suppress disturbing at random with various distributions Dynamic interference signal;Even if the method for the present invention is anti-when the standard deviation of random perturbation, which is greater than the scheduled null of method, broadens parameter Jamming performance is substantially unaffected;The input of interference suppressioning effect and interference signal is dry to make an uproar than unrelated, as shown in Figure 9.
Detailed description of the invention
Fig. 1 is the functional block diagram of the method for the present invention;
Fig. 2 is polarization Space-time domain anti-interference processing system model;
Fig. 3,4,5 are the method for the present invention wave beam null broadening effect airspace comparison diagram, polarizing field comparison diagram and frequency domain pair Than figure;
The respectively azimuth of Fig. 6,7,8 individually broadens, and broadening is joined when polarization phases difference individually broadens and the two broadens simultaneously Influence of the size of number Δ θ and Δ η to output SINR;
Fig. 9 is that environmental perturbation meets is uniformly distributed respectively, when normal distribution and laplacian distribution, disturbance standard deviation to The influence of invention anti-interference method output SINR.
Specific embodiment
The present invention is described in further details with reference to the accompanying drawings and examples.
The present invention provide a kind of null broadening based on dual-polarized antenna array it is empty when navigate anti-interference method, process is such as Shown in Fig. 1, specifically includes the following steps:
The autocorrelation matrix of step 1. computing array reception signal
Polarization sensitive linear array array number is set as M, time tap number is K, then includes that L GNSS signal and Q are dry The polarization Space-time domain for disturbing signal, which receives signal x (n), to be indicated are as follows:
Wherein,Azimuth, polarization phase angle, the polarization phases for respectively indicating first of GNSS signal are poor,Indicate the complex envelope of first of GNSS signal;θq、γq、ηqRespectively indicate the azimuth, polarization phase of q-th of interference signal Angle, polarization phases are poor, jq(n) complex envelope, the power of q-th of interference signal of expression are Indicate multiple Gauss white noise Sound, mean power are Indicate the centre frequency of first of GNSS signal, fqIndicate the centre frequency of q-th of interference signal; asAnd apRespectively airspace steering vector, polarizing field steering vector, atFor time domain steering vector, it is expressed as follows:
Wherein, TsIt is sampling period, ()TIndicate vector transposition,Indicate Kronecker product;
Assuming thatAnd jq(n) it is that width is steady and mutually independent, considers pressing type interference, i.e. each interference signal PowerMuch larger than GNSS signal power, the autocorrelation matrix that dual-polarized antenna array receives signal at this time is mainly believed by interference The autocorrelation matrix composition of number plus noise;
Theoretically array received signal autocorrelation matrix can indicate are as follows:
Wherein, ()HRepresent conjugate transposition operation;In practical applications, which usually samples association side by it Poor matrix replaces, i.e.,
Wherein, N indicates number of snapshots;Indicate that dimension is the complex matrix of 2KM × 2KM;
Step 2. calculates polarization Space-time domain and passes through the autocorrelation matrix being tapered
Since under high dynamic environment, there is disturbance in interference, it is assumed that q-th of interference signal azimuth angle thetaqAround actual angleObedience is uniformly distributed, i.e.,Wherein, Δ θ is azimuth perturbation amplitude;Similarly, consider Q-th of interference signal polarization phase angle γqWith polarization phases difference ηqPractical polarisation angles are surrounded respectivelyWithIt obeys and uniformly divides Cloth, i.e.,WithWherein, Δ γ, Δ η are respectively to polarize Phase angle, polarization phases difference perturbation amplitude;
Null width is preset according to the priori knowledge (relative velocity of jammer and receiver) of interference environment, i.e., just Parallactic angle perturbation amplitude Δ θ and polarization phases difference amplitude, ao η, by the available null width that meets of a series of mathematical derivation The estimation of the autocorrelation matrix of array received signal, expression formula are as follows:
Wherein, TtpsMatrix is tapered for polarization Space-time domain:
Wherein, TtMatrix is tapered for time domain: Tt=[1]K×K、[1]K×KIndicate that K × K ties up all 1's matrix;TsFor being tapered for airspace Matrix, calculation expression are as follows:
TpIt is tapered matrix for polarizing field, calculation expression is as follows:
Step 3. is according to autocorrelation matrixOptimal weight vector is solved using power inversion method:
Wherein,
Optimum right vector is solved by method of Lagrange multipliers are as follows:
Step 4. is filtered the array received signal with disturbance using the optimal weight vector acquired, as shown in Fig. 2, Summation is weighted to the array received signal with disturbance, obtains output signal after AF panel are as follows:
Power falls when the polarization sensitive array sky broadened below by simulation comparison method proposed by the present invention and non-null Method is set, illustrates feasibility of the invention, superiority:
Emulation experiment
Emulation 1: 6200,8 array element of snap, 5 taps, carrier frequency 1268.52MHz, bandwidth BW=20MHz, sample rate fs=62MHz, signal-to-noise ratio SNRdB=-25dB, half-wavelength are structured the formation, receiver IF frequency fre_cen=15.48MHz, and 2 Linear frequency modulation broadband interference, incident direction are respectivelyWithDegree, polarization phase angle is γ(i)=40 °, polarization Phase difference is η(i)=50 °, centre frequency and bandwidth are respectively jam_fre(i)=[15MHz, 16MHz], jam_BW(i)= [3MHz, 2MHz], it is dry to make an uproar than being INRdB(i)=50dB, azimuth disturbance Δ θ=1 °, polarization phases difference disturbance Δ η= 0.6 °, experimental result such as Fig. 3, shown in 4,5.
Fig. 3 shows that null broadening anti-interference method proposed by the present invention has good airspace broadening effect, and null is deep Degree is also slightly reduced compared with traditional PI anti-interference method, therefore incident direction can be inhibited to have the interference of disturbance;Fig. 4 shows polarization The broadening of phase difference illustrates this method also and the null broadening of polarizing field may be implemented, and there are polarization information slight perturbations for inhibition Interference;And Fig. 5 shows the inhibitory effect of frequency domain, and null is formed at corresponding frequencies and bandwidth, i.e., when incident angle and polarization letter When ceasing identical as desired signal, it can effectively inhibit the interference in this frequency band by frequency domain interference rejection ability.
Emulation 2: 6200,8 array element of snap, 5 taps, carrier frequency 1268.52MHz, bandwidth BW=20MHz, sample rate fs=62MHz, signal-to-noise ratio SNRdB=-25dB, half-wavelength are structured the formation, receiver IF frequency fre_cen=15.48MHz, and 1 Linear frequency modulation broadband interference, incident direction are respectivelyPolarization phase angle is γ(i)=40 °, polarization phases difference is η(i)= 50 °, centre frequency and bandwidth are respectively jam_fre(i)=15MHz, jam_BW(i)=3MHz, it is dry to make an uproar than for INRdB(i)= 70dB, azimuth disturbance Δ θ=0.2 °, 0.4 °, 0.6 °, 0.8 °, polarization phases difference disturbance Δ η=0.2 °, 0.4 °, 0.6 °, 0.8 °, 100 independent experiments, simulation result such as Fig. 6, shown in 7,8.
Shown in Fig. 6 (a), when only existing azimuth broadening, to incident orientation angle, there are interference realizations when certain mismatch Inhibit well, and mismatched angles effectively inhibit range and broadening amplitude approximate quite, illustrate the correctness of null method for widening And validity, and when Fig. 6 (b) (c) then shows to only exist the broadening of azimuth null, to the interference of polarization information mismatch almost without Inhibiting effect illustrates that anti-interference method proposed by the present invention may be implemented azimuth and individually broaden, it is worth mentioning that, orientation Angle null broadens so that output SINR compares the loss that traditional anti-interference method has an entirety, and broadening amplitude is bigger, loss It is relatively bigger, due to broadening the general very little of angle under practical situation, so output SINR performance is smaller compared to traditional PI loss. Fig. 7 is observed, when only existing the broadening of polarization phases difference, the interference of azimuthal mismatch does not have inhibitory effect, and polarization is believed The interference suppressioning effect for ceasing mismatch is preferable, and method is extremely sensitive to polarization phases difference, even if only 0.2 ° of phase difference broadens, Very wide polarization phases mistake can also be inhibited to match, and the broadening of 0.4 ° of phase difference can then be suppressed over 2 ° of phase mistake Match, it can realize the independent broadening of polarization phases difference.Fig. 8 is observed, azimuth and phase difference broaden simultaneously, when only azimuth When mismatch, because the broadening of polarization phases difference does not influence to export SINR, method inhibitory effect and azimuth individually broaden timeliness Fruit is identical;And when only polarization information mismatch, azimuth broadening effect, which is embodied in, allows output SINR to be broadened greatly according to azimuth The small decaying for having an entirety, overall inhibitory effect and Fig. 7 are close at this time.
To sum up, azimuth and polarization phases difference both can be broadened individually or be broadened simultaneously, and azimuth individually broadens pair Polarization information mismatch does not have inhibitory effect, and polarization phases difference individually broadens azimuthal mismatch also without inhibitory effect, and The two can inhibit the interference at azimuth and polarization information mismatch simultaneously when broadening simultaneously.
Emulation 3: 6200,8 array element of snap, 5 taps, carrier frequency 1268.52MHz, bandwidth BW=20MHz, sample rate fs=62MHz, signal-to-noise ratio SNRdB=-25dB, half-wavelength are structured the formation, receiver IF frequency fre_cen=15.48MHz, and 1 Linear frequency modulation broadband interference, incident direction are respectivelyPolarization phase angle is γ(i)=40 °, polarization phases difference is η(i)= 50 °, centre frequency and bandwidth are respectively jam_fre(i)=15MHz, jam_BW(i)=3MHz, it is dry to make an uproar than being taken as respectivelyIt is Δ θ=1 ° that azimuth, which broadens size, and polarization phases difference disturbs Δ η=0 °, 2000 independent experiments, simulation result are as shown in Figure 9.
Shown in Fig. 9, in incident direction there are when environmental perturbation when INR is 50dB, continuous with disturbance standard deviation becomes larger, Traditional PI anti-interference method inhibitory effect reduces rapidly, and when environmental perturbation meets different distributions, the speed of performance decline It is variant, such as it is uniformly distributed > Gaussian Profile > laplacian distribution;The corresponding null of three kinds of different disturbances broadens inhibitory effect As shown in the figure, SINR gradually increasing with environmental perturbation amplitude is exported, or even when the broadening size of the null beyond method, is mentioned Null method for widening out still may be implemented good inhibitory effect, such as when equally distributed standard deviation is greater than 0.6, output SINR level is also held essentially constant, it is seen that the interference suppressioning effect of null broadening is very stable.
The above description is merely a specific embodiment, any feature disclosed in this specification, except non-specifically Narration, can be replaced by other alternative features that are equivalent or have similar purpose;Disclosed all features or all sides Method or in the process the step of, other than mutually exclusive feature and/or step, can be combined in any way.

Claims (1)

  1. The anti-interference method 1. a kind of null based on dual-polarized antenna array is navigated when broadening empty, which is characterized in that including following Step:
    The autocorrelation matrix of step 1. computing array reception signal
    Polarization sensitive linear array array number is set as M, time tap number is K, then includes L GNSS signal and Q interference letter Number polarization Space-time domain receive signal x (n) indicate are as follows:
    Wherein,Azimuth, polarization phase angle, the polarization phases for respectively indicating first of GNSS signal are poor, Indicate the complex envelope of first of GNSS signal;θq、γq、ηqRespectively indicate azimuth, the polarization phase angle, polarization of q-th of interference signal Phase difference, jq(n) indicate that the complex envelope of q-th of interference signal, v (n) indicate white complex gaussian noise;fl (d)Indicate first of GNSS letter Number centre frequency, fqIndicate the centre frequency of q-th of interference signal;asAnd apRespectively airspace steering vector, polarizing field guiding Vector;atFor time domain steering vector, it is expressed as follows:
    TsFor the sampling period;
    And then calculate autocorrelation matrix are as follows:
    Wherein, N indicates number of snapshots;
    Step 2. calculates polarization Space-time domain and passes through the autocorrelation matrix being tapered:
    Wherein, TtpsMatrix is tapered for polarization Space-time domain:
    Wherein, TtMatrix is tapered for time domain: Tt=[1]K×K、[1]K×KIndicate that K × K ties up all 1's matrix;TsIt is tapered matrix for airspace, TpMatrix is tapered for polarizing field;
    Step 3. is according to autocorrelation matrixOptimal weight vector is solved to obtain using power inversion method
    Step 4. is filtered the array received signal with disturbance using the optimal weight vector acquired, after obtaining AF panel Output signal are as follows:
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CN117452444A (en) * 2023-12-22 2024-01-26 西北工业大学 Interference suppression method for satellite navigation polarization diversity antenna

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