Please use this identifier to cite or link to this item:
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, 2017, vol. 28, no. 5, pp. 716-735
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.
ISSN: 0956-7925
DOI: 10.1017/S0956792516000498
Collaboration : Cyprus University of Technology
University of Oxford
Rights: © Cambridge
Type: Article
Appears in Collections:Άρθρα/Articles

CORE Recommender
Show full item record

Citations 20

checked on May 25, 2020

Page view(s) 20

Last Week
Last month
checked on May 23, 2020

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.