A sparsity-constrained sampling method with applications to communications and inverse scattering

We introduce the sparse direct sampling method (DSM) to estimate properties of a region from signals that probe region. demonstrate sparse-DSM on two separate problems: estimating both angle-of-arrival radio wave impinging an array and location shape inhomogeneity scattered acoustic waves. The is qualitative in nature, so it does not require simulation forward problem solve inverse problem. generalizes older methods, one which has low-resolution reconstructions but uses few measurements high-resolution higher measurement cost. inherits positive qualities both. technique measured simulated examples.