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Partial differential equation-based localization of a monopole source from a circular array.

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This study introduces a new time-domain method for pinpointing monopole sound sources using circular sensor arrays. The technique accurately estimates both direction and distance, enhancing wave source localization capabilities.

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Area of Science:

  • Acoustics
  • Signal Processing
  • Array Signal Processing

Background:

  • Wave source localization is crucial for various applications.
  • Existing methods often face limitations in accuracy and computational efficiency.
  • A robust and explicit method for monopole source localization is needed.

Purpose of the Study:

  • To propose an explicit, time-domain inversion method for localizing monopole sources using a circular array.
  • To estimate both the direction and distance of the wave source.
  • To develop algorithms suitable for band-pass/differential filter banks.

Main Methods:

  • Utilized the weighted integral method for signal/source parameter estimation.
  • Derived an exact source-constraint partial differential equation for wave propagation.
  • Developed nearly closed-form, single-shot, and multishot algorithms based on circular Fourier coefficients.

Main Results:

  • The proposed method provides explicit algebraic equations for source localization.
  • Numerical evaluations and experimental results validated the method's accuracy.
  • The algorithms are effective with band-pass/differential filter banks.

Conclusions:

  • The developed time-domain inversion method offers an effective solution for monopole source localization.
  • The approach demonstrates high accuracy in estimating both direction and distance.
  • Experimental validation confirms the practical applicability of the proposed technique.