Synthetic-aperture radar (SAR) imaging with range-resolved reflection data
SAR imaging may be performed with range-resolved reflection data, where a spread-spectrum signal, such as a code division multiple access (CDMA) signal, is transmitted instead of a simple frequency chirp. The reflected spread-spectrum signal may be analyzed to gather range-resolved reflection data. Range-resolved reflection data may be gathered at each angular view. This data may be used to construct a more accurate approximation of the Fourier transform of the desired image than can be done by a conventional SAR approach. The image may be reconstructed from this Fourier transform using Fourier inversion techniques similar to those used in conventional SAR approaches. The range-resolved reflection scheme generally requires somewhat more processing to recover the image as compared with conventional SAR systems, but provides a significantly more stable image with less degradation from effects that plague conventional SAR systems. This can eliminate the need for phase coherency altogether and also eliminate “phase drift,” which leads to image distortion. This may be especially well suited for high resolution imaging of relatively large targets.
1. A computer-implemented method for performing synthetic aperture radar (SAR) imaging with range-resolved reflection data, comprising:
analyzing a reflected spread-spectrum signal, by a computing system;
gathering the range-resolved reflection data from the spread-spectrum signal, by the computing system; and
constructing an approximation of a two-dimensional Fourier transform of a target's scattering function, by the computing system, wherein
the construction of the approximation is performed based on the analysis and the range-resolved reflection data.
2. The computer-implemented method of claim 1 , wherein the range-resolved reflection data from the spread-spectrum signal is gathered at each angular view of a plurality of angular views using a reflected signal received by a receiver.
3. The computer-implemented method of claim 2 , further comprising:
generating a high resolution image, by the computing system, by performing a radial Fourier transform and an angular Fourier transform at each of angular view as the angular view is gathered.
4. The computer-implemented method of claim 3 , further comprising:
generating a high resolution image, by the computing system, by improving the direct Fourier inversion with a Maximum Entropy Method.
5. The computer-implemented method of claim 1 , wherein the spread-spectrum signal is a code division multiple access (CDMA) signal, and the method further comprises:
transmitting the CDMA spread-spectrum signal, by the computing system, that reflects off one or more objects; and
receiving a reflected CDMA spread-spectrum signal, by the computing system, via a receiver, from the reflection of the transmitted CDMA spread spectrum signal for each of a plurality of angular views.
6. The computer-implemented method of claim 5 , further comprising:
obtaining reflections from reflectors in the reflected CDMA spread-spectrum signal at each angular view, by the computing system.
7. The computer-implemented method of claim 6 , further comprising:
correlating the obtained reflections, by the computing system, with a delayed version of the transmitted CDMA spread-spectrum signal to obtain range-resolved data at each angular view of the plurality of angular views, the delayed version of the transmitted CDMA signal delayed by a delay time.
8. The computer-implemented method of claim 7 , further comprising:
when a delay time is the same as the returned signal, setting a correlation number associated with the correlation to N, by the computing system; and
when the delay time is not the same, setting the correlation number to 0, by the computing system, wherein
N is a number of chips.
9. The computer-implemented method of claim 1 , further comprising:
generating a Gold code signal and multiplying the Gold code with a carrier signal, by a computing system, to obtain a phase modulated signal.
10. The computer-implemented method of claim 9 , further comprising:
transmitting the phase modulated signal that reflects off one or more objects; and
receiving reflections as the reflected spread-spectrum signal, amplifying, and splitting the reflected signal, by the computing system; and
for each split, delaying the initial Gold code by a staged delay, and mixing the delayed Gold code with the received signal, by the computing system.
11. The computer-implemented method of claim 10 , further comprising:
splitting the mixed signal and generating and a CDMA I signal and a CDMA Q signal, by the computing system, wherein
for splits where the delay corresponds to a reflection distance (τ/2c) where there is no target, I and Q are both approximately zero, and
when the delay corresponds to a distance D where there is a target, (τ/2c≅D), I and Q are nonzero, wherein
τ is a split delay and c is the speed of light.
12. The computer-implemented method of claim 1 , further comprising:
approximating a Fourier transform of a reflection function G from the range-resolved reflection data at each angular view θ of a plurality of angular views in the reflected signal to obtain an approximate function, by the computing system; and
inverting the approximate function, by the computing system.
13. The computer-implemented method of claim 1 , wherein the reflected spread spectrum signal from all reflectors within the target are seen from each view of a plurality of angular views in the reflected signal unless one or more reflectors is obscured by another reflector.
14. A computer-implemented method for performing synthetic aperture radar (SAR) imaging with range-resolved reflection data, comprising:
transmitting a code division multiple access (CDMA) spread-spectrum signal, by a computing system;
receiving a reflected CDMA spread-spectrum signal, by the computing system;
analyzing the reflected CDMA spread-spectrum signal, by a computing system;
gathering the range-resolved reflection data from the CDMA spread-spectrum signal, by the computing system;
constructing an approximation of a two-dimensional Fourier transform of a target's scattering function, by the computing system; and
generating a high resolution image, by the computing system, wherein
the range-resolved reflection data from the CDMA spread-spectrum signal is gathered at each angular view of a plurality of angular views, and
the high resolution image has a resolution of 1.5 centimeters or less, wherein
the construction of the approximation is performed based on the analysis and the range-resolved reflection data.
15. The computer-implemented method of claim 14 , further comprising:
obtaining reflections from reflectors in the reflected CDMA spread-spectrum signal at each angular view as returned signals, by the computing system; and
correlating the returned signals, by the computing system, with a delayed version of the transmitted CDMA spread-spectrum signal to obtain range-resolved data at each angular view, the delayed version of the transmitted CDMA signal delayed by a delay time.
16. The computer-implemented method of claim 15 , further comprising:
when a delay time is the same as the returned signal, setting a correlation number associated with the correlation to N, by the computing system; and
when the delay time is not the same, setting the correlation number to 0, by the computing system, wherein
N is a number of chips.
17. A computer-implemented method for performing synthetic aperture radar (SAR) imaging with range-resolved reflection data, comprising:
transmitting a code division multiple access (CDMA) spread-spectrum signal, by a computing system;
receiving a reflected CDMA spread-spectrum signal, by the computing system;
obtaining reflections from reflectors in the reflected CDMA spread-spectrum signal at each angular view as returned signals, by the computing system;
correlating the returned signals, by the computing system, with a delayed version of the transmitted CDMA spread-spectrum signal to obtain the range-resolved data at each angular view, the delayed version of the transmitted CDMA signal delayed by a delay time; and
constructing an approximation of a two-dimensional Fourier transform of a target's scattering function, by the computing system, wherein
the construction of the approximation is performed based on the analysis and the range-resolved reflection data.
18. The computer-implemented method of claim 17 , further comprising:
when a delay time is the same as the returned signal, setting a correlation number associated with the correlation to N, by the computing system; and
when the delay time is not the same, setting the correlation number to 0, by the computing system,
wherein N is a number of chips.