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Designing a sparse sensor array for sound field reconstruction using compressive-equivalent source method.

Yang Shen¹, Chuan-Xing Bi¹, Xiao-Zheng Zhang¹

¹Institute of Sound and Vibration Research, Hefei University of Technology, 193 Tunxi Road, Hefei 230009, People's Republic of China.

The Journal of the Acoustical Society of America

|August 7, 2024

Summary

This summary is machine-generated.

This study introduces a new sensor array design method to improve the performance of the compressive-equivalent source method (C-ESM) for sound field reconstruction. The approach minimizes transfer matrix coherence, ensuring C-ESM accuracy with fewer sensors.

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Area of Science:

Acoustics
Signal Processing
Array Signal Processing

Background:

The compressive-equivalent source method (C-ESM) enables sound field reconstruction using fewer sensors by modeling sources as equivalent point sources.
Sufficient incoherence in the transfer matrix between sensors and equivalent sources is crucial for C-ESM performance.
Sensor array configuration significantly impacts this incoherence condition, necessitating optimized array design.

Purpose of the Study:

To propose and validate a sensor array design approach that ensures the incoherence condition required for effective C-ESM.
To minimize the mean coherence of the transfer matrix within an iterative framework for optimal sensor placement.

Main Methods:

Development of an iterative framework to design the sensor array.
Minimization of the mean coherence of the transfer matrix as the primary design objective.
Utilization of the designed sensor array with C-ESM for sound field reconstruction.

Main Results:

The proposed sensor array design approach successfully minimizes transfer matrix coherence.
The designed sensor array enhances the performance of C-ESM for sound field reconstruction.
Numerical simulations and experimental validation confirm the effectiveness and practicality of the method.

Conclusions:

Optimized sensor array design is critical for achieving the necessary incoherence for C-ESM.
The developed iterative approach provides an effective strategy for designing sensor arrays for C-ESM applications.
This work offers a practical solution for improving sound field reconstruction accuracy with reduced sensor counts.