Response of Optimal Beamformer to Broad Angular Spectra
The response of the optimal beamformer, whose output power is (CTR-1C)-1 where R is the data covariance matrix and C a steering vector, is examined for the case that a single source produces an angular power density spectrum of the all-pole type. Such a spectrum may be an approximation to the actual power spectrum of of a source received in shallow water where random surface scattering spreads the source rays. It is shown that the all-pole matrix R is explicitly invertible and simple expressions can be obtained for the angular response of the optimal beamformer.
KeywordsSpectral Density Function Steering Vector Inverse Filter Angular Response Data Covariance Matrix
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