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http://dx.doi.org/10.7776/ASK.2014.33.4.232

Approximation of a Warship Passive Sonar Signal Using Taylor Expansion  

Hong, Wooyoung (세종대학교 국방시스템공학과)
Jung, Youngcheol (서울대학교 조선해양공학과)
Lim, Jun-Seok (세종대학교 전자공학과)
Seong, Woojae (서울대학교 조선해양공학과)
Abstract
A passive sonar of warship is composed of several directional or omni-directional sensors. In order to model the acoustic signal received into a warship sonar, the wave propagation modeling is usually required from arbitrary noise source to all sensors equipped to the sonar. However, the full calculation for all sensors is time-consuming and the performance of sonar simulator deteriorates. In this study, we suggest an asymptotic method to estimate the sonar signal arrived to sensors adjacent to the reference sensor, where it is assumed that all information of eigenrays is known. This method is developed using Taylor series for the time delay of eigenray and similar to Fraunhofer and Fresnel approximation for sonar aperture. To validate the proposed method, some numerical experiments are performed for the passive sonar. The approximation when the second-order term is kept is vastly superior. In addition, the error criterion for each approximation is provided with a practical example.
Keywords
Passive sonar; Sonar simulator; Fraunhofer approximation; Fresnel approximation; Taylor series;
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