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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 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.
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.
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