Acta Scientific Computer Sciences (ASCS)

Review Article Volume 2 Issue 2

Underwater Acoustic Localization Using Nonlinear Processing

Nikolaos I Xiros*

Naval Architecture and Marine Engineering at the University of New Orleans, Louisiana, USA

*Corresponding Author: Nikolaos I Xiros, Naval Architecture and Marine Engineering at the University of New Orleans, Louisiana, USA.

Received: December 17, 2019; Published: January 10, 2020



  The synthesis of coupled systems including linear propagation media and nonlinear lumped subsystems is investigated. The resulting coupled system is expected to exhibit improved dynamic behavior. Such improvements are sought after by designing exclusively the lumped nonlinear subsystem and not by modifying the propagation medium. The lumped subsystem can be static or dynamic as well as passive or active. The design method is based on the Volterra-Wiener theory of nonlinear systems combined with the Linear Fractional Transformation employed for the analysis of uncertain linear systems. Although the techniques are applicable to a variety of practical engineering and physical systems, this work addresses acoustic source localization. Indeed, a moving acoustic source can be considered to nonlinearly modify the characteristics of a carrier acoustic wave. Such an acoustic carrier might be a monochromatic or polychromatic tone as well as other broadband signals such as band-limited white or colored noise. The sound source position signal is propagated through a nonlinear operator and then, under noise-free environment assumptions, determines the sound pressure level at the receiver location. In this paper, the proposed method is applied to the simplified case of a one-dimensional acoustic cavity defined by totally reflective barriers. Furthermore, the lossless wave equation is assumed to govern the sound pressure level in the homogeneous domain of interest. However, even in this simple scenario, only the additional assumptions of negligible source velocity and acceleration allow the derivation of an expression for the sound pressure level containing exclusively source displacement. In this context, simulation data series or analytical solutions, approximate or exact, are post-processed in order to determine the Volterra kernels, which effectively are a convenient extension of the impulse response concept in the nonlinear case, of the operator connecting source displacement to sound pressure level at the receiver. The outcome is Linear Time Invariant models depicting the dominant sound propagation dynamics. Then the synthesis stage is based on the properties of interconnected nonlinear systems that are described in the Volterra-Wiener framework. By using such properties, the signal processing algorithm for the estimation of the acoustic source position based on the received sound pressure level is finally developed.

Keywords: Linear Systems; Frequency; Acoustic Pressure



  1. Antoulas AC. Approximation of Large-Scale Dynamical Systems, SIAM, Philadelphia, USA (2005).
  2. Rugh WJ. Nonlinear System Theory; The Volterra/Wiener Approach, The John Hopkins University Press, USA (1981).
  3. Xiros NI and Georgiou IT. “A Combined Method for the Investigation of Coupled Bandpass-Lowpass Nonlinear Oscillators Based on Hilbert Transform and Perturbation Analysis”. Proc. 28th International Mechanical Engineering Congress and Exposition, Chicago, USA, Paper No. IMECE2006-13903 (2006).
  4. Haykin S. Communication Systems (4th ed.). Wiley, USA (2000).
  5. Shanmugam, KS. Digital and Analog Communication Systems. John Wiley and Sons, USA (1979).
  6. Proakis JG and Manolakis DG. Digital Signal Processing; Principles, Algorithms and Applications (3rd ed.). Prentice-Hall, USA (1996).
  7. Bose NK. Digital Filters; Theory and Applications. North-Holland, USA (1985).


Citation: Nikolaos I Xiros. “Underwater Acoustic Localization Using Nonlinear Processing”. Acta Scientific Computer Sciences 2.2 (2020): 01-08.

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