CN106646471A - On-board high resolution SAR imaging method based on azimuth spatial variation error compensation - Google Patents
On-board high resolution SAR imaging method based on azimuth spatial variation error compensation Download PDFInfo
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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
- G01S13/89—Radar or analogous systems specially adapted for specific applications for mapping or imaging
- G01S13/90—Radar or analogous systems specially adapted for specific applications for mapping or imaging using synthetic aperture techniques, e.g. synthetic aperture radar [SAR] techniques
- G01S13/9004—SAR image acquisition techniques
- G01S13/9017—SAR image acquisition techniques with time domain processing of the SAR signals in azimuth
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Abstract
The invention belongs to a radar technology field, and discloses an on-board high resolution SAR imaging method based on azimuth spatial variation error compensation. The on-board high resolution SAR imaging method comprises steps that an on-board SAR radar is used to receive an echo signal, and is used for the range pulse pressure, the range migration correction, and the azimuth Fourier transform of the echo signal sequentially to acquire an azimuth wave number field signal; the azimuth partitioning of the azimuth wave number field signal is carried out in various range gates to acquire various azimuth sub-block signals after the azimuth partitioning; corresponding azimuth matched filtering functions in the various azimuth sub-blocks are calculated in a point-to-point manner, and coarse resolution imaging is carried out; coarse resolution images are calculated, and then the azimuth Fourier transform is carried out, and integration of azimuth number spectrum is realized by wave cyclic shift and splicing, and then the complete wave number spectrum of the corresponding range gate is acquired, and then azimuth inverse Fourier transform is carried out; the azimuth partitioning and the spectrum integration of the various range gates are carried out sequentially in a repeated manner until processing results corresponding to all of the range gates are acquired, and therefore a full resolution imaging result is acquired.
Description
Technical field
The invention belongs to Radar Technology field, more particularly to a kind of airborne high-resolution based on orientation space-variant error compensation
SAR imaging methods, can be used for airborne High Resolution SAR imaging.
Background technology
Motion compensation is the important letter of airborne synthetic aperture radar (Synthetic Aperture Radar, SAR) imaging
Number processing links.Under the conditions of long synthetic aperture high-resolution imaging, the accuracy of motion compensation is airborne for low latitude miniature self-service
SAR imaging results are most important, and its impact will appear as distance to the space-variant with orientation.Carried SAR is moved apart from space-variant
The compensation of error mainly adopts " two step penalty methods ".But the method has limitation, when airplane motion big rise and fall or radar work
Make in high band, impact of the remaining orientation space-variant error to azimuth focus be can not ignore.
At present, the compensation method of orientation space-variant kinematic error mainly have sub-aperture landform and aperture Dependent Algorithm in Precision (SATA) and
Accurate landform relies on motion compensation process (PTA) with aperture.SATA efficiency highs but be constant due to introducing sub-aperture kinematic error
Hypothesis and affect its precision.PTA can relatively accurately compensate orientation space-variant error, but orientation wave-number spectrum process does not consider remnants
Phase effect causes its precision to be still limited.
The content of the invention
The present invention provides a kind of airborne High Resolution SAR imaging method based on orientation space-variant error compensation, can accurately mend
Repay high-order orientation space-variant kinematic error.
The present invention technical thought be:Using conventional RD (range Doppler) algorithm original echo is entered row distance pulse pressure and
Sub-block is divided in orientation wave-number domain after RCMC (range migration correction), the accurate orientation matching of thick imaging network node-by-node algorithm is set up
Filter function, carries out coarse resolution imaging.Become the thick imaging results of each sub-block of changing commanders followed by orientation Fourier and transform to orientation
Wave-number domain, and cyclic shift splices obtain complete orientation wave-number spectrum successively, after being compensated finally by inverse Fourier conversion
It is complete to differentiate SAR image.
To reach above-mentioned purpose, the present invention is adopted the following technical scheme that and is achieved.
A kind of airborne High Resolution SAR imaging method based on orientation space-variant error compensation, methods described comprises the steps:
Step 1, obtains the echo-signal of airborne High Resolution SAR radar, the echo-signal is entered successively row distance pulse pressure,
Range migration correction, azimuth Fourier transform, obtain azimuth beam domain signal, azimuth beam domain signal be included in P away from
In door;P is the positive integer more than zero;
Step 2, to the azimuth beam domain signal in p-th range gate orientation piecemeal is carried out, and is obtained in p-th range gate
Q orientation sub-block signal;Wherein, the initial value of p is 1, and p=[1 ..., P], Q are the positive integer more than zero;
Step 3, to q-th orientation sub-block signal in p-th range gate, calculates q-th orientation sub-block letter
The corresponding orientation matched filtering function of each data point in number, so as to obtain q-th orientation sub-block in p-th range gate
All data points distinguish corresponding orientation matched filtering function in signal;Wherein, the initial value of q is 1, and q=[1 ..., Q];
Step 4, by all data points in q-th orientation sub-block signal in p-th range gate corresponding side is distinguished
Matched filtering function in position constitutes the orientation matched filter group of q-th orientation sub-block signal in p-th range gate;And will be described
All data points are obtained respectively by the orientation matched filter group in q-th orientation sub-block signal in p-th range gate
The filtered time-domain signal of q-th orientation sub-block signal frequency domain in p-th range gate, by q-th side in p-th range gate
Coarse resolution of the time-domain signal after the block signal frequency domain filtering of seat as q-th orientation sub-block signal in p-th range gate
Imaging results;And the coarse resolution imaging results to q-th orientation sub-block signal in p-th range gate carry out orientation Fu
In leaf transformation, obtain the wave beam spectrum of q-th orientation sub-block signal in p-th range gate;
Step 5, the value for making q plus 1, and is repeated in execution step 3- step 4, until obtaining the Q in p-th range gate
The wave beam spectrum of orientation sub-block signal, is shifted and is spelled to the wave beam spectrum of Q orientation sub-block signal in p-th range gate
Connect, obtain wave beam spectrum complete in p-th range gate;
Step 6, the value for making p plus 1, and is repeated in execution step 2- step 5, complete in P range gate until obtaining
Wave beam is composed, and wave beam complete in the P range gate is composed as airborne High Resolution SAR imaging results.
The characteristics of technical solution of the present invention and further it is improved to:
(1) in the step 1, obtain azimuth beam domain signal and be specially:Orientation wave-number domain signal S (Kx, x, r):
S(Kx, x, r) and=∫ exp {-jKrc[Rn(X, x, r)+Δ rε(X, x, r)]-jKxX}dX
Wherein, x is position of orientation variable of the data point relative to beam center, and x is the azimuthal coordinates of carrier aircraft, and r is current
Wave number center oblique distance variable, K under range gatexFor orientation wave number variable, KrcFor wave beam domain conversion coefficient, Krc=4 π/λ, λ are ripple
It is long, Rn(X, x, r) is the target oblique distance under current distance door, For
Carrier aircraft angle of squint, beam center is in the abscissa of floor projectionΔrεFor remaining orientation space-variant error.
(2) in step 2, if the azimuth beam domain signal length in p-th range gate is N, then when carrying out orientation piecemeal, side
Length N of seat block signalaMeet following condition:
Wherein, PRF is pulse recurrence frequency, and M is coarse resolution Gridding length.
(3) in step 3, the corresponding orientation matched filtering function of each data point is calculated, specially:For data point (xp,
R), its corresponding orientation matched filtering function phi (Kx, xp, r) it is:
Φ(Kx, xp, r)=Krc[Rn(X*, xp, r)+Δ rε(X*)]+KxX*
Wherein, x*It is point in phase bit, xpFor data point relative to beam center position of orientation, r is under current distance door
For definite value.
(4) in step 4, all data points in q-th orientation sub-block signal in p-th range gate are passed through respectively
The orientation matched filter group, obtains the filtered time domain letter of q-th orientation sub-block signal frequency domain in p-th range gate
Number, specially:
For the data point (x in q-th orientation sub-block signal in p-th range gatep, r), it is by the orientation
With the time-domain signal S after the frequency domain filtering obtained after wave filter groupu(x, r) is:
Wherein, Kx∈[-ΔKa/ 2, Δ Ka/ 2] it is orientation wave number variable, Δ KaFor orientation wave number spectral width, KuFor orientation ripple
Shuo Pu centers.
(5) in step 5, the wave beam spectrum of Q orientation sub-block signal in p-th range gate is shifted and is spelled
Connect, obtain wave beam spectrum complete in p-th range gate, specifically include:
After obtaining the wave beam spectrum of Q orientation sub-block signal in p-th range gate, the ripple of the Q orientation sub-block signal
Beam is composed respectively about origin symmetry;
Its wave-number spectrum is displaced to according to location order to each the wave beam spectrum in the wave beam spectrum of the Q orientation sub-block signal
Center and causes each side relative to the position of whole spectrum widths after splicing to the wave beam of Q orientation sub-block signal spectrum
The wave beam of seat block signal composes continuous and non-overlapping copies.
The present invention is had the advantage that compared with prior art:
(1) present invention processes thought using rear orientation projection, compared with traditional orientation space-variant movement compensating algorithm, it is possible to achieve
Vernier focusing under the conditions of the big kinematic error of high band;(2) present invention processes thought using piecemeal, calculates with traditional rear orientation projection
Method is compared and effectively reduce operand.
Description of the drawings
In order to be illustrated more clearly that the embodiment of the present invention or technical scheme of the prior art, below will be to embodiment or existing
The accompanying drawing to be used needed for having technology description is briefly described, it should be apparent that, drawings in the following description are only this
Some embodiments of invention, for those of ordinary skill in the art, on the premise of not paying creative work, can be with
Other accompanying drawings are obtained according to these accompanying drawings.
Fig. 1 is a kind of airborne High Resolution SAR imaging side based on orientation space-variant error compensation provided in an embodiment of the present invention
The schematic flow sheet of method;
Fig. 2 is wave-number spectrum displacement, the splicing schematic diagram that emulation provided in an embodiment of the present invention is adopted;
Fig. 3 is point target kinematic error schematic diagram in emulation one provided in an embodiment of the present invention;
Fig. 4 is FFBP algorithms and all kinds of algorithm orientation pulse respond pair in emulation one provided in an embodiment of the present invention
Compare schematic diagram;
Fig. 5 is that FFBP processes measured data result schematic diagram in emulation two provided in an embodiment of the present invention;
Fig. 6 is that FFBP shows with all kinds of algorithm process partial enlargement Comparative results in emulation two provided in an embodiment of the present invention
It is intended to;
Fig. 7 is in emulation two provided in an embodiment of the present invention, with reference to scattering point orientation pulse respond contrast schematic diagram.
Specific embodiment
Below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, complete
Site preparation is described, it is clear that described embodiment is only a part of embodiment of the invention, rather than the embodiment of whole.It is based on
Embodiment in the present invention, it is every other that those of ordinary skill in the art are obtained under the premise of creative work is not made
Embodiment, belongs to the scope of protection of the invention.
The embodiment of the present invention provides a kind of airborne High Resolution SAR imaging method based on orientation space-variant error compensation, such as Fig. 1
Shown, methods described comprises the steps:
Step 1, obtains the echo-signal of airborne High Resolution SAR radar, the echo-signal is entered successively row distance pulse pressure,
Range migration correction, azimuth Fourier transform, obtain azimuth beam domain signal, azimuth beam domain signal be included in P away from
In door;P is the positive integer more than zero.
In the step 1, obtain azimuth beam domain signal and be specially:Orientation wave-number domain signal S (Kx, x, r):S(Kx, x, r)
=∫ exp {-jKrc[Rn(X, x, r)+Δ rε(X, x, r)]-jKxX}dX
Wherein, x is position of orientation variable of the data point relative to beam center, and x is the azimuthal coordinates of carrier aircraft, and r is current
Wave number center oblique distance variable, K under range gatexFor orientation wave number variable, KrcFor wave beam domain conversion coefficient, Krc=4 π/λ, λ are ripple
It is long, Rn(X, x, r) is the target oblique distance under current distance door, For
Carrier aircraft angle of squint, beam center is in the abscissa of floor projectionΔrεFor remaining orientation space-variant error.
Step 2, to the azimuth beam domain signal in p-th range gate orientation piecemeal is carried out, and is obtained in p-th range gate
Q orientation sub-block signal;Wherein, the initial value of p is 1, and p=[1 ..., P], Q are the positive integer more than zero.
In step 2, if the azimuth beam domain signal length in p-th range gate is N, then when carrying out orientation piecemeal, orientation
Length N of sub-block signalaMeet following condition:
Wherein, PRF is pulse recurrence frequency, and M is coarse resolution Gridding length.
Then above-mentioned foundation makes the frequency spectrum that orientation sub-block is included be not more than the frequency spectrum of coarse resolution grid, that is to say, that orientation
The frequency spectrum of block can not occur aliasing in coarse resolution grid.
Step 3, to q-th orientation sub-block signal in p-th range gate, calculates q-th orientation sub-block letter
The corresponding orientation matched filtering function of each data point in number, so as to obtain q-th orientation sub-block in p-th range gate
All data points distinguish corresponding orientation matched filtering function in signal;Wherein, the initial value of q is 1, and q=[1 ..., Q].
In step 3, the corresponding orientation matched filtering function of each data point is calculated, specially:For data point (xp, rp),
Its corresponding orientation matched filtering function phi (Kx, xp, rp) be:
Φ(Kx, xp, rp)=Krc[Rn(X*, xp, rp)+Δrε(X*)]+KxX*
Wherein, x*It is point in phase bit, xpFor data point relative to beam center position of orientation, r is under current distance door
For definite value.
Specifically, x*It is point in phase bit:
X*=p1y+p2y2+p3y3+x
Wherein, a0-a4It is by RnThe coefficient of polynomial fitting that Taylor launches near X-x=0, has:
Δrε(X)≈a0+a1(X-x)+a2(X-x)2+a3(X-x)3+a4(X-x)4
Step 4, by all data points in q-th orientation sub-block signal in p-th range gate corresponding side is distinguished
Matched filtering function in position constitutes the orientation matched filter group of q-th orientation sub-block signal in p-th range gate;And will be described
All data points are obtained respectively by the orientation matched filter group in q-th orientation sub-block signal in p-th range gate
The filtered time-domain signal of q-th orientation sub-block signal frequency domain in p-th range gate, by q-th side in p-th range gate
Coarse resolution of the time-domain signal after the block signal frequency domain filtering of seat as q-th orientation sub-block signal in p-th range gate
Imaging results;And the coarse resolution imaging results to q-th orientation sub-block signal in p-th range gate carry out orientation Fu
In leaf transformation, obtain the wave beam spectrum of q-th orientation sub-block signal in p-th range gate.
In step 4, all data points in q-th orientation sub-block signal in p-th range gate are passed through respectively institute
Orientation matched filter group is stated, the filtered time-domain signal of q-th orientation sub-block signal frequency domain in p-th range gate is obtained,
Specially:
For the data point (x in q-th orientation sub-block signal in p-th range gatep, r), it is by the orientation
With the time-domain signal S after the frequency domain filtering obtained after wave filter groupu(x, r) is:
Wherein, Kx∈[-ΔKa/ 2, Δ Ka/ 2] it is orientation wave number variable, Δ KaFor orientation wave number spectral width, KuFor orientation ripple
Shuo Pu centers.
Step 5, the value for making q plus 1, and is repeated in execution step 3- step 4, until obtaining the Q in p-th range gate
The wave beam spectrum of orientation sub-block signal, is shifted and is spelled to the wave beam spectrum of Q orientation sub-block signal in p-th range gate
Connect, obtain wave beam spectrum complete in p-th range gate.
In step 5, the wave beam spectrum of Q orientation sub-block signal in p-th range gate is shifted and spliced, obtained
Complete wave beam spectrum in p-th range gate, as shown in Fig. 2 specifically including:
After obtaining the wave beam spectrum of Q orientation sub-block signal in p-th range gate, the ripple of the Q orientation sub-block signal
Beam is composed respectively about origin symmetry;
Its wave-number spectrum is displaced to according to location order to each the wave beam spectrum in the wave beam spectrum of the Q orientation sub-block signal
Center and causes each side relative to the position of whole spectrum widths after splicing to the wave beam of Q orientation sub-block signal spectrum
The wave beam of seat block signal composes continuous and non-overlapping copies.
Step 6, the value for making p plus 1, and is repeated in execution step 2- step 5, complete in P range gate until obtaining
Wave beam is composed, and wave beam complete in the P range gate is composed as airborne High Resolution SAR imaging results.
The effect of the present invention can be described further by following emulation experiment:
1) simulated conditions:
Point target simulation parameter of the present invention is as shown in table 1:
The point target simulation parameter of table 1
Wherein kinematic parameter is calculated according to actual measurement aircraft inertial navigation record and obtained, as shown in Figure 3.
2. emulation content and interpretation of result:
Emulation 1:With the inventive method under 0 degree, 5 degree of angles of squint, one-dimensional image and and TWO- are carried out to wave number central point
STEP, PTA, SATA algorithm process result is contrasted, as shown in figure 4, using peak sidelobe ratio (Peak Side-Lobe respectively
Ratio, PSLR), integration secondary lobe ratio (Integrated Side-Lobe Ratio, PSLR) and response pulse duration (Impulse
Response Width, IRW) quantify to compare result as shown in table 2, table 3 as evaluation criterion.
Table 2 emulates quantitative analysis result under one 0 degree of angles of squint
Table 3 emulates quantitative analysis result under one 5 degree of angles of squint
Emulation 2:It is imaged under positive side-looking band pattern with the inventive method, and is tied with Two-step, PTA, SATA algorithm
Fruit is contrasted.With emulation one, size of data is 8192*16384 to simulation parameter, intercepts part result as shown in Figure 5.Choosing
Take figure Scene 1, scene 2 carries out contrasting as shown in Figure 6 with other algorithm process results.Two scattering points A, B in figure are chosen, it is right
Than its orientation impulse response function as shown in fig. 7, its quantitative statisticses result is as shown in table 4,5.
Table 4 emulates two scattering point A quantitative analysis results
Table 5 emulates two scattering point B quantitative analysis results
3. analysis of simulation result:
PLSR, ISLR, IRW value that can be seen that the method that the present invention is provided from table 2, table 3 is respectively less than remaining each algorithm,
Therefore effect is best.
It can be found that " Two-Step " motion compensation process effect is worst from Fig. 6, the result of PTA and SATA is deposited
In different degrees of blooming effect, this is because there is remaining uncompensated kinematic error in block margin point, and what the present invention was provided
Preferably, the result for isolated point A, B also demonstrates the performance of the method for present invention offer to method effect.
The above, the only specific embodiment of the present invention, but protection scope of the present invention is not limited thereto, any
Those familiar with the art the invention discloses technical scope in, change or replacement can be readily occurred in, all should contain
Cover within protection scope of the present invention.Therefore, protection scope of the present invention should be defined by the scope of the claims.
Claims (6)
1. a kind of airborne High Resolution SAR imaging method based on orientation space-variant error compensation, it is characterised in that methods described includes
Following steps:
Step 1, obtains the echo-signal of airborne High Resolution SAR radar, and to the echo-signal row distance pulse pressure, distance are entered successively
Migration correction, azimuth Fourier transform, obtain azimuth beam domain signal, and azimuth beam domain signal is included in P range gate
It is interior;P is the positive integer more than zero;
Step 2, to the azimuth beam domain signal in p-th range gate orientation piecemeal is carried out, and obtains Q in p-th range gate
Orientation sub-block signal;Wherein, the initial value of p is 1, and p=[1 ..., P], Q are the positive integer more than zero;
Step 3, to q-th orientation sub-block signal in p-th range gate, calculates in q-th orientation sub-block signal
The corresponding orientation matched filtering function of each data point, so as to obtain q-th orientation sub-block signal in p-th range gate
Interior all data points distinguish corresponding orientation matched filtering function;Wherein, the initial value of q is 1, and q=[1 ..., Q];
Step 4, by all data points in q-th orientation sub-block signal in p-th range gate corresponding orientation is distinguished
The orientation matched filter group of q-th orientation sub-block signal in p-th range gate is constituted with filter function;And by the pth
All data points obtain pth respectively by the orientation matched filter group in q-th orientation sub-block signal in individual range gate
The filtered time-domain signal of q-th orientation sub-block signal frequency domain in individual range gate, by q-th orientation in p-th range gate
The filtered time-domain signal of sub-block signal frequency domain as q-th orientation sub-block signal in p-th range gate coarse resolution into
As result;And the coarse resolution imaging results to q-th orientation sub-block signal in p-th range gate are carried out in orientation Fu
Leaf transformation, obtains the wave beam spectrum of q-th orientation sub-block signal in p-th range gate;
Step 5, the value for making q plus 1, and is repeated in execution step 3 to step 4, until obtaining Q in p-th range gate side
The wave beam spectrum of seat block signal, is shifted and is spelled to the wave beam spectrum of Q orientation sub-block signal in p-th range gate
Connect, obtain wave beam spectrum complete in p-th range gate;
Step 6, the value for making p plus 1, and is repeated in execution step 2 to step 5, until obtaining wave beam complete in P range gate
Spectrum, and wave beam complete in the P range gate is composed as airborne High Resolution SAR imaging results.
2. a kind of airborne High Resolution SAR imaging method based on orientation space-variant error compensation according to claim 1, it is special
Levy and be, in the step 1, obtain azimuth beam domain signal and be specially:Orientation wave-number domain signal S (Kx,x,r):
S(Kx, x, r) and=∫ exp {-jKrc[Rn(X,x,r)+△rε(X,x,r)]-jKxX}dX
Wherein, x is position of orientation variable of the data point relative to beam center, and X is the azimuthal coordinates of carrier aircraft, and r is p-th distance
The lower wave number center oblique distance variable of door, KxFor orientation wave number variable, KrcFor wave beam domain conversion coefficient, Krc=4 π/λ, λ are wavelength, Rn
(X, x, r) is the target oblique distance under p-th range gate, For carrier aircraft
Angle of squint, beam center is in the abscissa of floor projection△rεFor remaining orientation space-variant error.
3. a kind of airborne High Resolution SAR imaging method based on orientation space-variant error compensation according to claim 1, it is special
Levy and be, in step 2, if the azimuth beam domain signal length in p-th range gate is N, then to the orientation in p-th range gate
When Beam Domain signal carries out orientation piecemeal, length N of each the orientation sub-block signal for obtainingaMeet following condition:
Wherein, PRF is pulse recurrence frequency, and M is coarse resolution Gridding length.
4. a kind of airborne High Resolution SAR imaging method based on orientation space-variant error compensation according to claim 2, it is special
Levy and be, in step 3, calculate the corresponding orientation matched filtering function of each data point, specially:For in p-th range gate
Q-th orientation sub-block signal in data point (xp, r), its corresponding orientation matched filtering function phi (Kx,xp, r) it is:
Φ(Kx,xp, r)=Krc[Rn(X*,xp,rp)+△rε(X*)]+KxX*
Wherein, X*It is point in phase bit, xpFor data point relative to beam center position of orientation, r be p-th range gate under ripple
Number center oblique distance variable, r is definite value under p-th range gate.
5. a kind of airborne High Resolution SAR imaging method based on orientation space-variant error compensation according to claim 4, it is special
Levy and be, in step 4, by all data points in q-th orientation sub-block signal in p-th range gate respectively by described
Orientation matched filter group, obtains the filtered time-domain signal of q-th orientation sub-block signal frequency domain in p-th range gate, tool
Body is:
For the data point (x in q-th orientation sub-block signal in p-th range gatep, r), it is filtered by orientation matching
Time-domain signal S after the frequency domain filtering obtained after ripple device groupu(x, r) is:
Wherein, KxFor orientation wave number variable, Kx∈[-△Ka/2,△Ka/ 2], △ KaFor orientation wave number spectral width, KuFor orientation ripple
Shuo Pu centers, ∈ is represented and belonged to.
6. a kind of airborne High Resolution SAR imaging method based on orientation space-variant error compensation according to claim 5, it is special
Levy and be, in step 5, the wave beam spectrum of Q orientation sub-block signal in p-th range gate is shifted and spliced, obtain
Complete wave beam spectrum in p-th range gate, specifically includes:
After obtaining the wave beam spectrum of Q orientation sub-block signal in p-th range gate, the wave beam of the Q orientation sub-block signal is composed
Respectively about origin symmetry;
Its wave-number spectrum center is displaced to according to location order to each the wave beam spectrum in the wave beam spectrum of the Q orientation sub-block signal
Relative to the position of whole spectrum widths, and each orientation is caused after splicing to the wave beam of Q orientation sub-block signal spectrum
The wave beam of block signal composes continuous and non-overlapping copies.
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CN108459321A (en) * | 2018-02-07 | 2018-08-28 | 杭州电子科技大学 | Justify the big strabismus High Resolution SAR Imaging method of model based on range-azimuth |
CN110646765A (en) * | 2019-09-26 | 2020-01-03 | 杨强 | Riemann distance-based generalized sidelobe cancellation algorithm |
CN111551935A (en) * | 2020-05-26 | 2020-08-18 | 北京无线电测量研究所 | Motion error compensation method for synthetic aperture radar |
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