Determining the probability of correct resolution of the left-right ambiguity in towed array sonar

Kaouri, K. ORCID: https://orcid.org/0000-0002-9850-253X and Allwright, D. J. 2017. Determining the probability of correct resolution of the left-right ambiguity in towed array sonar. European Journal of Applied Mathematics 28 (5) , pp. 716-735. 10.1017/S0956792516000498

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Abstract

When a towed sonar array is straight, it has the difficulty that it cannot distinguish a contact on the left from one at the same angle on the right. When the array is not straight and its shape known, we calculate the probability that the left–right ambiguity is resolved correctly, using the Neyman–Pearson hypothesis testing framework, assuming a delay-sum beamformer, a single-frequency contact, and Gaussian noise. We also initially consider the noise field to be uncorrelated and show that the evaluation of the probability of correct resolution reduces to evaluating a one-dimensional integral. We find, as expected, that the probability increases, as the signal-to-noise ratio and the lateral deviation of the array from straight increase. For demonstration purposes, we also evaluate the probability of correct resolution for two representative shapes the array might assume in practice. Finally, we consider a more realistic, correlated noise field and we show that the initial assumption of an uncorrelated noise field provides a good approximation when the lateral deviation of the array is sufficiently large.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Cambridge University Press
ISSN:	0956-7925
Date of First Compliant Deposit:	17 May 2018
Date of Acceptance:	2 November 2016
Last Modified:	23 Oct 2022 13:43
URI:	https://orca.cardiff.ac.uk/id/eprint/111525

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