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Performance bounds for passive sensor arrays operating in a turbulent medium: Spherical-wave analysis

J. Acoust. Soc. Am. Volume 116, Issue 2, pp. 987-1001 (2004); (15 pages)

S. L. Collier1 and D. K. Wilson2

1U.S. Army Research Laboratory, AMSRD-ARL-CI-EE, 2800 Powder Mill Road, Adelphi, Maryland 20783-1197
2U.S. Army Engineer Research and Development Center, 72 Lyme Rd., Hanover, New Hamphshire 03755-1290

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The Cramer–Rao lower bounds of the angle-of-arrival estimates for a spherical wave incident on a passive acoustic array are investigated for propagation through a turbulent medium with fluctuations described by a von Kármán spectrum. A single monochromatic source and a line-of-sight propagation path are assumed. The propagation distance, turbulence parameters (characteristic length scale and index-of-refraction variance), phase of the source, and signal-to-noise ratio are also included in the unknown parameter set. The Cramer–Rao lower bounds of the angle-of-arrival estimates are affected by the addition of the propagation distance and source phase as unknowns, and are not affected by the addition of the turbulence parameters and signal-to-noise ratio as unknowns.

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KEYWORDS and PACS

PACS

  • 43.60.Cg

    Statistical properties of signals and noise

  • 43.28.Gq

    Outdoor sound propagation and scattering in a turbulent atmosphere, and in non-uniform flow fields

ARTICLE DATA

History
Received 02 Oct 2002
Accepted 05 Apr 2004
Revised 23 Mar 2004

PUBLICATION DATA

ISSN

0001-4966 (print)  

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