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J. Phys. A: Math. Theor. 41 (14 March 2008) 105003 (13pp)   doi: 10.1088/1751-8113/41/10/105003

Target detection in shallow-water reverberation based on parameter-induced stochastic resonance


Huiquan Zhang1, Bohou Xu1, Zhong-Ping Jiang2 and Xingxing Wu2
1 Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, People's Republic of China
2 Department of Electrical and Computer Engineering, Polytechnic University, Brooklyn, NY 11201, USA
E-mail: xubohou@zju.edu.cn

Abstract. A method based on parameter-induced stochastic resonance (PSR) is proposed for the target echo detection in the presence of shallow-water reverberation. The signals received by the horizontal sensor array are first preprocessed to form the input to a bistable stochastic resonance (SR) system. The detection decision is then made by a linear correlation detector based on the output of this SR system. The performance of our proposed detection system, in terms of deflections, is derived based on the solutions to the corresponding Fokker–Planck equations (FPE). Using PSR-based techniques, the detection performance can be optimized by tuning the system parameters properly. In addition, numerical simulations are carried out to demonstrate the efficiency and detection performance of our proposed detection system with receiver operating characteristic (ROC) curves, and the results show that it has good performance under the condition of the weak signal-to-reverberation-noise ratio (SRR).

PACS numbers: 05.40.-a, 02.50.-r

Print publication: Issue 10 (14 March 2008)
Received 2 November 2007, in final form 26 January 2008
Published 26 February 2008

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