Rate distortion bounds on passive sonar performance

Authors:
Tianzhu Meng;John R. Buck
Affiliations:
Motorola, Inc., Libertyville, IL and Department of Electrical and Computer Engineering, University of Massachusetts Dartmouth, North Dartmouth, MA;Department of Electrical and Computer Engineering, University of Massachusetts Dartmouth, North Dartmouth, MA
Venue:
IEEE Transactions on Signal Processing
Year:
2010

Citing 6
Cited 0

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Abstract

Information theory provides a novel perspective on passive sonar performance analysis. This approach begins by partitioning the search space and then considers the problem of assigning a source to the correct partition based on pressure observations from a hydrophone array. Prior work described necessary conditions for achieving arbitrarily small probability of error (Pe) as a tradeoff between signal-to-noise ratio (SNR) and the range accuracy of the partitions. This paper presents a method to extend these results using the rate-distortion function to find necessary conditions for any Pe. The Gaussian channel bound sets an upper limit on the information rate received at the array. Through the rate-distortion function, this upper limit on the information rate implies a lower bound on Pe for a given partition. Furthermore, the current work describes a tradeoff between range accuracy,Pe and SNR. Examples of this tradeoff are evaluated for both one-dimensional (bearing) and two-dimensional (range-depth) estimation problems.