Abstract

A constant problem is to localize a number of acoustic sources, to separate their individual signals and to estimate their strengths in a propagation medium. An acoustic receiving array with signal processing algorithms is then used. The most widely used algorithm is the conventional beamforming algorithm but it has a very low resolution and high sidelobes that may cause a signal leakage problem. Several new signal processors for arrays of sensors are derived to evaluate the strengths of acoustic signals arriving at an array of sensors. In particular, we present the covariance vector estimator and the pseudoinverse of the array manifold matrix estimator. The covariance vector estimator uses only the correlations between sensors and the pseudoinverse of the array manifold matrix estimator operates with the minimum eigenvalues of the covariance matrix. Numerical and experimental results are presented.

Highlights

  • Arrays of sensors are used in many fields to detect weak signals, to estimate the bearing and the strengths of signals arriving from different directions

  • We propose array processing algorithms which are useful in identifying acoustic sources in the far field of the array

  • This study focuses on developing estimators which are used to identify the distribution of signal power generated by acoustic sources

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Summary

Introduction

Arrays of sensors are used in many fields to detect weak signals, to estimate the bearing and the strengths of signals arriving from different directions. We propose array processing algorithms which are useful in identifying acoustic sources in the far field of the array. This study focuses on developing estimators which are used to identify the distribution of signal power generated by acoustic sources.

Signal Representation and Sensor Output Covariance Matrix
Conventional Beamformer
Minimum Variance Beamformer
Signal Power Estimation by the Covariance Vector Estimator
Signal Power Estimation by the Pseudo-Inverse of the Array Manifold Matrix
Numerical and Experimental Results
Conclusions

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