Committee: 

Dr. McClellan, Advisor  

Dr. Lanterman, Chair

Dr. Davenport

Abstract:

The objective of the proposed research is to develop gridless super-resolution direction-of-arrival estimation methods for arbitrary array geometries by exploiting sparsity in the continuous angle domain to eliminate the offgrid problem associated with grid-based compressed sensing methods. Making use of the periodicity of the array manifold, the dual function for the infinite-dimensional primal atomic norm minimization problem is represented as a trigonometric polynomial via truncated Fourier series. The dual problem is then converted to a finite semidefinite program, and the source directions are recovered through polynomial rooting. The proposed approach is used to design search-free gridlessmethods applicable for coherent sources, limited snapshots, one-bit sensor measurements, and wideband sources. The performance of the method is evaluated by computer simulations for various array geometries and parameters.