Grid-free compressive beamforming

Angeliki Xenaki, Peter Gerstoft
<span title="">2015</span> <i title="Acoustical Society of America (ASA)"> <a target="_blank" rel="noopener" href="" style="color: black;">Journal of the Acoustical Society of America</a> </i> &nbsp;
The direction-of-arrival (DOA) estimation problem involves the localization of a few sources from a limited number of observations on an array of sensors, thus it can be formulated as a sparse signal reconstruction problem and solved efficiently with compressive sensing (CS) to achieve high-resolution imaging. On a discrete angular grid, the CS reconstruction degrades due to basis mismatch when the DOAs do not coincide with the angular directions on the grid. To overcome this limitation, a
more &raquo; ... nuous formulation of the DOA problem is employed and an optimization procedure is introduced, which promotes sparsity on a continuous optimization variable. The DOA estimation problem with infinitely many unknowns, i.e., source locations and amplitudes, is solved over a few optimization variables with semidefinite programming. The grid-free CS reconstruction provides high-resolution imaging even with non-uniform arrays, single-snapshot data and under noisy conditions as demonstrated on experimental towed array data.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="">doi:10.1121/1.4916269</a> <a target="_blank" rel="external noopener" href="">pmid:25920844</a> <a target="_blank" rel="external noopener" href="">fatcat:244xdnlqbfholnltqonkswxdsi</a> </span>
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