Quasi-fluid-mechanics-based Quasi-Bayesian Cramér-Rao bounds for deformed towed-array direction finding

New quasi-Bayesian (hybrid) Cramer-Rao bound (CRB) expressions are herein derived for far-field deep-sea direction-of-arrival (DOA) estimation with a nominally linear towed-array that 1) is deformed by spatio-temporally correlated oceanic currents, which have been previously overlooked in the towed-...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2004, Vol.52 (1), p.36-47
Main Authors: TICHAVSKY, Petr, WONG, Kainam Thomas
Format: Article
Language:English
Subjects:
Applied sciences
Correlation analysis
Cramer-Rao bounds
Deformation
Detection, estimation, filtering, equalization, prediction
Exact sciences and technology
Hydrophones
Information, signal and communications theory
Mathematical analysis
Mathematical models
Signal and communications theory
Signal, noise
Statistical analysis
Telecommunications and information theory
Towing
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Summary:New quasi-Bayesian (hybrid) Cramer-Rao bound (CRB) expressions are herein derived for far-field deep-sea direction-of-arrival (DOA) estimation with a nominally linear towed-array that 1) is deformed by spatio-temporally correlated oceanic currents, which have been previously overlooked in the towed-array shape-deformation statistical analysis literature, 2) is deformed by temporally correlated motion of the towing vessel, which is modeled only as temporally uncorrelated in prior literature, and 3) suffers gain-uncertainties and phase-uncertainties in its constituent hydrophones. This paper attempts to bridge an existing literature gap in deformed towed-array DOA-estimation performance analysis, by simultaneously a) incorporating several essential fluid-mechanics considerations to produce a shape-deformation statistical model physically more realistic than those previously used for DOA performance analysis and b) rigorously derive a mathematical analysis to characterize quantitatively and qualitatively the DOA estimation's statistical performance. The derived CRB expressions are parameterized in terms of the towed-array's physically measurable nonidealities for the single-source case. The new hybrid-CRB expressions herein derived are numerically more stable than those in the current literature.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2003.820072