CN112558070B - Frequency domain imaging method and device of circular scanning foundation SAR - Google Patents

Frequency domain imaging method and device of circular scanning foundation SAR Download PDF

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CN112558070B
CN112558070B CN202110190842.8A CN202110190842A CN112558070B CN 112558070 B CN112558070 B CN 112558070B CN 202110190842 A CN202110190842 A CN 202110190842A CN 112558070 B CN112558070 B CN 112558070B
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frequency domain
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sar
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CN112558070A (en
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林赟
冯子龙
王彦平
李洋
申文杰
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North China University of Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S13/00Systems 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
    • G01S13/88Radar or analogous systems specially adapted for specific applications
    • G01S13/89Radar or analogous systems specially adapted for specific applications for mapping or imaging
    • G01S13/90Radar or analogous systems specially adapted for specific applications for mapping or imaging using synthetic aperture techniques, e.g. synthetic aperture radar [SAR] techniques
    • G01S13/904SAR modes
    • G01S13/9056Scan SAR mode
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S13/00Systems 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
    • G01S13/88Radar or analogous systems specially adapted for specific applications
    • G01S13/89Radar or analogous systems specially adapted for specific applications for mapping or imaging
    • G01S13/90Radar or analogous systems specially adapted for specific applications for mapping or imaging using synthetic aperture techniques, e.g. synthetic aperture radar [SAR] techniques
    • G01S13/9004SAR image acquisition techniques
    • G01S13/9011SAR image acquisition techniques with frequency domain processing of the SAR signals in azimuth
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S13/00Systems 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
    • G01S13/88Radar or analogous systems specially adapted for specific applications
    • G01S13/89Radar or analogous systems specially adapted for specific applications for mapping or imaging
    • G01S13/90Radar or analogous systems specially adapted for specific applications for mapping or imaging using synthetic aperture techniques, e.g. synthetic aperture radar [SAR] techniques
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Abstract

The invention discloses a frequency domain imaging method and a frequency domain imaging device of a circular scanning foundation SAR, wherein the method comprises the following steps: carrying out distance inverse Fourier transform on the echo signals of the circular scanning foundation SAR to obtain distance compression time domain signals; resampling the distance compressed time domain signal according to a preset first distance sampling interval and a geometrical corresponding relation; carrying out distance direction Fourier transform and azimuth direction Fourier transform to obtain a distance frequency domain and azimuth direction frequency domain signal; carrying out azimuth matching filtering on the distance frequency domain azimuth frequency domain signal according to a pre-constructed matching filtering function to obtain a signal after matching filtering; performing two-dimensional inverse Fourier transform on the matched and filtered signals to obtain a focused image under a polar coordinate system; the method and the device can improve the imaging efficiency while ensuring the imaging quality and realize rapid real-time imaging.

Description

Frequency domain imaging method and device of circular scanning foundation SAR
Technical Field
The invention relates to the technical field of ground SAR three-dimensional imaging, in particular to a frequency domain imaging method and a frequency domain imaging device of a circular scanning ground SAR.
Background
In recent years, a Ground-based Synthetic Aperture Radar (GBSAR) is widely applied to the fields of landslide monitoring, volcanic monitoring, glacier monitoring, open-pit mine monitoring, bridge and building monitoring, and the like. However, the conventional linear orbit (GBSAR) can only acquire two-dimensional images, has the problem of overlapping and covering in a topographic relief area, is not suitable for complex terrains, and cannot acquire three-dimensional topographic information of a monitoring scene.
The circular scanning ground SAR is a new system ground SAR with three-dimensional imaging capability. Compared with the traditional linear track ground SAR, the circular scanning ground SAR antenna forms a circular track vertical to the ground through the rotation of the cantilever, so that a two-dimensional synthetic aperture is formed, and the altitude information is acquired to realize three-dimensional imaging. Therefore, the landslide monitoring system has the advantages of being convenient and fast in system structure, fast in data acquisition and strong in landslide monitoring timeliness.
The difficulty in circular scanning ground-based SAR imaging is that the antenna motion trajectory is an arc. Due to the special motion track, the conventional frequency domain imaging method is not suitable for circular scanning ground SAR. The airborne circumferential SAR carries out imaging by transmitting signals to the inner side of the flight path; cantilever scanning (ArcSAR) is parallel to the ground and imaging is performed by transmitting signals to the outside. And the circular scanning ground SAR is vertical to the ground and transmits signals in the forward direction, which is different from the imaging mode of the signals. Although the time domain imaging method is suitable for a circular scanning ground-based SAR system and can obtain a high-precision imaging result, the time domain imaging method is large in calculation amount and low in imaging efficiency, and rapid real-time imaging is difficult to realize.
Therefore, there is a need for a frequency domain imaging scheme for circular scanning ground-based SAR that can overcome the above-mentioned problems.
Disclosure of Invention
The embodiment of the invention provides a frequency domain imaging method of a circular scanning foundation SAR, which is used for carrying out frequency domain imaging of the circular scanning foundation SAR, improving imaging efficiency while ensuring imaging quality and realizing rapid real-time imaging, and comprises the following steps:
obtaining echo signals of a circumferential scanning ground SAR;
carrying out distance inverse Fourier transform on the echo signal of the circular scanning ground SAR to obtain a distance compression time domain signal;
resampling the distance compressed time domain signal according to a preset first distance sampling interval and a geometrical corresponding relation;
performing distance direction Fourier transform and azimuth direction Fourier transform on the resampled distance compression time domain signal to obtain a distance frequency domain and azimuth direction frequency domain signal;
carrying out azimuth matching filtering on the distance frequency domain and azimuth frequency domain signals according to a pre-constructed matching filtering function to obtain matched filtered signals, wherein the matching filtering function is pre-constructed according to a conjugate algorithm;
performing two-dimensional inverse Fourier transform on the matched and filtered signals to obtain a focused image under a polar coordinate system;
performing interpolation processing on the focused image under the polar coordinate system to obtain a focused image under a rectangular coordinate system;
and performing frequency domain imaging of the circumferential scanning foundation SAR according to the focused image under the rectangular coordinate system.
The embodiment of the invention provides a frequency domain imaging device of a circular scanning foundation SAR, which is used for carrying out frequency domain imaging of the circular scanning foundation SAR, improving imaging efficiency while ensuring imaging quality and realizing rapid real-time imaging, and comprises:
the echo signal acquisition module is used for acquiring echo signals of the circumferential scanning ground SAR;
the first transformation module is used for carrying out distance inverse Fourier transformation on the echo signal of the circular scanning ground SAR to obtain a distance compression time domain signal;
the resampling module is used for resampling the distance compressed time domain signal according to a preset first distance sampling interval and a geometrical corresponding relation;
the second transformation module is used for carrying out distance direction Fourier transformation and azimuth direction Fourier transformation on the resampled distance compression time domain signal to obtain a distance frequency domain and azimuth direction frequency domain signal;
the matched filtering module is used for carrying out azimuth matched filtering on the distance frequency domain and azimuth frequency domain signals according to a pre-constructed matched filtering function to obtain matched filtered signals, and the matched filtering function is pre-constructed according to a conjugate algorithm;
the third transformation module is used for performing two-dimensional inverse Fourier transformation on the matched and filtered signals to obtain a focused image under a polar coordinate system;
the interpolation processing module is used for carrying out interpolation processing on the focused image under the polar coordinate system to obtain a focused image under a rectangular coordinate system;
and the frequency domain imaging module is used for carrying out frequency domain imaging of the circumferential scanning foundation SAR according to the focused image under the rectangular coordinate system.
The embodiment of the invention also provides computer equipment which comprises a memory, a processor and a computer program which is stored on the memory and can run on the processor, wherein the processor executes the frequency domain imaging method of the circular scanning ground-based SAR.
An embodiment of the present invention further provides a computer-readable storage medium, which stores a computer program for executing the frequency domain imaging method of the circular scanning ground-based SAR described above.
The embodiment of the invention obtains the echo signal of the circular scanning ground SAR; carrying out distance inverse Fourier transform on the echo signal of the circular scanning ground SAR to obtain a distance compression time domain signal; resampling the distance compressed time domain signal according to a preset first distance sampling interval and a geometrical corresponding relation; performing distance direction Fourier transform and azimuth direction Fourier transform on the resampled distance compression time domain signal to obtain a distance frequency domain and azimuth direction frequency domain signal; carrying out azimuth matching filtering on the distance frequency domain and azimuth frequency domain signals according to a pre-constructed matching filtering function to obtain matched filtered signals, wherein the matching filtering function is pre-constructed according to a conjugate algorithm; performing two-dimensional inverse Fourier transform on the matched and filtered signals to obtain a focused image under a polar coordinate system; performing interpolation processing on the focused image under the polar coordinate system to obtain a focused image under a rectangular coordinate system; and performing frequency domain imaging of the circumferential scanning foundation SAR according to the focused image under the rectangular coordinate system. According to the embodiment of the invention, the echo signals are converted from the inclined plane to the imaging plane through resampling, the signal data are converted, and the target is focused in the frequency domain through Fourier transform, so that the calculation efficiency is high, the imaging speed is high, and the real-time imaging is convenient, therefore, the imaging efficiency is improved while the imaging quality is ensured, and the rapid real-time imaging of the scene is realized.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts. In the drawings:
FIG. 1 is a schematic diagram of a frequency domain imaging method of a circular scanning ground-based SAR according to an embodiment of the present invention;
FIG. 2 is a schematic imaging geometry diagram of a circular scanning ground-based SAR imaging mode in an embodiment of the present invention;
FIG. 3 is a schematic diagram of a geometric model of an imaging plane according to an embodiment of the present invention;
fig. 4 is a structural diagram of a frequency domain imaging device of a circular scanning ground-based SAR in an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the embodiments of the present invention are further described in detail below with reference to the accompanying drawings. The exemplary embodiments and descriptions of the present invention are provided to explain the present invention, but not to limit the present invention.
In order to perform frequency domain imaging of a circular scanning ground based SAR, improve imaging efficiency while ensuring imaging quality, and achieve fast real-time imaging, an embodiment of the present invention provides a frequency domain imaging method of a circular scanning ground based SAR, as shown in fig. 1, the method may include:
101, obtaining an echo signal of a circular scanning ground SAR;
102, performing distance inverse Fourier transform on the echo signal of the circular scanning ground-based SAR to obtain a distance compression time domain signal;
103, resampling the distance compressed time domain signal according to a preset first distance sampling interval and a geometrical corresponding relation;
104, performing distance direction Fourier transform and azimuth direction Fourier transform on the resampled distance compressed time domain signal to obtain a distance frequency domain and azimuth direction frequency domain signal;
105, performing azimuth matching filtering on the distance frequency domain and azimuth frequency domain signal according to a pre-constructed matching filtering function to obtain a signal after matching filtering, wherein the matching filtering function is pre-constructed according to a conjugate algorithm;
106, performing two-dimensional inverse Fourier transform on the matched and filtered signal to obtain a focused image under a polar coordinate system;
step 107, carrying out interpolation processing on the focused image under the polar coordinate system to obtain a focused image under a rectangular coordinate system;
and 108, performing frequency domain imaging of the circular scanning foundation SAR according to the focused image in the rectangular coordinate system.
As shown in fig. 1, the embodiment of the present invention obtains the echo signal of the circular scanning ground-based SAR; carrying out distance inverse Fourier transform on the echo signal of the circular scanning ground SAR to obtain a distance compression time domain signal; resampling the distance compressed time domain signal according to a preset first distance sampling interval and a geometrical corresponding relation; performing distance direction Fourier transform and azimuth direction Fourier transform on the resampled distance compression time domain signal to obtain a distance frequency domain and azimuth direction frequency domain signal; carrying out azimuth matching filtering on the distance frequency domain and azimuth frequency domain signals according to a pre-constructed matching filtering function to obtain matched filtered signals, wherein the matching filtering function is pre-constructed according to a conjugate algorithm; performing two-dimensional inverse Fourier transform on the matched and filtered signals to obtain a focused image under a polar coordinate system; performing interpolation processing on the focused image under the polar coordinate system to obtain a focused image under a rectangular coordinate system; and performing frequency domain imaging of the circumferential scanning foundation SAR according to the focused image under the rectangular coordinate system. According to the embodiment of the invention, the echo signals are converted from the inclined plane to the imaging plane through resampling, the signal data are converted, and the target is focused in the frequency domain through Fourier transform, so that the calculation efficiency is high, the imaging speed is high, and the real-time imaging is convenient, therefore, the imaging efficiency is improved while the imaging quality is ensured, and the rapid real-time imaging of the scene is realized.
The difficulty of imaging of the circular scanning ground-based SAR system is that the motion track of the antenna is an arc line vertical to the ground, large-scale imaging is carried out by forward scanning observation, and the imaging difficulty is increased by the special motion track. The existing imaging method is a Back Projection (BP) method, which divides an imaging area into grid points, determines a pixel value according to echo time delay of each grid point and an antenna, and performs coherent superposition on the pixel values acquired by the antenna at 360 degrees, thereby realizing imaging. Although the imaging precision is high, the calculation amount is huge, the imaging efficiency is low, and the rapid real-time imaging is difficult to realize.
Fig. 2 is an imaging geometry of a circular scanning ground-based SAR imaging mode, and fig. 3 is an imaging plane geometry model, i.e., a side view of fig. 2.aFor radar phase centre, antenna passing through cantileverOaRotate along a horizontal central axis to formOCircular scanning is carried out on the front scene for a circular motion track of a rotation center,X-Y-Zin a rectangular coordinate system, the length (i.e., the radius of the track) of the cantilever isLThe phase center is rotated by an angle of
Figure 913525DEST_PATH_IMAGE001
I.e. the azimuth direction of the system.PFor a predetermined point target, in the plane as shown in FIG. 2Z p The above. The vertical distance between the plane of the point target and the motion track of the antenna isZ p . Instantaneous slope distance between point target and phase center isR n I.e. the distance direction of the system. The embodiment of the invention projects the motion track of the antenna to a two-dimensional plane where the point target is located, as shown in fig. 3. Point target and phase center projectionaIs an instantaneous distance ofr gp Each instant slope distanceR n All corresponding to an instantaneous distance of the imaging planer gp According to the corresponding relation, the conversion of the oblique plane echo signal data and the imaging plane signal data can be completed, thereby realizing the plane where the point target is positionedZ p Two-dimensional imaging of (2). Change differentlyZ p Two-dimensional imaging of different distance planes can be completed, and therefore three-dimensional imaging of a scene is achieved.
In an embodiment, echo signals of a circumferentially scanned ground-based SAR are obtained.
In specific implementation, the spatial position coordinate of the phase center is set as (x n y n z n ) Wherein
Figure 909294DEST_PATH_IMAGE002
Wherein,
Figure 220189DEST_PATH_IMAGE003
is the angle by which the phase center is rotated,Lthe radius of rotation of the phase center. Point targetPHas a spatial position coordinate of (x n y n z n ) Instantaneous slope distance of point target from phase centerR n Can be expressed as:
Figure 146557DEST_PATH_IMAGE004
is provided withKThe slant plane distance wavenumber can be expressed as:
Figure 695350DEST_PATH_IMAGE005
whereinfIn order to be the frequency of the signal,cis the speed of light.
The circular scanning ground SAR echo signal is defined as
Figure 799703DEST_PATH_IMAGE006
Expressed as:
Figure 863474DEST_PATH_IMAGE007
in the embodiment, the distance inverse Fourier transform is performed on the echo signal of the circular scanning ground SAR to obtain a distance compression time domain signal.
In specific implementation, the echo signal of the circular scanning ground-based SAR is converted into a distance compression time domain signal after distance Inverse Fourier Transform (IFT), and the distance compression time domain signal is expressed as
Figure 796795DEST_PATH_IMAGE008
Figure 793570DEST_PATH_IMAGE009
Wherein,rrepresenting the distance of the point target to the radar phase center,B r is the bandwidth of the signal(s),K c is the center wave number.
In an embodiment, the distance compressed time domain signal is resampled according to a preset first distance sampling interval and a geometrical correspondence.
In this embodiment, the geometric correspondence is preset according to a projection distance from the point target to the radar on the plane, a distance from the point target to a radar phase center, and a vertical distance between the plane where the point target is located and the antenna motion track.
In specific implementation, the geometric correspondence relationship is as follows:
Figure 65895DEST_PATH_IMAGE010
in this embodiment, the first distance sampling interval is preset according to a maximum wave number corresponding to a distance from the point target to a radar phase center, a maximum wave number corresponding to a projection distance from the point target to the radar on a plane, and a beam incident angle.
In specific implementation, the distance compression time domain signal is resampled, and the conversion of echo data from an inclined plane to an imaging plane is realized. The process is realized by one-dimensional interpolation, and the geometric correspondence relationship can be used for
Figure 882541DEST_PATH_IMAGE011
The resampling is as follows.
Figure 353974DEST_PATH_IMAGE012
Original skew distance in interpolationR n Can be rewritten as:
Figure 408518DEST_PATH_IMAGE013
wherein,r g is a point target to radarz p Distance projected on a plane. Will be provided with
Figure 385832DEST_PATH_IMAGE014
Multiplying by a phase shift function to shift the time domain signal to a correct position to obtain a resampled distance compressed time domain signal:
Figure 158616DEST_PATH_IMAGE015
wherein,B rg for the bandwidth corresponding to the imaging plane,r gp the instantaneous distance of the point target from the phase center projection. The bandwidth corresponding to the imaging plane is:
Figure 964898DEST_PATH_IMAGE016
wherein,
Figure 139527DEST_PATH_IMAGE017
the beam incident angle is changed along with the rotation of the phase center, but the rotation radius of the ground SAR is scanned due to the circleLFar shorter than the detection range of radar, the phase centre being caused at different angles of rotation
Figure 756585DEST_PATH_IMAGE017
The change of (A) can be ignored, and when actual data is processed, the data will be processed
Figure 16665DEST_PATH_IMAGE017
As the center of rotationOThe angle to the imaging area. As in fig. 3, the image area radius is set to
Figure 829900DEST_PATH_IMAGE018
Wherein,X 1representsSet by personz p Radius of the imaging area on the plane, then:
Figure 859036DEST_PATH_IMAGE019
then, from the above, we obtain:
Figure 161841DEST_PATH_IMAGE020
wherein,K maxandK gmaxare respectively connected withrAndr g the corresponding maximum wave number.
Thus, at the interpolated grid setting, the distance sampling interval of the imaging planed rg The following formula is required:
Figure 659950DEST_PATH_IMAGE021
in the embodiment, distance direction Fourier transformation and azimuth direction Fourier transformation are carried out on the re-sampled distance compressed time domain signal to obtain a distance frequency domain and azimuth direction frequency domain signal.
In specific implementation, the resampling is completed and the sampling is performed
Figure 276876DEST_PATH_IMAGE022
Distance Fourier Transform (FT) is carried out to obtain distance frequency domain-azimuth time domain signals
Figure 160518DEST_PATH_IMAGE023
Figure 899804DEST_PATH_IMAGE024
Wherein,K g is prepared by reacting withr g Corresponding to the wave number of the imaging plane, the instantaneous distance of the point target from the phase center projection
Figure 868897DEST_PATH_IMAGE025
In the embodiment, the azimuth matching filtering is performed on the distance frequency domain and azimuth frequency domain signal according to a pre-constructed matching filtering function to obtain a signal after matching filtering, and the matching filtering function is pre-constructed according to a conjugate algorithm.
In the specific implementation process, the first-stage reactor,r gp angle of rotation with phase center
Figure 23935DEST_PATH_IMAGE026
There is an approximately sinusoidal fluctuation.R 0Is a point targetPTo the center of the trackOThe distance of (c). According to the cosine theorem, it can be known that:
Figure 775466DEST_PATH_IMAGE027
wherein,Lin order to obtain the radius of the radar rotation track,L= R 0therefore, will be in data processingr gp The approximation is taken as:
Figure 685653DEST_PATH_IMAGE028
the phase error before and after approximation cannot exceed
Figure 142042DEST_PATH_IMAGE029
Corresponding to the distance error
Figure 897509DEST_PATH_IMAGE030
Namely:
Figure 693426DEST_PATH_IMAGE031
Figure 259668DEST_PATH_IMAGE032
wherein,f c the error introduced by this term depends on the center frequencyR 0The size of the error can be known by numerical simulation analysis,R 0the larger the error, the smaller the error, thus found
Figure 468932DEST_PATH_IMAGE033
Corresponding critical value
Figure 28090DEST_PATH_IMAGE034
The imaging area range applicable to the method can be limitedR x Comprises the following steps:
Figure 944093DEST_PATH_IMAGE035
wherein the imaging range
Figure 664925DEST_PATH_IMAGE036
Is composed of
Figure 112217DEST_PATH_IMAGE037
Corresponding critical value.
Imaging plane data
Figure 209486DEST_PATH_IMAGE038
Can be expressed as:
Figure 245576DEST_PATH_IMAGE039
the imaging plane data is subjected to an azimuth Fourier Transform (FT), and then a signal can be obtained
Figure 137308DEST_PATH_IMAGE040
Definition of
Figure 55586DEST_PATH_IMAGE041
Is prepared by reacting with
Figure 707278DEST_PATH_IMAGE026
The corresponding azimuth wave number. The signal can be expressed as:
Figure 394611DEST_PATH_IMAGE042
wherein,
Figure 722824DEST_PATH_IMAGE043
is defined as
Figure 862819DEST_PATH_IMAGE044
The fourier transform of the term, expressed as:
Figure 770732DEST_PATH_IMAGE045
the embodiment of the invention constructs a matched filter function general formula
Figure 60374DEST_PATH_IMAGE046
The item is eliminated for focusing purposes. The matched filter function is constructed according to the following formula:
Figure 825068DEST_PATH_IMAGE047
wherein,
Figure 452359DEST_PATH_IMAGE048
defined as a conjugate, of
Figure 898383DEST_PATH_IMAGE049
And
Figure 294730DEST_PATH_IMAGE050
and completing the matching filtering of the azimuth direction by multiplication:
Figure 981057DEST_PATH_IMAGE051
in the embodiment, two-dimensional inverse Fourier transform is performed on the matched and filtered signals to obtain a focusing image in a polar coordinate system.
In specific implementation, the pair
Figure 95644DEST_PATH_IMAGE052
Two-dimensional inverse Fourier transform is carried out to obtain a focused time domain signal,
Figure 79780DEST_PATH_IMAGE053
the signal is data in polar coordinate format, and a two-dimensional focusing image of the point target in a polar coordinate system can be obtained.
In the embodiment, interpolation processing is performed on the focused image in the polar coordinate system to obtain a focused image in a rectangular coordinate system.
In specific implementation, the polar coordinate format data is converted into
Figure 596212DEST_PATH_IMAGE054
Data in rectangular coordinate format
Figure 702708DEST_PATH_IMAGE055
To obtain a two-dimensional focusing image of the point target in the rectangular coordinate system, i.e. to realize the given distancez p Two-dimensional imaging of a plane. This process is implemented by two-dimensional interpolation. According to the corresponding relation between the polar coordinates and the rectangular coordinates:
Figure 55323DEST_PATH_IMAGE056
wherein,R 0is in rectangular coordinatesxyRe-representedR 0
Figure 843151DEST_PATH_IMAGE057
To use rectangular coordinatesxyRe-represented
Figure 214089DEST_PATH_IMAGE026
Thus, conversion of polar coordinate data to rectangular coordinate data can be achieved using cubic spline interpolation or two-dimensional sinc interpolation.
In the embodiment, according to the focused image under the rectangular coordinate system, frequency domain imaging of the circular scanning ground SAR is carried out.
In this embodiment, performing frequency domain imaging of a circular scanning ground based SAR according to the focused image in the rectangular coordinate system includes: and carrying out chromatographic analysis on planes with equal interval distance in the scene area according to the focused image in the rectangular coordinate system and a preset second distance sampling interval.
In specific implementation, the whole scene area is subjected to equal intervalsd z The planar imaging is repeatedly carried out on the distance plane, two-dimensional imaging is realized layer by layer, and finally three-dimensional imaging of the whole scene can be completed. Sampling intervald z The sampling rule of (1) is as follows:
the distance-wise resolution in length dimension is known as:
Figure 491487DEST_PATH_IMAGE058
then it is determined that,zresolution of direction
Figure 315086DEST_PATH_IMAGE059
Comprises the following steps:
Figure 906605DEST_PATH_IMAGE060
wherein,
Figure 882782DEST_PATH_IMAGE061
thus, the sampling intervald z Should satisfy the following conditions:
Figure 331081DEST_PATH_IMAGE062
based on the same inventive concept, the embodiment of the invention also provides a frequency domain imaging device for circular scanning ground-based SAR, as described in the following embodiments. Because the principles for solving the problems are similar to the frequency domain imaging method of the circular scanning ground-based SAR, the implementation of the device can refer to the implementation of the method, and repeated details are not repeated.
Fig. 4 is a structural diagram of a frequency domain imaging apparatus for circular scanning of a ground-based SAR according to an embodiment of the present invention, as shown in fig. 4, the apparatus includes:
an echo signal obtaining module 401, configured to obtain an echo signal of a circular scanning ground-based SAR;
a first transform module 402, configured to perform distance-to-inverse fourier transform on the echo signal of the circular scanning ground-based SAR to obtain a distance compressed time-domain signal;
a resampling module 403, configured to resample the distance compressed time domain signal according to a preset first distance sampling interval and a geometric correspondence;
a second transform module 404, configured to perform distance-to-fourier transform and azimuth-to-fourier transform on the resampled distance-compressed time-domain signal to obtain a distance-frequency-domain and azimuth-to-azimuth frequency-domain signal;
a matched filtering module 405, configured to perform azimuth matched filtering on the distance frequency domain and azimuth frequency domain signal according to a pre-configured matched filtering function to obtain a matched filtered signal, where the matched filtering function is pre-configured according to a conjugate algorithm;
a third transform module 406, configured to perform two-dimensional inverse fourier transform on the matched and filtered signal to obtain a focused image in a polar coordinate system;
an interpolation processing module 407, configured to perform interpolation processing on the focused image in the polar coordinate system to obtain a focused image in a rectangular coordinate system;
and the frequency domain imaging module 408 is configured to perform frequency domain imaging of the circular scanning foundation SAR according to the focused image in the rectangular coordinate system.
In one embodiment, the geometric correspondence is preset according to a projection distance from a point target to a radar on a plane, a distance from the point target to a radar phase center, and a vertical distance between the plane where the point target is located and an antenna motion track.
In one embodiment, the first distance sampling interval is preset according to a maximum wave number corresponding to a distance from the point target to a radar phase center, a maximum wave number corresponding to a projection distance from the point target to the radar on a plane, and a beam incident angle.
In one embodiment, the frequency domain imaging module 408 is further configured to: and carrying out chromatographic analysis on planes with equal interval distance in the scene area according to the focused image in the rectangular coordinate system and a preset second distance sampling interval.
In summary, the embodiment of the present invention obtains the echo signal of the circular scanning ground based SAR; carrying out distance inverse Fourier transform on the echo signal of the circular scanning ground SAR to obtain a distance compression time domain signal; resampling the distance compressed time domain signal according to a preset first distance sampling interval and a geometrical corresponding relation; performing distance direction Fourier transform and azimuth direction Fourier transform on the resampled distance compression time domain signal to obtain a distance frequency domain and azimuth direction frequency domain signal; carrying out azimuth matching filtering on the distance frequency domain and azimuth frequency domain signals according to a pre-constructed matching filtering function to obtain matched filtered signals, wherein the matching filtering function is pre-constructed according to a conjugate algorithm; performing two-dimensional inverse Fourier transform on the matched and filtered signals to obtain a focused image under a polar coordinate system; performing interpolation processing on the focused image under the polar coordinate system to obtain a focused image under a rectangular coordinate system; and performing frequency domain imaging of the circumferential scanning foundation SAR according to the focused image under the rectangular coordinate system. According to the embodiment of the invention, the echo signals are converted from the inclined plane to the imaging plane through resampling, the signal data are converted, and the target is focused in the frequency domain through Fourier transform, so that the calculation efficiency is high, the imaging speed is high, and the real-time imaging is convenient, therefore, the imaging efficiency is improved while the imaging quality is ensured, and the rapid real-time imaging of the scene is realized.
As will be appreciated by one skilled in the art, embodiments of the present invention may be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present invention is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
Finally, it should be noted that: the above-mentioned embodiments are only specific embodiments of the present invention, which are used for illustrating the technical solutions of the present invention and not for limiting the same, and the protection scope of the present invention is not limited thereto, although the present invention is described in detail with reference to the foregoing embodiments, those skilled in the art should understand that: any person skilled in the art can modify or easily conceive the technical solutions described in the foregoing embodiments or equivalent substitutes for some technical features within the technical scope of the present disclosure; such modifications, changes or substitutions do not depart from the spirit and scope of the embodiments of the present invention, and they should be construed as being included therein. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.

Claims (8)

1. A frequency domain imaging method of a circular scanning ground-based SAR is characterized by comprising the following steps:
obtaining echo signals of a circumferential scanning ground SAR;
carrying out distance inverse Fourier transform on the echo signal of the circular scanning ground SAR to obtain a distance compression time domain signal;
resampling the distance compressed time domain signal according to a preset first distance sampling interval and a geometrical corresponding relation, wherein the first distance sampling interval is preset according to a maximum wave number corresponding to the distance from a point target to a radar phase center, a maximum wave number corresponding to the projection distance from the point target to the radar on a plane and a beam incident angle;
performing distance direction Fourier transform and azimuth direction Fourier transform on the resampled distance compression time domain signal to obtain a distance frequency domain and azimuth direction frequency domain signal;
carrying out azimuth matching filtering on the distance frequency domain and azimuth frequency domain signals according to a pre-constructed matching filtering function to obtain matched filtered signals, wherein the matching filtering function is pre-constructed according to a conjugate algorithm;
performing two-dimensional inverse Fourier transform on the matched and filtered signals to obtain a focused image under a polar coordinate system;
performing interpolation processing on the focused image under the polar coordinate system to obtain a focused image under a rectangular coordinate system;
and performing frequency domain imaging of the circumferential scanning foundation SAR according to the focused image under the rectangular coordinate system.
2. The frequency-domain imaging method of the circular scanning ground-based SAR (synthetic aperture radar) according to claim 1, wherein the geometric correspondence is preset according to the projection distance of the point target to the radar on a plane, the distance between the point target and the radar phase center, and the vertical distance between the plane where the point target is located and the motion track of the antenna.
3. The frequency-domain imaging method of the circular scanning ground-based SAR as claimed in claim 1, wherein the performing the frequency-domain imaging of the circular scanning ground-based SAR according to the focused image under the rectangular coordinate system comprises: and carrying out chromatographic analysis on planes with equal interval distance in the scene area according to the focused image in the rectangular coordinate system and a preset second distance sampling interval.
4. A frequency domain imaging device of a circular scanning ground-based SAR is characterized by comprising:
the echo signal acquisition module is used for acquiring echo signals of the circumferential scanning ground SAR;
the first transformation module is used for carrying out distance inverse Fourier transformation on the echo signal of the circular scanning ground SAR to obtain a distance compression time domain signal;
the resampling module is used for resampling the distance compressed time domain signal according to a preset first distance sampling interval and a geometrical corresponding relation, wherein the first distance sampling interval is preset according to a maximum wave number corresponding to the distance from a point target to a radar phase center, a maximum wave number corresponding to the projection distance from the point target to a radar on a plane and a beam incident angle;
the second transformation module is used for carrying out distance direction Fourier transformation and azimuth direction Fourier transformation on the resampled distance compression time domain signal to obtain a distance frequency domain and azimuth direction frequency domain signal;
the matched filtering module is used for carrying out azimuth matched filtering on the distance frequency domain and azimuth frequency domain signals according to a pre-constructed matched filtering function to obtain matched filtered signals, and the matched filtering function is pre-constructed according to a conjugate algorithm;
the third transformation module is used for performing two-dimensional inverse Fourier transformation on the matched and filtered signals to obtain a focused image under a polar coordinate system;
the interpolation processing module is used for carrying out interpolation processing on the focused image under the polar coordinate system to obtain a focused image under a rectangular coordinate system;
and the frequency domain imaging module is used for carrying out frequency domain imaging of the circumferential scanning foundation SAR according to the focused image under the rectangular coordinate system.
5. The frequency-domain imaging device of the circular scanning ground-based SAR as claimed in claim 4, wherein the geometric correspondence is preset according to the projection distance of the point target to the radar on the plane, the distance of the point target to the radar phase center and the vertical distance of the plane where the point target is located and the antenna motion trail.
6. The frequency-domain imaging apparatus of a swept perimeter-based SAR of claim 4, wherein the frequency-domain imaging module is further to: and carrying out chromatographic analysis on planes with equal interval distance in the scene area according to the focused image in the rectangular coordinate system and a preset second distance sampling interval.
7. A computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor implements the method of any one of claims 1 to 3 when executing the computer program.
8. A computer-readable storage medium, characterized in that the computer-readable storage medium stores a computer program for executing the method of any one of claims 1 to 3.
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