Randomized Stepped Frequency Radars Exploiting Block Sparsity of Extended Targets: A Theoretical Analysis

Randomized stepped frequency radar (RSFR) is very attractive for tasks under complex electromagnetic environment. Due to the synthetic high range resolution in RSFRs, a target usually occupies series of cells and called an extended target. To reconstruct range-Doppler information RSFR, previous studies based on sparse recovery mainly exploit sparsity scene but do not adequately address extended-target characteristics, which exist many practical applications. Block sparsity, combines extension, better characterizes priori knowledge wideband RSFR. This paper RSFR reconstruction problem using block recovery. Particularly, we theoretically analyze coherence spectral norm observation matrix build bound parameters radar, exact guaranteed. Both simulation field-experiment results demonstrate superiority over conventional RSFRs.