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Title: Gridless compressed sensing methods for super-resolution direction-of-arrival estimation
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.
