CN109669178A - A kind of spaceborne three array element pulse bidimensional direction-finding method - Google Patents
A kind of spaceborne three array element pulse bidimensional direction-finding method Download PDFInfo
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- CN109669178A CN109669178A CN201811587949.0A CN201811587949A CN109669178A CN 109669178 A CN109669178 A CN 109669178A CN 201811587949 A CN201811587949 A CN 201811587949A CN 109669178 A CN109669178 A CN 109669178A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO 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
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/88—Radar or analogous systems specially adapted for specific applications
- G01S13/886—Radar or analogous systems specially adapted for specific applications for alarm systems
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO 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
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/66—Radar-tracking systems; Analogous systems
- G01S13/68—Radar-tracking systems; Analogous systems for angle tracking only
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Abstract
The invention discloses a kind of spaceborne three array element pulse bidimensional direction-finding methods, steps are as follows: first according to minimal wave length, the limitation of measuring angle by comparing amplitude accuracy computation longest baseline for receiving signal, most short baseline length requirement is calculated according to desired angle measurement accuracy and the longest wavelength for receiving signal, compare longest, most short baseline requirement, determines baseline length;It is directed toward angle, amplitude-phase directional diagram according to antenna spacing, antenna beam, calculates the corresponding amplitude difference table of different directions incoming signal and phase meter;Then the amplitude difference that same signal is received using three array elements is related to the progress of amplitude difference table, obtains the bigness scale value of signal incident direction;The search range that signal incident direction is finally determined using the bigness scale result and direction finding precision of amplitude-comprised direction-finding obtains Superprecision Angle Measurement result using phase difference between triple channel and the related and interpolation processing of phase meter progress.The present invention reduces system channel number, reduces system equipment amount, effectively improve spaceborne warning system direction finding precision by reducing array number.
Description
Technical field
The invention belongs to electronic signals to scout field, and in particular to a kind of spaceborne three array element pulse bidimensional direction-finding method.
Background technique
In order to cope with the threat of antisatellite weapon, complex electromagnetic environment is adapted to, there is an urgent need to develop effective spaceborne broadband
Radar warning direction-finding system.Traditional radar warning system is widely used in airborne platform frequently with amplitude-comprised direction-finding technology.It passes
The amplitude-comprised direction-finding technology of system carries out direction finding using the amplitude comparison of two channel receiving signals, and this method is to reception signal
Signal-to-noise ratio is more sensitive, and angle measurement accuracy is about 1/10th of 3dB beam angle.For radar warning antenna element, due to
It is required that the range instantaneously covered is larger, 3dB beam angle is generally 90 °, and corresponding measuring angle by comparing amplitude precision is 10 ° or so,
Such angle measurement accuracy can satisfy the demand of aircraft alarm, but for Space-borne, since operating distance is remote super airborne flat
Platform, position error caused by identical angle error is larger, and therefore, spaceborne radar warning system is needed using a kind of higher survey
The angle-measuring method of angular accuracy.
The main direction finding technology of radar warning system is broadband direction finding principle, and currently used method can be divided into two kinds of systems,
Respectively than width system, than phase system.Mainly have based on digital multiple beam than the method for width system than width and traditional binary channels ratio
Width method.Wherein, digital multiple beam amplitude-comprised direction-finding method uses digital array antenna, and port number is more, and equipment amount is big.Compare phase
The method of system is mainly interferometer direction finding method, and angle measurement accuracy is higher, but due to improving ambiguity solution energy using more baselines
Power, antenna element number is more, and volume is big, and equipment amount is larger.Such as Lee Tung Hai et al. deliver " based on multi-baseline interference instrument and
Design and realization of the multi-beam than width joint DF antenna system ", up to more than ten of array number, equipment amount is big, is not suitable for
Spaceborne radar alarm.The a part of spaceborne radar warning system as payload distributes to thunder due to the particularity of platform
Up to the power of warning system, size, limited mass, so needing using equipment amount and the lesser direction-finding method of power consumption.To sum up,
Adapt to Space-borne direction-finding method remain as traditional binary channels amplitude-comprised direction-finding method, improve its angle measurement accuracy be at present urgently
Problem to be solved.
Summary of the invention
The purpose of the present invention is to provide a kind of spaceborne three array element pulse bidimensional direction-finding methods, solve conventional radar
The lower problem of warning system direction finding precision, comprehensive amplitude-comprised direction-finding and the advantages of than phase direction finding, using higher than phase direction finding precision
Feature makes up the low defect of amplitude-comprised direction-finding precision, improves system direction finding precision by Long baselines interference direction-finding.
The technical solution for realizing the aim of the invention is as follows: a kind of spaceborne three array element pulse bidimensional direction-finding method, including
Following steps:
Step 1: according to minimal wave length, the limitation of measuring angle by comparing amplitude accuracy computation longest baseline for receiving signal;According to work frequency
The angle measurement accuracy of Duan Yaoqiu and the longest wavelength for receiving signal calculate most short baseline length requirement;Compare longest, most short baseline is wanted
It asks, if the two contradicts, i.e., longest baseline is less than most short baseline, then, can not be using single base under this service band width conditions
Line needs modification bin width than amplitude ratio phase angle measurement, or uses biradical line, more baseline schemas;
Step 2: angle and amplitude pattern being directed toward according to antenna beam, calculate amplitude between signal different directions incident antenna
Difference obtains amplitude difference table;According to antenna spacing, beam position and phase pattern, signal different directions incident antenna phase is calculated
Potential difference obtains phase meter;
Step 3: receiving the amplitude difference of same signal using three array elements and amplitude difference table carries out relevant treatment, obtain signal
The bigness scale value of incident two-dimensional directional;
Step 4: the search range of signal incident direction is determined using the bigness scale result of amplitude-comprised direction-finding, amplitude-comprised direction-finding precision,
Relevant treatment and interpolation processing are carried out using three groups of phase differences between triple channel and phase meter, obtains final angle measurement result.
Compared with prior art, the present invention its remarkable advantage is:
(1) algorithm principle is simple, and calculation amount is small, is easy to Project Realization.
(2) number of channels is few, and system equipment amount is few.
(3) direction finding precision is high.
Detailed description of the invention
Fig. 1 is system design and signal processing flow figure of the invention.
Fig. 2 is amplitude-comprised direction-finding schematic diagram.
Fig. 3 is than phase direction finding schematic diagram.
Fig. 4 is than phase direction finding phase ambiguity schematic diagram.
Fig. 5 is ratio amplitude ratio phase direction finding schematic diagram of the invention.
Fig. 6 is that spaceborne radar alerts direction finding schematic diagram.
It is direction finding schematic diagram more two-dimentional than amplitude ratio phase that Fig. 7 sits down for cylinder.
Fig. 8 is beam position schematic diagram of the invention.
Fig. 9 is three wave beam diagrammatic cross-sections of the invention.
Figure 10 is two dimension of the invention than amplitude ratio phase phase ambiguity schematic diagram.
Figure 11 is used antenna radiation pattern amplitude gain figure of the invention, wherein (a) is 2GHz antenna direction map sheet
Gain diagram is spent, (b) is 4GHz antenna radiation pattern amplitude gain figure, (c) is 6GHz antenna radiation pattern amplitude gain figure.
Figure 12 is used antenna radiation pattern phase diagram of the invention, wherein (a) is 2GHz antenna radiation pattern phase
Figure (b) is 4GHz antenna radiation pattern phase diagram, (c) is 6GHz antenna radiation pattern phase diagram.
Figure 13 is inventive antenna directional diagram amplitude stacking chart.
Figure 14 is antenna radiation pattern Phase Stacking figure.
Figure 15 is antenna radiation pattern amplitude difference figure of the invention.
Figure 16 be antenna radiation pattern amplitude difference figure bidimensional sectional view of the invention, wherein (a) be inter-channel level differences with bow
Elevation angle corresponding relationship is (b) inter-channel level differences and azimuth corresponding relationship.
Figure 17 is antenna radiation pattern amplitude difference figure bidimensional section of the invention.
Figure 18 is inter-channel phase difference figure bidimensional sectional view of the invention, wherein (a) is inter-channel phase difference and pitch angle
Corresponding relationship is (b) phase difference between channels and azimuth corresponding relationship.
Figure 19 is that two dimension of the invention (b) is wherein (a) is azimuth dimension angle error figure than amplitude ratio phase angle measurement error figure
Angle error figure is tieed up in pitching.
Figure 20 is three frequency points of the invention than amplitude ratio phase angle error comparison diagram, wherein (a) is azimuth dimension angle error
Figure (b) ties up angle error figure for pitching.
Figure 21 is ratio amplitude ratio phase angle error of the invention with inter-channel level error change curve graph, wherein (a) is side
Position dimension angle error figure, (b) ties up angle error figure for pitching.
Figure 22 is ratio amplitude ratio phase angle error of the invention with inter-channel phase error change curve graph, wherein (a) is side
Position dimension angle error figure, (b) ties up angle error figure for pitching.
Specific embodiment
Present invention is further described in detail with reference to the accompanying drawing.
In conjunction with Fig. 1, the spaceborne three array element pulse bidimensional direction-finding method of one kind of the invention, comprising the following steps:
Step 1: according to the basic principle of amplitude-comprised direction-finding, by the minimal wave length of reception signal, measuring angle by comparing amplitude required precision,
Calculate the limitation of longest baseline;According to the longest wavelength of signal, the relationship of interference direction-finding precision and baseline length is received, calculate most
Short baseline length requirement.
In step 1, the specific steps are as follows:
The ratio between signal amplitude value that amplitude-comprised direction-finding is received using two antennas carries out angle measurement, and schematic diagram is as shown in Fig. 2, adopt
With two mutually partially overlapping antenna beams, under the influence condition for not considering antenna beam minor lobe, two antenna angles are
θa, signal is from deviateing the signal shafts φ such as two wave beamssAngle is incident, and for two antenna radiation patterns, signal enters from different angles
It penetrates, two-way receiving channel signal amplitude has differences, and the signal shafts such as signal incident angle deviation are remoter, two channel amplitude differences
It is bigger, therefore, it may determine that target deviation angle by comparing two paths of signals amplitude, realize the direction finding to echo signal.
Under conditions of one-dimensional direction finding, it is assumed that antenna radiation pattern function is F (θ), and channel amplitude response is Ac(t), incident
Signal amplitude As(t), signal incident angle φs, then two multi-channel output signal r1(t)、r2(t) it is respectively as follows:
Wherein: Ac1、Ac2The respectively amplitude response of first passage 1, second channel 2, θaFor two wave beam subtended angles.
The then Amplitude Ratio of two channel receiving signals are as follows:
For synchronization, indicated with decibel (dB), two channel amplitude ratio R12(t) are as follows:
Assuming that two receiving channel amplitude responses are identical, i.e. Ac1(t)=Ac2(t), then:
R12(t)=F (θa/2-φs)-F(θa/2+φs)(dB) (4)
Wherein, F (θ hereina/2-φs)、F(θa/2+φs) it is to take the decibel value after logarithm.Since F (θ) is in [- θa,θa]
There is monotonicity, so two channel ratios and signal incidence angle have one-to-one relationship in range.
Assuming that antenna radiation pattern is Gaussian function, i.e.,Assuming that its half-power beam width is θb, according to
Half-power beam width definition, i.e.,It can obtain:
It substitutes into (4), two obtained channel amplitude ratios are as follows:
It can be seen that two channel amplitude ratios and signal incidence angle correspond, only it is to be understood that two channel amplitude ratios, just
It would know that signal arrival bearing.
Amplitude-comprised direction-finding can be obtained according to formula (6):
To θ in formula (7)a、θb、R12It demands perfection differential, obtains:
In formula: Δ φsFor angle angle error;ΔθaFor two wave beam subtended angle errors;ΔθbFor antenna beam 3dB width mistake
Difference;ΔR12For channel amplitude ratio error.It can be seen that wave beam half-power beam width θbSmaller, i.e., wave beam is narrower, and angle measurement misses
Difference is smaller;Two wave beam subtended angle θaBigger, angle error is smaller;Two channels are more smaller than amplitude, i.e., signal incident direction closer to etc.
Signal shaft, angle error are smaller;θa、θb、R12Variation all have an impact to angle error.It is not examined than the derivation of width precision above
Consider the presence of antenna beam minor lobe, while antenna main beam narrows, antenna beam minor lobe is necessarily increased, if signal is from minor lobe
Into, signal incident direction and channel amplitude ratio at non-monotonic relationship, will affect amplitude-comprised direction-finding as a result, cause can not direction finding,
Therefore, antenna main beam width can not be infinitely small, and similarly, two wave beam subtended angles also can be excessive.So beam angle and wave beam
The variation at angle, cannot destroy the monotonicity of channel amplitude ratio and signal incident direction, and it is fuzzy otherwise to will lead to direction finding.
For fixed antenna battle array, same frequency signal, beam angle and beam position are all fixed, then angle error can
It is expressed as
Wherein: k=θb/θa, it is constant.θa、θb、R12In three error components, Δ θa、ΔθbBelong to static error, engineering
It can be corrected by the methods of calibration in realization;ΔR12For dynamic error, i.e. channel amplitude response changes with working environment, nothing
Method advance correction.From formula (9) last it can be seen that at equal signal shafts R12=0dB, beam angle and subtended angle comparison width are surveyed
Angle error influences minimum, in beam position direction, R12Maximum, beam angle and subtended angle influence angle error maximum;Channel width
Ratio error is spent to the influence degree of angle measurement error, is mainly determined by beam angle, wave beam is narrower, and angle error is to channel amplitude
The error suseptibility of ratio is smaller, and direction finding precision is higher.
Angle measurement is carried out using the phase difference between mutiple antennas institute receives echo-signal than phase direction finding, than phase direction finding principle
Figure is as shown in Figure 3.
Under the assumed condition of far field plane wave, since, there are spacing d, signal reaches two antenna times not between antenna
Together, it is by the phase difference that wave path-difference Δ R is generatedAs shown in Figure 3:
Wherein: λ is the wavelength of radiation source.If can measureIt then can determine signal arrival bearing φs。
For carrying out differential to formula (10), the expression formula of angle measurement error can be obtained than phase direction finding, are as follows:
In formula: Δ φsFor angle measurement error;For two phase difference between channels phase demodulation errors;Δ d is baseline length measurement
Error;Δ λ is the wavelength measurement error as caused by frequency measurement error.In tri- Δ d, Δ λ measurement errors, Δ d is static misses
Difference, in Project Realization can the measurement correction before equipment works,Δ λ is dynamic error, can not advance correction.
For angle measurement error Δ φ λ caused by wavelength measurement error, may be expressed as:
Assuming that frequency measurement error is Δ f, then:
Wherein: f0For the true carrier frequency of signal;C is the light velocity.So Δ φ λ can be further indicated that are as follows:
Since Δ f is relative to centre frequency f0It is smaller, can reach 1 percent hereinafter, and measurement φsRange is usual
It is limited within ± π/4, so corresponding angle error Δ φλIt is smaller, can ignore, so angle measurement error mainly by
Inter-channel phase difference phase demodulation error determines, it may be assumed that
In formula (15), λ, φsIt is determined by emitter Signals sign, d is than phase baseline length, by antenna arrangement sets, by formula
(15) as can be seen that d is bigger, it is the approach for obtaining high angle measurement accuracy that angle measurement accuracy is higher, and still, d is bigger, measuresMore
Greatly, whenWhen, phase ambiguity will be present in inter-channel phase aberration measurements, it is necessary to which first ambiguity solution could direction finding.
Than phase direction finding phase ambiguity schematic diagram as shown in figure 4, φ in figureaFor direction finding ambiguity period, only in φaWidth
In angular range, the inter-channel phase difference of measurementWith signal incidence angle φsIt corresponds, ambiguity is not present.By formula
(10) it is found that when d > λ/2, for phase difference between channels there are phase ambiguity, λ/2 is corresponding not to obscure ranges of incidence angles, the corresponding 180 ° of institutes of d
There is incidence angle possibility, then φaAre as follows:
If will be using measuring angle by comparing amplitude method solution than phase angle measurement phase ambiguity, amplitude-comprised direction-finding result, which must assure that, not to be surpassed
The fuzzy ranges than phase angle measurement are crossed, just can guarantee the subsequent uniqueness than phase angle measurement result.Assuming that the true incidence angle of signal is
φs0, measuring angle by comparing amplitude precision is Δ φae, more as shown in Figure 5 than amplitude ratio phase direction finding principle.
From figure 5 it can be seen that using measuring angle by comparing amplitude method solution than phase angle measurement phase ambiguity, it is necessary to meet 2 Δ φae≤
φaCondition.According to formula (9), ignore static error factor, then
Then, than the direction finding of amplitude ratio phase can solution than phase phase ambiguity baseline length condition are as follows:
Assuming that the angle measurement accuracy of requirement of system design is Δ φs0, according to formula (15), antenna baseline length d can be obtained are as follows:
Composite type (18) and formula (19) can obtain and limit range than amplitude ratio phase direction-finding method antenna baseline length d are as follows:
For wideband radar detecting system, working frequency range is wider, and corresponding wavelength change is larger, longest, minimal wave length
Than up to 3 times or more, it is assumed that reception signal wavelength variation range is [λmin,λmax], since the condition of formula (20) is for single
The limitation of frequency point, for whole system, to guarantee direction finding precision, most short work baseline should select maximum value, similarly, be
Guarantee than phase direction finding can ambiguity solution, longest work should select minimum value, so than amplitude ratio phase direction-finding method antenna baseline length d
Limitation range may be modified such that:
Step 2: angle and amplitude pattern being directed toward according to antenna beam, calculate amplitude between signal different directions incident antenna
Difference obtains amplitude difference table;According to antenna spacing, beam position and phase pattern, signal different directions incident antenna phase is calculated
Potential difference obtains phase meter.
Step 3: receiving the amplitude difference of same signal using three array elements and amplitude difference table carries out relevant treatment, obtain signal
The bigness scale value of incident two-dimensional directional.
Spaceborne radar warning system needs to measure the space two-dimensional angle information of radiation source, needs to carry out two-dimentional direction finding.Star
Radar warning direction finding schematic diagram is carried as shown in fig. 6, radiation source is located at the visible area of satellite, the radiation source angle for needing to measure
Information is (α1,β1), wherein α1For azimuth, β1For pitch angle.Fig. 6 is the undefined radiation source side of satellite carrier coordinate system
Position and pitch angle actually define azimuth and the pitch angle of radiation source frequently with cylinder coordinate system, carry with satellite in realization
The relationship of body coordinate system is as shown in fig. 7, radiation source orientation and pitch angle at this time are (α, β).
To reduce number on equipment amount and channel, this system uses three array-element antenna battle arrays, as shown in fig. 7, three array-element antenna sides
It is identical to scheming, but beam position is different, using Z axis as center axis, is uniformly distributed in space, as shown in figure 8, first antenna 1,
Second antenna 2,3 beam positional angle α of third antenna are respectively 225 °, 0 °, 90 °, and three beam positions are identical as Z axis angle, i.e.,
The pitch angle β of beam position is identical, and the second antenna 2, third antenna 3 are of equal value relative to the geometrical relationship of first antenna 1 at this time
, even antenna radiation pattern is full symmetric about beam central line in three-dimensional space, then this antenna array is in X-axis, Y direction
Angle measurement ability it is equal.
Fig. 8 antenna beam be directed toward under conditions of, wave beam along the face XOZ section as shown in figure 9, with one-dimensional direction finding
Situation is different, and third antenna 3 and first antenna 1, the wave beam of the second antenna 2 and asymmetry, antenna beam are spatially deposited at this time
Overlapping.
Since antenna gain, beam position are it is known that so beam amplitude gain inequality is fixed, still can using than
Width method carries out direction finding.Three antenna beams can form three groups of measuring angle by comparing amplitude antennas pair, i.e. every two day available one
Three amplitude differences of a direction are formed vector X (α, β), X (α, β)=[Δ F by group antenna amplitude gain difference Δ F12;Δ
F13;ΔF23], wherein Δ F12It is poor for first antenna 1 and the antenna amplitude gain of the second antenna 2, similarly, Δ F can be obtained13、Δ
F23, in three amplitude difference variables, Δ F12, Δ F13It is independent from each other uncorrelated variables, due between antenna overlapping region internal antenna
Amplitude difference there is monotonicity, so radiation source angle and triple channel amplitude difference vector correspond, it is assumed that three of measurement are logical
Phase difference is Y between road, and the angle of radiation source, X pairs of related coefficient maximum vector can be judged by the related coefficient of Y and X
The angle answered is exactly the incident angle of radiation source.Assuming that the space sample number of signal incident angle is N, then two dimension is surveyed than width
Angle may be expressed as:
(α,β)←max{Cov(Y,X1),…,Cov(Y,XN)} (22)
In a certain angle, since two-dimentional measuring angle by comparing amplitude is relative to an independent variable more than one-dimensional angle measurement, angle measurement Shandong
Stick is stronger, i.e. angle error is low to the more one-dimensional measuring angle by comparing amplitude of inter-channel level error suseptibility.
Step 4: the search range of signal incident direction is determined using the bigness scale result of amplitude-comprised direction-finding, amplitude-comprised direction-finding precision,
Relevant treatment and interpolation processing are carried out using three groups of phase differences between triple channel and phase meter, obtains final angle measurement result.
For this system three array elements two dimension than phase angle measurement, angle measurement process from it is one-dimensional more different than phase angle measurement.One-dimensional
Than in phase angle measurement, the direction of two antenna beams is identical, in the case where incoming signal is the hypothesis of plane wave, signal is from two antenna waves
The same angle of beam is incident, so influence of the phase of two antenna beams for signal is identical, i.e. the signal that two channel receptions arrive
It has been superimposed identical phase, between Measurement channel when phase difference, influence of the antenna phase to signal phase can be eliminated,
The only remaining inter-channel phase difference as caused by antenna baseline.And in the two-dimentional direction finding of ratio phase of this system, triantennary beam position is not
Together, as shown in figure 9, when receiving signal, the different angle of same signal from antenna beam is incident, causes same signal each
Channel has been superimposed different phase informations, when interchannel takes phase difference, not can be removed antenna radiation pattern phase characteristic to signal phase
The influence of position, so phase difference contains the phase and two channel respective antennas generated by antenna baseline between same signal path
The difference of directional diagram phase, therefore, it is impossible to calculate the incident angle of radiation source simply by formula (10).
For the signal of certain orientation incidence, corresponding antenna beam phase difference is fixed, and the phase as caused by wave path-difference
Position is same fixed, therefore, referring to amplitude-comprised direction-finding method, can establish signal incident phase table, i.e., to the institute of space incident angle
It is possible that property establishes phase difference between channels look-up table, but due to the particularity than phase direction finding, phase different from amplitude-comprised direction-finding
Difference is within the scope of entire angle measurement airspace and non-monotonic, and there are phase ambiguity phenomenons, this is mainly too long caused by antenna baseline
, it is therefore, then fuzzy in one than phase direction finding than needing to go out signal wave direction by amplitude-comprised direction-finding bigness scale before phase direction finding
It is scanned in orientation, determines radiation source angle information.
Different from the phase ambiguity period of one-dimensional direction finding, three array element ambiguity periods are longer, this is because three groups of interchannel phases
Caused by the combination of potential difference, two dimension is more as shown in Figure 10 than amplitude ratio phase phase ambiguity schematic diagram.
In three array-element antenna systems, there are three groups of array elements to combine, that is, there are three direction-finding baselines, and same signal is from difference
Space angle is incident, and the ambiguity period of three baselines is different, after combination as shown in Figure 10.Three groups of phase differences have respective fuzzy
Period, two dimension carry out angle measurements using three groups of phase differences simultaneously than phase angle measurement, though a certain group or two groups there are phase ambiguities, only
Will wherein one group it is dull in the entire region of search, corresponded with angle, that is, can determine arrival bearing, complete angle measurement.Institute
With the two-dimentional ambiguity period than phase angle measurement is the maximum value of three groups of phase difference ambiguity periods, as shown in Figure 10.
As it was noted above, two dimension is than in phase, except inter-channel phase difference caused by baseline, there is also different from antenna beam
Phase difference caused by direction is incident, therefore, actual cycle result and Figure 10 are variant, the corresponding channel of Difference angles
Between phase difference can be poor comprising different beam phases, cause each phase difference between channels periodically to generate variation, or even lose the period
Property.But due to using triple channel phase difference direction finding, as long as there are one groups and angle one in the region of search for three groups of phase differences
To one phase difference, two dimension can be completed than phase direction finding.
To sum up, for two dimension than amplitude ratio phase, baseline length d is except following the one-dimensional limitation than amplitude ratio phase angle measurement in formula (21)
Outside, it is also necessary to according to actual antenna gain, be directed toward and situation of structuring the formation reasonably is adjusted.
The validity of method in order to further illustrate the present invention, simulation analysis this method.Analogue system uses three array elements
L-type layout, antenna array are laid out geometrical model as shown in fig. 7, three array elements are identical, the service band of antenna be 2GHz~
6GHz, 90 ° of beam angle, under cylinder coordinate system, the orientation of the beam position of three antennas is respectively 225 °, 0 °, 90 °, is bowed
The elevation angle is 40 °, and spatial position is as shown in Fig. 7 and Fig. 8, it is assumed that 15 ° of inter-channel phase error, inter-channel level error 1dB,
It is calculated according to formula (21), obtains 0.08m≤d≤0.57m, the first antenna 1 being set according to actual conditions and the second antenna 2, the
The spacing of triantennary 3 is 0.14m.
It chooses tri- frequency points of 2GHz, 4GHz, 6GHz and carries out emulation experiments, and by the azimuth of antenna beam and pitch angle
It transforms under satellite carrier coordinate system, i.e., is transformed to (α from (α, β) coordinate1,β1), the corresponding antenna direction map sheet of three frequency points
As shown in figure 11, the phase of antenna radiation pattern is as shown in figure 12 for degree figure.Three width figures in comparison diagram 11, it is found that high frequency points
The lower frequency point of beam angle it is narrow, i.e. θbIt is smaller, the height of the beam main lobe ratio of gains low frequency point of high frequency points, detecting system antenna
Instantaneous coverage area by high frequency points beam angle θbIt determines, the variation of antenna beamwidth and gain will affect and survey than width
To precision.In figure 12 it can be seen that there are phase ambiguity phenomenons for the antenna radiation pattern phase of three frequency points itself, i.e., together
One antenna radiation pattern different directions phase difference has been more than 2 π, compares the ambiguity of three frequency points, it can be seen that the antenna of 6GHz
Beam phase ambiguity is the most serious.Due to three beam position differences, this phase ambiguity leads to the same space angle
The phase differences of different interchannels complicates, it is this it is fuzzy be unfavorable for it is subsequent than phase angle measurement.
Since three frequency point beam patterns are similar, simulation analysis hereafter is carried out by taking 4GHz frequency point beam pattern as an example.
According to the beam position of setting, same wave beam is subjected to rotation transformation, three is obtained and is directed toward different wave beams, triantennary wave beam
Amplitude gain space overlapping figure is as shown in figure 13, and Phase Stacking figure is as shown in figure 14.As can be seen from Figure 13, three wave beams exist
Space crossed superposition, in the same space angle, the corresponding amplitude gain of three wave beams is different, can using this gain difference
Realize two-dimentional direction finding.As shown in figure 14, since there are phase ambiguity phenomenon, three wave beam phases for three antenna beam phases itself
It is complex after bitmap is overlapping, but simultaneously it can be found that the phase difference of corresponding three wave beams of the same space angle, utilizes
This phase difference can be realized than phase direction finding.
According to the corresponding amplitude gain value of the same space angle, first antenna 1, the second antenna 2, third antenna 3 are asked respectively
Amplitude gain between wave beam is poor, and obtained result is as shown in figure 15.As seen from Figure 15, three groups of amplitude gain differences are in sky
Interior more smooth, no larger fluctuation, i.e. amplitude gain difference have monotonicity, the combination of three groups of amplitude gain differences in space
It is corresponded with space angle, can be used in two-dimentional direction finding.
For the principle for more clearly observing amplitude difference direction finding, respectively along 0 ° of face of pitch angle, 0 ° of azimuth in face of amplitude difference into
Row profile analysis, obtained result are as shown in figure 16.As shown in figure 16, three inter-channel level differences entire measurable angle range [-
45 °, 45 °] there is monotonicity, it is corresponded with signal angle, it can be seen that, three inter-channel level differences numerical value are different simultaneously,
Corresponding three Magnitude Differences of unspecified angle have uniqueness, this is conducive to subsequent related amplitude-comprised direction-finding processing.
It is similar with amplitude-comprised direction-finding, according to the corresponding each antenna beam phase of the same space angle and each antenna geometric position
Caused phase difference asks the phase difference between first antenna 1, the second antenna 2,3 corresponding channel of third antenna, obtained knot respectively
Fruit is as shown in figure 17.As shown in figure 17, the phase difference between each antenna is complex, but still fuzzy behaviour is presented, and such as in Figure 17 the
Phase difference between two antennas 2 and third antenna 3 is able to observe that apparent periodicity, this phase ambiguity lead to the same space
The corresponding phase difference of angle is not unique, needs to correct by ambiguity solution method.
It equally, is the phase difference variable law for more clearly observing interchannel, respectively along 0 ° of face of pitch angle, 0 ° of azimuth
Profile analysis is carried out in face of inter-channel phase difference figure, obtained result is as shown in figure 18.From Figure 18 as can be seen that three groups of channels
Between phase difference there are certain periodicity, but the repetition period is not fixed, and changes, this is because inter-channel phase not only wraps
Phase caused by range difference containing signal to antenna further includes the phase difference between two antenna beams.Due between two antenna beams
Phase difference regularity is poor, causes final phase difference without the fixed cycle, and certain periodicity is only presented, still, from Figure 18
In as can be seen that within a repetition period, at least two groups of phase differences have a monotonicity, the corresponding three groups of phases of same angle
Potential difference has uniqueness, and therefore, this phase difference can be used in direction finding.
According to simulation model above, under cylinder coordinate system, set with 10 ° to be spaced within the scope of 0 ° to 360 ° of azimuth dimension
Simulated point is set, with 5 ° simulated point is set to be spaced in pitching and tieing up within the scope of 0 ° to 45 °, it is imitative that each point carries out 100 Monte Carlos
Very, the corresponding angle measurement error of emulation different frequency.By taking 4GHz frequency point as an example, it is assumed that 15 ° of phase error, channel between system channel
Between range error 1dB, setting than phase fuzzy ranges be 10 °, by all angle measurement results of all simulated points according to angle error
It is ranked up from small to large, obtained two dimension is more as shown in figure 19 than amplitude ratio phase angle measurement error.
In Figure 19, than width error curve be only with measuring angle by comparing amplitude error result, than phase error curve be using than
The error of amplitude ratio phase method angle measurement, it can be seen that obviously frequently width error is small than amplitude ratio phase error for front half section, and the second half section compares width
Error is overlapped with than phase error curve, this is because when being to carry out on the basis of measuring angle by comparing amplitude than mutually surveying than amplitude ratio phase angle measurement
Angle needs to be searched for according to measuring angle by comparing amplitude result than phase angle measurement result, and search range is a fuzzy interval, when measuring angle by comparing amplitude misses
When difference is larger, offset signal true directions are larger, and region of search does not include real angle at this time, cause to obtain than phase angle measurement
Angle obscures angle for it, and angle error is possible to become much larger, so, it just will appear the result of Figure 19.It is missed in Figure 19 than width
Poor curve is substantially the variance yields of angle error with first crosspoint than amplitude ratio phase error curve, meets normal distribution
3 σ criterion, be first σ point.Simultaneously as can be seen that azimuth dimension and pitching dimension angle error curve it is slightly different, this be by
Antenna radiation pattern and non-360-degree it is full symmetric caused by.
For the difference of more each frequency point angle measurement performance, the ratio amplitude ratio phase angle measurement for also emulating 2GHz and 6GHz frequency point herein is missed
Difference, and compared with 4GHz frequency point, as a result as shown in figure 20.It can be observed from fig. 20 that the direction finding precision of three frequency points,
6GHz highest, 2GHz is minimum, this is because antenna is relatively narrow in the 3dB wave beam of high frequency points, is conducive to amplitude-comprised direction-finding, so, ratio
Amplitude ratio phase direction finding precision is higher.
The influence of amplitude ratio phase angle error is compared for research inter-channel level measurement error, this section also simulates different width
The ratio amplitude ratio phase angle error under the conditions of measurement error is spent, inter-channel level measurement error is from 0.3dB to 1.5dB, simulation result
As shown in figure 21.As can be seen from Figure 21, increase than amplitude ratio phase angle error with range error and increase, and speedup is with amplitude
Error increases and increases.
It is similar, inter-channel level measurement error is 0.9dB under conditions of, this section simulation analysis inter-channel phase
Error compares the influence of amplitude ratio phase angle measurement error, and inter-channel phase error changes to 16 ° from 0 °, and obtained simulation result is as schemed
Shown in 22.As shown in figure 22, increase than amplitude ratio phase angle error with inter-channel phase error and increase, but compare width with individual
Angle measurement result is compared, and has apparent reduction, is compared with Figure 21, more more slow with phase change than amplitude ratio phase angle measurement error result
Slowly, illustrate that the influence of the method receipts phase error is smaller, angle error is relatively stable.
Simulation result shows that mentioned two dimension has feasibility than amplitude ratio phase method, can significantly improve tradition and survey than width
To direction finding precision, enhance it is spaceborne alarm radar alarm ability.The relevant technologies can be applied to a variety of satellite platforms, for supervising
It surveys and alarm threatens, have wide military application prospect.
Claims (4)
1. a kind of spaceborne three array element pulse bidimensional direction-finding method, which comprises the following steps:
Step 1: according to minimal wave length, the limitation of measuring angle by comparing amplitude accuracy computation longest baseline for receiving signal;It is wanted according to working frequency range
The longest wavelength of the angle measurement accuracy and reception signal asked calculates most short baseline length requirement;Compare longest, most short baseline requirement, such as
Both fruits contradict, i.e., longest baseline is less than most short baseline, then under this service band width conditions, can not compare width using single baseline
Than phase angle measurement, modification bin width is needed, or uses biradical line, more baseline schemas;
Step 2: angle and amplitude pattern being directed toward according to antenna beam, amplitude difference between signal different directions incident antenna is calculated, obtains
To amplitude difference table;According to antenna spacing, beam position and phase pattern, signal different directions incident antenna phase difference is calculated,
Obtain phase meter;
Step 3: receiving the amplitude difference of same signal using three array elements and amplitude difference table carries out relevant treatment, obtain signal incidence two
Tie up the bigness scale value in direction;
Step 4: determining the search range of signal incident direction using the bigness scale result of amplitude-comprised direction-finding, amplitude-comprised direction-finding precision, utilize
Three groups of phase differences and phase meter carry out relevant treatment and interpolation processing between triple channel, obtain final angle measurement result.
2. spaceborne three array element pulse bidimensional direction-finding method according to claim 1, it is characterised in that: in step 1, specifically
Steps are as follows:
For amplitude-comprised direction-finding
Wherein, φsFor the incident angle of signal;θaFor two wave beam subtended angles;Two channel amplitude ratio R12;θbFor half-power beam width;
To θ in formula (7)a、θb、R12It demands perfection differential, obtains:
Wherein, Δ φsFor angle angle error;ΔθaFor two wave beam subtended angle errors;ΔθbFor antenna beam 3dB width error;Δ
R12For channel amplitude ratio error;For fixed antenna battle array, same frequency signal, beam angle and beam position are all fixed, then
Angle error is expressed as
Wherein k=θb/θa, it is constant;θa、θb、R12In three error components, Δ θa、ΔθbBelong to static error, Δ R12For dynamic
Error;
For than phase direction finding, the expression formula of angle measurement error are as follows:
Assuming that receiving signal wavelength variation range is [λmin,λmax], range is limited than amplitude ratio phase direction-finding method antenna baseline length d
Are as follows:
。
3. spaceborne three array element pulse bidimensional direction-finding method according to claim 1, it is characterised in that: step 2, step 3
Specific step is as follows:
Three antenna beams, form three groups of measuring angle by comparing amplitude antennas pair, i.e. every two antenna beam obtains one group of antenna amplitude gain
Three amplitude differences of a direction are formed vector X (α, β), X (α, β)=[Δ F by poor Δ F12;ΔF13;ΔF23], wherein Δ
F12It is poor for first antenna 1 and the antenna amplitude gain of the second antenna 2, similarly, obtain Δ F13、ΔF23, three amplitude difference variables
In, Δ F12, Δ F13It is independent from each other uncorrelated variables, since the amplitude difference between antenna overlapping region internal antenna has dullness
Property, so radiation source angle and triple channel amplitude difference vector correspond, it is assumed that three inter-channel phase differences of measurement are Y, are led to
The related coefficient of Y and X are crossed to judge the angle of radiation source, the corresponding angle of the maximum vector X of related coefficient is exactly radiation source
Incident angle;Assuming that the space sample number of signal incident angle is N, two-dimentional measuring angle by comparing amplitude is indicated are as follows:
(α,β)←max{Cov(Y,X1),…,Cov(Y,XN)} (22)。
4. spaceborne three array element pulse bidimensional direction-finding method according to claim 1, it is characterised in that: step 4 it is specific
Steps are as follows:
In three array-element antenna systems, there are three groups of array elements to combine, that is, there are three direction-finding baselines, and same signal is from different spaces angle
Degree is incident, and the ambiguity period of three baselines is different;Three groups of phase differences have respective ambiguity period, and two dimension utilizes simultaneously than phase angle measurement
Three groups of phase differences carry out angle measurements, though a certain group or two groups there are phase ambiguities, as long as wherein one group in the entire region of search
Dullness is corresponded with angle, that is, can determine arrival bearing, completes angle measurement, and two dimension is three groups of phases than the ambiguity period of phase angle measurement
The maximum value of potential difference ambiguity period.
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