Root-MUSIC-based azimuth-elevation angle-of-arrival estimation with uniformly spaced but arbitrarily oriented velocity hydrophones

This novel underwater acoustic azimuth-elevation source localization scheme realizes the eigenstructure-based polynomial rooting procedure for an L-sh aped uniformly spaced array of diversely oriented and possibly spatially co -located velocity hydrophones and an optional pressure hydrophone. A veloci ty hydrophone measures a Cartesian component of the acoustic particle veloc ity vector of the incident wavefield. At each uniformly spaced array grid, one or more co-located and diversely oriented velocity hydrophones and/or a pressure hydrophone are placed, with the number and orientations of veloci ty hydrophones possibly varying from grid position to grid position in some known prearranged manner. The diverse orientation of the velocity hydropho nes. however, disrupts the Vandermonde array manifold structure in each of the two uniform-linear-array legs bf the L-shaped array, Nonetheless, ingen uous mathematical manipulations proposed in this paper restore the disrupte d Vandermonde algebraic structure, thereby permitting once again the use of polynomial rooting to estimate the directions of arrival, A proposed pairi ng procedure matches each source's x-asis direction cosine estimate with it s corresponding y-axis direction cosine estimate. Simulation results verify the efficacy of the proposed scheme.