A Novel 2-D Geometry Reconstruction Approach for Space Debris via Interpolation-Free Operation under Low SNR Conditions
Abstract
:1. Introduction
2. Imaging Model of Spinning Target and Problem Formation
3. Proposed Imaging Approach Description
3.1. Analytical Expression Derivation in RD Domain
3.2. The Proposed ISAR Imaging Method
4. A Fast Implementation of the Proposed Method and Some Remarks
4.1. Fast Implementation
- (1)
- According to (7), one extracts the range cell data for each azimuth bin in the RD domain, i.e.,
- (2)
- Zero-padding to of length 4 to achieve
- (3)
- FFT of to obtain ;
- (4)
- Phase multiplication
- (5)
- IFFT of to complete the sub-bin shift of ;
- (6)
- Coherent summation
- (7)
- Iterating step (1) to step (6) for all bins to achieve interpolation-free mapping of the full image.
4.2. Some Remarks about the Practical Application of the Proposed Method
- (a)
- Estimate the initial phase and rotation radius of all scatterers. The foregoing imaging algorithm may have already estimated these parameters.
- (b)
- According to the estimated initial phase and rotation radius a point spread function (PSF) is designed. Assuming that the coordinate of the maximum peak is , the PSF is given by
- (c)
- Using a minimum norm criterion, the scattering coefficient at is estimated by
- (d)
- Steps (a) to (c) may be biased because of the effects of sidelobes, which could affect the usage of the clean approach. The coordinate estimation in Step (c) initializes the following fine search.Using this technique, the resulting are accurate estimates of the coordinates and the reflection coefficient. Subtract the contribution of scatterer from the original signal, thus arriving at
- (e)
- Use as the new input to step (a), and repeat until convergence.
5. Simulation Results and Discussion
5.1. Imaging Results for a Single Scatterer Target
5.2. Imaging Results for Surface Targets
5.3. Imaging Results under Different SNRs Condition
5.4. Computational Complexity
6. Discussion
7. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Parameter | Value |
---|---|
Carrier frequency | 8 GHz |
Sample frequency | 6 GHz |
Transmit bandwidth | 4 GHz |
Pulse width | 1 us |
Pulse repetition frequency | 2400 Hz |
Rotating angle velocity | 6.28 rad/s |
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Luo, X.; Guo, L.; Li, D.; Liu, H.; Qin, M. A Novel 2-D Geometry Reconstruction Approach for Space Debris via Interpolation-Free Operation under Low SNR Conditions. Remote Sens. 2020, 12, 2059. https://0-doi-org.brum.beds.ac.uk/10.3390/rs12122059
Luo X, Guo L, Li D, Liu H, Qin M. A Novel 2-D Geometry Reconstruction Approach for Space Debris via Interpolation-Free Operation under Low SNR Conditions. Remote Sensing. 2020; 12(12):2059. https://0-doi-org.brum.beds.ac.uk/10.3390/rs12122059
Chicago/Turabian StyleLuo, Xi, Lixin Guo, Dong Li, Hongqing Liu, and Mengyi Qin. 2020. "A Novel 2-D Geometry Reconstruction Approach for Space Debris via Interpolation-Free Operation under Low SNR Conditions" Remote Sensing 12, no. 12: 2059. https://0-doi-org.brum.beds.ac.uk/10.3390/rs12122059