Please use this identifier to cite or link to this item: http://ktisis.cut.ac.cy/handle/10488/10512
Title: Determining the probability of correct resolution of the left-right ambiguity in towed array sonar
Authors: Kaouri, Katerina 
Allwright, David J. 
Keywords: 62F03 (Hypothesis testing);62P30 (applications in engineering and mathematics);94B70 (error probability);74J05 (linear waves)
Category: Mathematics
Field: Natural Sciences
Issue Date: 1-Oct-2017
Publisher: CAMBRIDGE UNIVERSITY PRESS
Source: EUROPEAN JOURNAL OF APPLIED MATHEMATICS, Volume: 28, Issue: 5, Pages: 716-735, 2017
metadata.dc.doi: http://dx.doi.org/10.1017/S0956792516000498
Journal: European Journal of Applied Mathematics
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.
URI: http://ktisis.cut.ac.cy/handle/10488/10512
ISSN: 0956-7925
Rights: © Cambridge University Press 2016
Type: Article
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