Compressive sensing and stretch processing

We investigate the applicability of sparse signal recovery techniques featured in recent compressed sensing literature to stretch processing, a widely adopted high-range resolution pulse compression technique. We present simulation results suggesting that, under certain assumptions, incorporating sparse signal recovery algorithms results in up to a 30% improvement in range resolution. In addition, we empirically study the effects of grid mismatch and the sensitivity to phase difference between closely spaced scatterers. We also analyze worst-case coherence of the derived dictionary to better understand the expected performance of a class of representative scatterer configurations.