Target-depth estimation in active sonar: Cramer-Rao bounds for a bilinear sound-speed profile.

This paper develops a localization method to estimate the depth of a target in the context of active sonar, at long ranges. The target depth is tactical information for both strategy and classification purposes. The Cramer-Rao lower bounds for the target position as range and depth are derived for a bilinear profile. The influence of sonar parameters on the standard deviations of the target range and depth are studied. A localization method based on ray back-propagation with a probabilistic approach is then investigated. Monte-Carlo simulations applied to a summer Mediterranean sound-speed profile are performed to evaluate the efficiency of the estimator. This method is finally validated on data in an experimental tank.

[1]  J. Krolik,et al.  Matched-field depth estimation for active sonar. , 2004, The Journal of the Acoustical Society of America.

[2]  Arthur B. Baggeroer,et al.  An overview of matched field methods in ocean acoustics , 1993 .

[3]  Stan E Dosso,et al.  Comparison of focalization and marginalization for Bayesian tracking in an uncertain ocean environment. , 2009, The Journal of the Acoustical Society of America.

[4]  J. Virieux,et al.  Travel-time tomography in shallow water: experimental demonstration at an ultrasonic scale. , 2011, The Journal of the Acoustical Society of America.

[5]  Stathis C Stiros,et al.  Solution of underdetermined systems of equations with gridded a priori constraints , 2014, SpringerPlus.

[6]  Karl Thomas Hjelmervik.  Target depth estimating using a ray backpropagation scheme on mid-frequency active sonar data , 2010 .

[7]  M. J. Jacobson,et al.  Sound transmission in a channel with bilinear sound speed and environmental variations , 1973 .

[8]  Jean-Pierre Hermand,et al.  Backpropagation techniques in ocean acoustic inversion: Time reversal, retrogation and adjoint model-A review , 2006 .

[9]  Stan E Dosso,et al.  Bayesian focalization: quantifying source localization with environmental uncertainty. , 2007, The Journal of the Acoustical Society of America.

[10]  I-Tai Lu,et al.  A time‐domain backpropagating ray technique for source localization , 1994 .

[11]  G. H. Robertson.  Operating characteristics for a linear detector of CW signals in narrow-band Gaussian noise , 1967 .

[12]  F. Middleton,et al.  An underwater acoustic sound velocity data model , 1980 .

[13]  Loren W. Nolte,et al.  A posteriori probability source localization in an uncertain sound speed, deep ocean environment , 1991 .

[14]  Jean-Pierre Hermand,et al.  Delay-Doppler resolution performance of large time-bandwidth-product linear FM signals in a multipath ocean environment , 1988 .

[15]  I-Tai Lu.  Simultaneous Characterization of Source, Array and Environment Using A Ray Travel-Time Inversion Approach , 1997 .

[16]  I-Tai Lu,et al.  Robustness of a ray travel-time inversion approach , 1999 .

[17]  Wen Xu,et al.  System-orthogonal functions for sound speed profile perturbation , 2006, IEEE Journal of Oceanic Engineering.

[18]  C. Jauffret,et al.  TMA from bearings and multipath time delays , 1997, IEEE Transactions on Aerospace and Electronic Systems.

[19]  W A Kuperman,et al.  Focalization: environmental focusing and source localization. , 1991, The Journal of the Acoustical Society of America.