CN104200110B - Decoupling-based two-dimensional beam scanning angle measurement method - Google Patents
Decoupling-based two-dimensional beam scanning angle measurement method Download PDFInfo
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Abstract
The invention discloses a decoupling-based two-dimensional beam scanning angle measurement method. The problem that a traditional two-dimensional beam scanning method for existing large phased array radar is large in calculation amount and cannot meet the real-time performance requirement. The method comprises the steps that 1, antenna array parameters and angle scanning information are set; 2, steering vectors in the y axis and z axis directions are created and weighing signals in the y axis and z axis directions are calculated according to the antenna array parameters and the angle scanning information; 3, weight vector matrixes in the y axis and z axis directions are built according to the antenna array parameters and the angle scanning information, digital beam forming is carried out on the weighing signals in the y axis and z axis directions according to the weight vector matrixes in the y axis and z axis directions, and beam scanning signals in the y axis and z axis directions are obtained; 4, a tested azimuthal angle and a tested pitch angle are calculated according to the beam scanning signals in the y axis and z axis directions respectively. The decoupling-based two-dimensional beam scanning angle measurement method reduces the traditional two-dimensional beam scanning calculation amount, improves the calculation speed and can be used for target angle measurement.
Description
Technical field
The invention belongs to the radar exploration technique field, specifically a kind of radar beam scanning angle-measuring method, can be used for
The measurement to angle on target for the Large Phased Array Radar.
Background technology
Because beam sweeping method principle is simple, it is easy to accomplish, beam angle is narrow, antenna receiving signal signal to noise ratio
In the case that relatively higher and aerial array minor level is relatively low, beam sweeping method has good angle measurement performance, therefore wave beam
Scan method is widely used in radar angle measurement.The general principle of beam sweeping method is by the weights according to change antenna,
Obtain array antenna in different beam positions, the output to same snap, the maximum obtained in output result is just permissible
Obtain the angle information of target.For beam sweeping method, its operand and bay number, angle scanning scope, angle
The factors such as the interval of scanning are relevant, and in the timing of other condition one, bay number is bigger, and operand is bigger, for large-scale phase
Control battle array radar, its array number is very big, typically up to thousand of or even up to ten thousand, therefore, for Large Phased Array Radar, ripple
The operand of beam scanning is very big.In the case of one-dimensional beam scanning, because its angle scanning is only in pitching dimension or azimuth dimension
Scanning, even so in the face of a lot of Large Phased Array Radar of array number, operand also will not arrive greatly the real-time of impact system
Property stage, but in the case of two-dimentional for, because pitching peacekeeping azimuth dimension has a coupling, need simultaneously in azimuth dimension with bow
Face upward dimension and carry out two dimensional beam scanning, its operand is theoretically azimuth dimension and the product of operand, therefore operand are tieed up in pitching
More much greater than one-dimensional beam scanning it is impossible to meet the requirement of real-time, affect practical application.
Content of the invention
Present invention aims to the deficiency of above-mentioned prior art is it is proposed that a kind of two dimensional beam based on uncoupling
Scanning radar angle-measuring method, to reduce the operand of two dimensional beam scanning, improves the angular velocity of two dimensional beam scanning.
The technical thought realizing the object of the invention is:By azimuth dimension and pitching dimension are carried out uncoupling, couple original
Azimuth dimension and pitching dimension separate so that two dimensional beam scanning be decomposed into two one-dimensional beam scannings, to reduce two dimensional beam and to sweep
The operand retouched, improves the speed that two dimensional beam scans angle measurement.Implementation step includes as follows:
(1) set aerial array as two-dimensional array, arbitrarily specify one-dimensional for y-axis direction, as line direction, another dimension is z
Direction of principal axis, as column direction, the element number of array in y-axis direction is set to Ny, array element distance is set to dy, the element number of array in z-axis direction sets
For Nz, array element distance is set to dz;
(2) set a datum plane P, and a three-dimensional coordinate system I is set up on datum plane, randomly select certain sky
Linear array unit, as the initial point of this coordinate system I, constitutes deflection angle beta between aerial array normal and datum plane normal;
(3) target is detected, antenna beam center pitching angle theta, azimuth are obtained according to the transmitting data of emitter
(4) according to transmission signal wavelength X, the element number of array N in y-axis directiony, array element distance dyEstimate the wave beam width in y-axis direction
Degree By;According to transmission signal wavelength X, the element number of array N in z-axis directionz, array element distance dzEstimate the beam angle B in z-axis directionz;
(5) utilize the beam angle B in y-axis directionyWith antenna beam center hold angleCalculate on beam scanning azimuth
LimitAnd lower limitBeam angle B using z-axis directionzWith antenna beam center pitching angle theta, calculate the beam scanning angle of pitch
Upper limit θuWith lower limit θd, set azimuth angle sweep spacingAngle of pitch angle scanning is spaced θz;
(6) according to antenna beam center hold angleAntenna beam center pitching angle theta, the element number of array N in y-axis directiony,
Array element distance dy, obtain the steering vector a in y-axis directiony;According to antenna beam center hold angleThe antenna beam center angle of pitch
θ, the element number of array N in z-axis directionz, array element distance dz, deflect angle beta, obtain the steering vector a in z-axis directionz;
(7) set the target echo signal of antenna array receiver as:
Wherein skThe signal receiving for aerial array row k, is a NyThe vector of dimension,The signal receiving for aerial array m row,
For a NzThe vector of dimension, k=1,2 ..., Nz, m=1,2 ..., Ny, NyFor the element number of array in y-axis direction, NzFor z-axis direction
Element number of array;Steering vector a using z-axis directionzAs digital beam froming, y-axis direction is obtained to target echo signal R
Weighted signal sy;Steering vector a using y-axis directionyObtain z-axis direction to target echo signal R as digital beam froming to add
Power signal sz;
(8) according to beam scanning azimuth boundWith azimuth angle sweep spacingObtain y-axis direction
Weight vector matrix Wy;According to beam scanning angle of pitch bound θu, θdIt is spaced θ with angle of pitch angle scanningz, obtain z-axis direction
Weight vector matrix Wz;Weight vector matrix W using y-axis directionyWeighted signal s to above-mentioned y-axis directionyMake digital beam shape
Become, calculate the beam scanning signal y in y-axis direction1;Weight vector matrix W using z-axis directionzWeighting letter to above-mentioned z-axis direction
Number szMake digital beam froming, calculate the beam scanning signal z in z-axis direction1;
(9) the beam scanning signal y to y-axis direction1Do beam scanning, calculate the azimuth of testTo z-axis direction
Beam scanning signal z1Do beam scanning, calculate the angle of pitch of test
The invention has the advantages that:
1. the present invention first resolves into two one-dimensional signals the 2D signal of antenna array receiver by uncoupling, then to two
Individual one-dimensional signal carries out beam scanning respectively, thus reducing the operand that two dimensional beam scans angle measurement, improves two dimensional beam
The speed of scanning angle measurement.
2. the present invention during the 2D signal of antenna array receiver is changed into two one-dimensional signals, collect mail by docking
Number carrying out digital beam froming, receipt signal having been accumulated, thus ensure that the precision of the inventive method angle measurement.
Brief description
Fig. 1 is existing large-scale antenna array radar antanna schematic diagram;
Fig. 2 is the implementing procedure figure of the present invention;
The angle measurement root-mean-square error curve map of Fig. 3 target alignment;
The angle measurement root-mean-square error curve map at inclined 2 degree of Fig. 4 azimuth;
The angle measurement root-mean-square error curve map of inclined 2 degree of Fig. 5 angle of pitch;
Fig. 6 angle of pitch, the angle measurement root-mean-square error curve map at inclined 2 degree of azimuth;
Fig. 7 present invention and the operand comparison diagram of conventional two-dimensional beam sweeping method.
Specific embodiment
With reference to Fig. 1, large-scale antenna array is made up of equally distributed aerial array, and the frame of reference is three-dimensional coordinate system
Xyz, o are coordinate origin, and datum plane P is yoz coordinate system place plane, and the target detecting is T, between the array element of y-axis direction
Away from for dy, z-axis direction array element distance is dz, the real angle of pitch of target is θt, azimuth isAerial array face normal L and x
The angle of axle is deflection angle beta.
With reference to Fig. 2, the present invention to realize step as follows:
Step 1:Set aerial array parameter.
From two-dimensional antenna array, arbitrarily specify one-dimensional as line direction, another dimension is then z-axis direction for y-axis direction,
As column direction;
Set the element number of array N in y-axis direction according to actual requirement of engineeringy, array element distance dy;The element number of array in z-axis direction
Nz, array element distance dz.
Step 2:Set a datum plane P, and a three-dimensional coordinate system I is set up on datum plane, randomly select certain
Individual bay, as the initial point of this coordinate system I, obtains the angle between aerial array normal and datum plane normal, is denoted as partially
Corner β.
Step 3:Target is detected, antenna beam center pitching angle theta, orientation are obtained according to the transmitting data of emitter
Angle
Step 4:Estimate the beam angle B in y-axis directionyBeam angle B with z-axis directionz.
(4a) according to transmission signal wavelength X, the element number of array N in y-axis directiony, array element distance dy, estimate the wave beam in y-axis direction
Width By:
(4b) according to transmission signal wavelength X, the element number of array N in z-axis directionz, array element distance dz, estimate the wave beam in z-axis direction
Width Bz:
Step 5:Calculate the beam scanning azimuth upper limitAnd lower limitBeam scanning angle of pitch upper limit θuWith lower limit θd,
And set azimuth angle sweep spacingIt is spaced θ with angle of pitch angle scanningz.
(5a) utilize the beam angle B in y-axis directionyWith antenna beam center hold angleCalculate on beam scanning azimuth
LimitAnd lower limit
(5b) utilize the beam angle B in z-axis directionzWith antenna beam center pitching angle theta, calculate on the beam scanning angle of pitch
Limit θuWith lower limit θd:
θu=θ+Bz/2
θd=θ-Bz/2.
(5c) azimuth angle sweep spacing is set according to angle measurement accuracy and angular velocity compromiseSweep with angle of pitch angle
Retouch interval θz, in the case that other specification is constant,And θzLess, angle measurement accuracy is bigger, but operand is also bigger.
Step 6:The steering vector a in construction y-axis directiony, the steering vector a in z-axis directionz.
(6a) according to antenna beam center hold angleAntenna beam center pitching angle theta, transmission signal wavelength X, y-axis direction
Element number of array Ny, array element distance dy, the steering vector a in construction y-axis directiony:
Wherein T represents transposition, and j is imaginary unit;
(6b) according to antenna beam center hold angleAntenna beam center pitching angle theta, transmission signal wavelength X, z-axis direction
Element number of array Nz, array element distance dz, deflect angle beta, the steering vector a in construction z-axis directionz:
Step 7:Antenna array receiver target echo signal, and calculate the weighted signal s in y-axis directionyWith adding of z-axis direction
Power signal sz.
(7a) target echo signal of antenna array receiver is:
Wherein skThe signal receiving for aerial array row k, is a NyThe vector of dimension,The signal receiving for aerial array m row,
For a NzThe vector of dimension, k=1,2 ..., Nz, m=1,2 ..., Ny, NyFor the element number of array in y-axis direction, NzFor z-axis direction
Element number of array;
(7b) utilize the steering vector a in z-axis directionzAs digital beam froming, y-axis direction is obtained to target echo signal R
Weighted signal sy:
Wherein H represents conjugate transposition;
(7c) utilize the steering vector a in y-axis directionyAs digital beam froming, z-axis direction is obtained to target echo signal R
Weighted signal sz:
Step 8:Obtain the beam scanning signal y in y-axis direction1Beam scanning signal z with z-axis direction1.
(8a) according to transmission signal wavelength X, antenna beam center pitching angle theta, beam scanning azimuth bound
The element number of array N in y-axis directiony, array element distance dyWith azimuth angle sweep spacingThe weight vector matrix in construction y-axis direction
Wy:
Wherein,Q represents and rounds
Operation,
(8b) according to transmission signal wavelength X, antenna beam center hold angleDeflection angle beta, the beam scanning angle of pitch is upper and lower
Limit θu, θd, the element number of array N in z-axis directionz, array element distance dzIt is spaced θ with angle of pitch angle scanningz, the power arrow in construction z-axis direction
Moment matrix Wz:
Wherein,M=((θu-
θd)/θz)q, θk=θd+(k-1)θz;
(8c) utilize the weight vector matrix W in y-axis directionyWeighted signal s to y-axis directionyMake digital beam froming, calculate y
Axial beam scanning signal y1:
(8d) utilize the weight vector matrix W in z-axis directionzWeighted signal s to z-axis directionzMake digital beam froming, calculate z
Axial beam scanning signal z1:
Step 9:Calculate the azimuth of testAnd the angle of pitch
(9a) find the beam scanning signal y in y-axis direction1Line number n that modulus value maximum point is locatedm, and calculate the orientation of test
Angle
WhereinFor beam scanning azimuth lower limit,For azimuth angle sweep spacing;
(9b) find the beam scanning signal z in z-axis direction1Line number m that modulus value maximum point is locatedm, and calculate the pitching of test
Angle
Wherein θdFor beam scanning angle of pitch lower limit, θzFor angle of pitch angle scanning interval.
The effect of the present invention can be further illustrated by following emulation:
1) simulated conditions
In emulation experiment of the present invention, software platform is MATLAB R2010a, sets the element number of array N in y-axis directionyAnd z-axis
The element number of array N in directionzIdentical, it is Ny=Nz=16.Transmission signal wavelength X=1m, array element distance d in y-axis directiony=λ/2, z
Axial array element distance dz=λ/2, aerial array normal and datum plane normal angle β=0 degree.The true pitching angle theta of targett
=2 degree, true bearing angleDegree, the azimuth angle scouting intervalIt is spaced θ with angle of pitch angle searchingzAll it is set to 0.15
Degree, Monte Carlo number of times Mc=1000.
2) emulation content and result:
Emulation 1, under these conditions, the signal to noise ratio snr excursion of sets target echo-signal is that -10dB arrives 10dB,
Change is spaced apart 2dB, antenna beam center pitching angle theta=2 degree, azimuthDegree, using the inventive method and tradition two
Dimension beam sweeping method calculates test azimuth and the test angle of pitch respectively, simulates two according to the test angle of pitch of two methods
Plant the change with target echo signal signal to noise ratio for the method angle of pitch mean square error;Simulated according to the test azimuth of two methods
, with the change of target echo signal signal to noise ratio, result is as shown in Figure 3 for two methods azimuth mean square error:
From the figure 3, it may be seen that in the case of the fully aligned target of antenna, the inventive method and conventional two-dimensional beam sweeping method
Angle of pitch mean square error and azimuth mean square error all reduce with the increase of target echo signal signal to noise ratio, and reduce speed
Very nearly the same, when target echo signal signal to noise ratio is higher, the angle of pitch mean square error of the inventive method and azimuth mean square error
Difference all drops to 0.2 degree, has been able to meet actual angle measurement demand, and precision and conventional two-dimensional beam sweeping method difference are no
Several.
Emulation 2, under these conditions, the signal to noise ratio snr excursion of sets target echo-signal is that -10dB arrives 10dB,
Change is spaced apart 2dB, the inventive method antenna beam center pitching angle theta=0 degree, azimuthDegree, conventional two-dimensional wave beam
The scan method antenna beam center angle of pitch and azimuth, with emulation 1, are divided using the present invention and conventional two-dimensional beam sweeping method
Azimuth and the test angle of pitch Ji Suan not tested, the two methods angle of pitch is simulated according to the test angle of pitch of two methods all square
Error is with the change of target echo signal signal to noise ratio;Two methods azimuth is simulated according to the test azimuth of two methods equal
, with the change of target echo signal signal to noise ratio, result is as shown in Figure 4 for square error:
As shown in Figure 4, when the antenna beam center angle of pitch deviates 2 degree of target, simulation result and the fully aligned target of antenna
Situation essentially identical, the angle of pitch mean square error of the inventive method and conventional two-dimensional beam sweeping method and azimuth mean square error
Difference all reduce with the increase of target echo signal signal to noise ratio, and reduce speed very nearly the same, simply signal to noise ratio than relatively low when,
The angle of pitch mean square error of the inventive method all can be slightly larger than the angle of pitch mean square error of conventional two-dimensional beam sweeping method, works as mesh
When mark echo-signal signal to noise ratio is higher, the angle of pitch mean square error of the inventive method and azimuthal mean square error all drop to
0.2 degree, have been able to meet actual angle measurement demand, and precision and conventional two-dimensional beam sweeping method very nearly the same.
Emulation 3, under these conditions, the signal to noise ratio snr excursion of sets target echo-signal is that -10dB arrives 10dB,
Change is spaced apart 2dB, the inventive method antenna beam center pitching angle theta=2 degree, azimuthDegree, conventional two-dimensional wave beam
The scan method antenna beam center angle of pitch and azimuth, with emulation 1, are divided using the present invention and conventional two-dimensional beam sweeping method
Azimuth and the test angle of pitch Ji Suan not tested, the two methods angle of pitch is simulated according to the test angle of pitch of two methods all square
Error is with the change of target echo signal signal to noise ratio;Two methods azimuth is simulated according to the test azimuth of two methods equal
, with the change of target echo signal signal to noise ratio, result is as shown in Figure 5 for square error:
As shown in Figure 5, when 2 degree of target is deviateed at antenna beam center hold angle, simulation result and the fully aligned target of antenna
Situation essentially identical, the angle of pitch mean square error of the inventive method and conventional two-dimensional beam sweeping method and azimuth mean square error
Difference all reduce with the increase of target echo signal signal to noise ratio, and reduce speed very nearly the same, simply signal to noise ratio than relatively low when,
The azimuth mean square error of the inventive method can be slightly larger than the azimuth mean square error of conventional two-dimensional beam sweeping method, works as echo
When Signal-to-Noise is higher, the angle of pitch mean square error of the inventive method and azimuth mean square error all drop to 0.2 degree,
Disclosure satisfy that actual angle measurement demand, and precision and conventional two-dimensional beam sweeping method very nearly the same.
Emulation 4, under these conditions, sets target echo-signal noise is that -10dB arrives 10dB than SNR excursion,
Change is spaced apart 2dB, the inventive method antenna beam center pitching angle theta=0 degree, azimuthDegree, conventional two-dimensional wave beam
The scan method antenna beam center angle of pitch and azimuth, with emulation 1, are divided using the present invention and conventional two-dimensional beam sweeping method
Azimuth and the test angle of pitch Ji Suan not tested, the two methods angle of pitch is simulated according to the test angle of pitch of two methods all square
Error is with the change of target echo signal signal to noise ratio;Two methods azimuth is simulated according to the test azimuth of two methods equal
, with the change of target echo signal signal to noise ratio, result is as shown in Figure 6 for square error:
It will be appreciated from fig. 6 that when antenna beam center hold angle and the angle of pitch all deviate 2 degree of target, simulation result is complete with antenna
Scopodromic situation is essentially identical entirely, the angle of pitch mean square error of the inventive method and conventional two-dimensional beam sweeping method and side
Parallactic angle mean square error all reduces with the increase of echo-signal signal to noise ratio, and decrease speed is very nearly the same, simply in signal to noise ratio ratio
When relatively low, the azimuth mean square error of the inventive method and angle of pitch mean square error all can be slightly larger than conventional two-dimensional beam scanning side
The azimuth mean square error of method and angle of pitch mean square error, when echo-signal signal to noise ratio is higher, the angle of pitch of the inventive method
Mean square error and azimuth mean square error all drop to 0.2 degree, have been able to meet actual angle measurement demand, and precision and tradition two
Dimension beam sweeping method is very nearly the same.
Emulation 5, changes the element number of array N in y-axis directionyElement number of array N with z-axis directionz, set Ny, NzIdentical and successively
Become and turn to 200,400,800,1600,3200, in the case that other simulated conditions above-mentioned are constant, simulate side of the present invention respectively
Method operand and conventional two-dimensional beam scanning orientation operand are with bay Ny, NzThe logarithmic curve of change, wherein logarithmic curve
With 10 as the truth of a matter, result is as shown in Figure 7:
From figure 7 it can be seen that in the case that other conditions are certain, the operand of the inventive method is much smaller than conventional two-dimensional
The operand of beam sweeping method.
In summary, the method for the present invention can be used for the angle letter using beam scanning method to target for the Large Phased Array Radar
Breath measures.
Claims (8)
1. a kind of two dimensional beam scanning angle-measuring method based on uncoupling, comprises the steps:
(1) set aerial array as two-dimensional array, arbitrarily specify one-dimensional for y-axis direction, as line direction, another dimension is z-axis side
To as column direction, the element number of array in y-axis direction is set to Ny, array element distance is set to dy, the element number of array in z-axis direction is set to Nz,
Array element distance is set to dz;
(2) set a datum plane P, and a three-dimensional coordinate system I is set up on datum plane, randomly select certain antenna array
Unit, as the initial point of this coordinate system I, constitutes deflection angle beta between aerial array normal and datum plane normal;
(3) target is detected, antenna beam center pitching angle theta, azimuth are obtained according to the transmitting data of emitter
(4) according to transmission signal wavelength X, the element number of array N in y-axis directiony, array element distance dyEstimate the beam angle in y-axis direction
By;According to transmission signal wavelength X, the element number of array N in z-axis directionz, array element distance dzEstimate the beam angle B in z-axis directionz;
(5) utilize the beam angle B in y-axis directionyWith antenna beam center hold angleCalculate the beam scanning azimuth upper limitWith
Lower limitBeam angle B using z-axis directionzWith antenna beam center pitching angle theta, calculate beam scanning angle of pitch upper limit θuWith
Lower limit θd, set azimuth angle sweep spacingAngle of pitch angle scanning is spaced θz;
(6) according to antenna beam center hold angleAntenna beam center pitching angle theta, the element number of array N in y-axis directiony, between array element
Away from dy, obtain the steering vector a in y-axis directiony;According to antenna beam center hold angleAntenna beam center pitching angle theta, z-axis
The element number of array N in directionz, array element distance dz, deflect angle beta, obtain the steering vector a in z-axis directionz;
(7) set the target echo signal of antenna array receiver as:Wherein sk
The signal receiving for aerial array row k, is a NyThe vector of dimension, s,mThe signal receiving for aerial array m row, is one
NzThe vector of dimension, k=1,2 ..., Nz, m=1,2 ..., Ny, NyFor the element number of array in y-axis direction, NzArray element for z-axis direction
Number;Steering vector a using z-axis directionzTarget echo signal R is obtained as digital beam froming with the weighted signal in y-axis direction
sy;Steering vector a using y-axis directionyTarget echo signal R is obtained as digital beam froming with the weighted signal in z-axis direction
sz;
(8) according to beam scanning azimuth bound With azimuth angle sweep spacingObtain the weight vector in y-axis direction
Matrix Wy;According to beam scanning angle of pitch bound θu, θdIt is spaced θ with angle of pitch angle scanningz, obtain the weight vector in z-axis direction
Matrix Wz;Weight vector matrix W using y-axis directionyWeighted signal s to above-mentioned y-axis directionyMake digital beam froming, calculate y
Axial beam scanning signal y1;Weight vector matrix W using z-axis directionzWeighted signal s to above-mentioned z-axis directionzCount
Word Wave beam forming, calculates the beam scanning signal z in z-axis direction1;
(9) the beam scanning signal y to y-axis direction1Do beam scanning, calculate the azimuth of testThe wave beam in z-axis direction is swept
Retouch signal z1Do beam scanning, calculate the angle of pitch of test
2. the two dimensional beam scanning angle-measuring method based on uncoupling according to claim 1, in wherein said step (4)
Estimate the beam angle B in y-axis directiony, carry out as follows;
Wherein λ is transmission signal wavelength, dyFor the array element distance in y-axis direction, NyElement number of array for y-axis direction.
3. the two dimensional beam scanning angle-measuring method based on uncoupling according to claim 1, in wherein said step (4)
Estimate the beam angle B in z-axis directionz, carry out as follows:
Wherein λ is transmission signal wavelength, dzFor the array element distance in z-axis direction, NzElement number of array for z-axis direction.
4. the two dimensional beam scanning angle-measuring method based on uncoupling according to claim 1, in wherein said step (5)
Calculate the beam scanning azimuth upper limitAnd lower limitBeam scanning angle of pitch upper limit θuWith lower limit θd, respectively as follows
Carry out:
θu=θ+Bz/2
θd=θ-Bz/2
Wherein, ByFor the beam angle in y-axis direction,For antenna beam center hold angle, BzFor the beam angle in z-axis direction, θ is
The antenna beam center angle of pitch.
5. the two dimensional beam scanning angle-measuring method based on uncoupling according to claim 1, in wherein said step (6)
The steering vector a in y-axis directiony, the steering vector a in z-axis directionz, it is expressed as follows respectively
Wherein, T represents transposition, and λ is transmission signal wavelength, and j is imaginary unit, dyFor the array element distance in y-axis direction, dzFor z-axis side
To array element distance, NyFor the element number of array in y-axis direction, NzFor the element number of array in z-axis direction, θ is the pitching of antenna beam center
Angle,For antenna beam center hold angle, β is deflection angle.
6. the two dimensional beam scanning angle-measuring method based on uncoupling according to claim 1, in wherein said step (7)
The weighted signal s in y-axis directiony, the weighted signal s in z-axis directionz, it is calculated as follows respectively:
Wherein H represents conjugate transposition, and T represents transposition, ayFor the steering vector in y-axis direction, azFor the steering vector in z-axis direction, R
Target echo signal for antenna array receiver.
7. the two dimensional beam scanning angle-measuring method based on uncoupling according to claim 1, in wherein said step (8)
Calculate the beam scanning signal y in y-axis direction1, the beam scanning signal z in z-axis direction1, carry out as follows:
(7a) construct the weight vector matrix W in y-axis directiony:
Wherein
Q represents floor operation,WithBeam scanning azimuth bound,For azimuth angle sweep spacing, T represents transposition, and λ is
Transmission signal wavelength, j is imaginary unit, dyFor the array element distance in y-axis direction, NyFor the element number of array in y-axis direction, θ is antenna ripple
The beam center angle of pitch;
(7b) construct the weight vector matrix W in z-axis directionz:
WhereinM=((θu-θd)/θz
)q, q represents floor operation, θk=θd+(k-1)θz, θuAnd θdFor beam scanning angle of pitch bound, θzFor angle of pitch angle scanning
Interval, T represents transposition, and λ is transmission signal wavelength, and j is imaginary unit, dzFor the array element distance in z-axis direction, NzFor z-axis direction
Element number of array,For antenna beam center hold angle, β is deflection angle;
(7c) calculate the beam scanning signal y in y-axis direction as follows respectively1, the beam scanning signal z in z-axis direction1:
Wherein H represents conjugate transposition, and T represents transposition, WyFor the weight vector matrix in y-axis direction, syFor the weighted signal in y-axis direction,
WzFor the weight vector matrix in z-axis direction, szWeighted signal for z-axis direction.
8. the two dimensional beam scanning angle-measuring method based on uncoupling according to claim 1, in wherein said step (9)
Calculate the azimuth of testAnd the angle of pitchCarry out as follows:
(8a) find the beam scanning signal y in y-axis direction1Line number n that modulus value maximum point is locatedm, it is calculated as follows test
Azimuth
WhereinFor beam scanning azimuth lower limit,For azimuth angle sweep spacing;
(8b) find the beam scanning signal z in z-axis direction1The columns m that modulus value maximum point is locatedm, it is calculated as follows test
The angle of pitch
Wherein θdFor beam scanning angle of pitch lower limit, θzFor angle of pitch angle scanning interval.
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