Response of Optimal Beamformer to Broad Angular Spectra

  • J. E. Hudson
Conference paper
Part of the NATO Advanced Study Institutes Series book series (ASIC, volume 66)


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.


Spectral Density Function Steering Vector Inverse Filter Angular Response Data Covariance Matrix 
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    Lacoss R.T. ‘Data Adaptive Spectral Analysis Methods’ Geophysics 36 No. 4 (Aug. 1971) pp. 661–675CrossRefGoogle Scholar

Copyright information

© D. Reidel Publishing Company 1981

Authors and Affiliations

  • J. E. Hudson
    • 1
  1. 1.Dept. Electronic & Electr. Eng.Univ. of LoughboroughLeics.UK

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