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)

Abstract

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.

Keywords

Covariance Autocorrelation Geophysics Acoustics 

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References

  1. 1.
    Wise J. ‘The Autocorrelation function and the Spectral Density Function’. Biometrica 42 (1955) pp. 151–159Google Scholar
  2. 2.
    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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