We pose the range-Doppler imaging problem as a two-dimensional sparse signal recovery problem with an over complete basis. The resulting optimization problem can be solved using both ℓ₀ and ℓ₁ norm minimization algorithms. Algorithm performance and estimation quality are illustrated using artificial data set, where targets are close to each other and target SNR is low. We show that accurate target location is achieved with high resolution. In particular, compared to other state-of-art algorithms, the proposed approach is shown to achieve more robustness in noisy environment with limited data.
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