Atomic Decomposition by Basis Pursuit
SIAM Review
Uniform Uncertainty Principle and Signal Recovery via Regularized Orthogonal Matching Pursuit
Foundations of Computational Mathematics
Image inpainting via sparse representation
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
A fast approach for overcomplete sparse decomposition based on smoothed l0 norm
IEEE Transactions on Signal Processing
Probing the Pareto Frontier for Basis Pursuit Solutions
SIAM Journal on Scientific Computing
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
SIAM Journal on Imaging Sciences
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
SIAM Journal on Imaging Sciences
On compressive sensing applied to radar
Signal Processing
Sparse solutions to linear inverse problems with multiple measurement vectors
IEEE Transactions on Signal Processing
Decoding by linear programming
IEEE Transactions on Information Theory
Stable recovery of sparse overcomplete representations in the presence of noise
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit
IEEE Transactions on Information Theory
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In this paper, we develop a sparse Doppler-only snapshot imaging (SDOSI) method for spinning space debris with a size of 1-10cm which can provide a high-resolution map of the spatial distribution of the scatterers on the target. The SDOSI method deals with the Doppler imaging by solving a sparse signal reconstruction problem. The basis dictionary of the signal is constructed according to the prior moving information of the debris and the spinning target return model, and the reconstruction is implemented by an effective greedy method named regularized orthogonal matching pursuit (ROMP). Furthermore, the proposed method is able to image the debris when the radar pulse repetition frequency is less than twice the Doppler bandwidth of the return signal and the shadowing effect is present. Finally, the performance of the new method is evaluated by both theoretical analysis and simulation results.