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Proceedings Paper

Array Manifold Effects In Signal Subspace Techniques
Author(s): Jeffrey M. Speiser; Hal Arnold
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Paper Abstract

This paper examines the effect of array geometry on signal detection and signal estimation using the Schmidt MUSIC algorithm and related techniques. Upper and lower bounds are found for the separation between signal and noise eigenvalues as a function of the eigenvalues of the beam response matrix and the source correlation matrix. It is shown that the condition number of the steering phase shift matrix is determined almost entirely by its smallest singular value. Limited numerical evaluations for planar arrays suggest that the smallest singular value is determined by arrival spacing relative to array aperture, and is insensitive to the details of the array geometry. For the special case when all arrivals are closely spaced, it is shown that the steering phase shift matrix is the product of a Vandermonde matrix depending on the arrival spacing with a second matrix determined by the array geometry.

Paper Details

Date Published: 14 November 1989
PDF: 11 pages
Proc. SPIE 1152, Advanced Algorithms and Architectures for Signal Processing IV, (14 November 1989); doi: 10.1117/12.962280
Show Author Affiliations
Jeffrey M. Speiser, Naval Ocean Systems Center (United States)
Hal Arnold, Naval Ocean Systems Cente (United States)

Published in SPIE Proceedings Vol. 1152:
Advanced Algorithms and Architectures for Signal Processing IV
Franklin T. Luk, Editor(s)

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