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.
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References
Wise J. ‘The Autocorrelation function and the Spectral Density Function’. Biometrica 42 (1955) pp. 151–159
Lacoss R.T. ‘Data Adaptive Spectral Analysis Methods’ Geophysics 36 No. 4 (Aug. 1971) pp. 661–675
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© 1981 D. Reidel Publishing Company
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Hudson, J.E. (1981). Response of Optimal Beamformer to Broad Angular Spectra. In: Bjørnø, L. (eds) Underwater Acoustics and Signal Processing. NATO Advanced Study Institutes Series, vol 66. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8447-9_39
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DOI: https://doi.org/10.1007/978-94-009-8447-9_39
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-8449-3
Online ISBN: 978-94-009-8447-9
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