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Mode matching-based beamforming with frequency-wise truncation order for concentric circular differential microphone
Jinfu Wang1,2, Feiran Yang3, Junfeng Li4
1Key Laboratory of Noise and Vibration Research, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China.
The Journal of the Acoustical Society of America
|December 22, 2023
Summary
This study introduces a new method for designing concentric circular differential microphone arrays (CCDMAs) that balances robustness and frequency-invariant beampatterns. The novel approach offers improved performance compared to existing techniques.
Area of Science:
- Acoustics and Signal Processing
- Array Signal Processing
- Microphone Array Design
Background:
- Achieving frequency-invariant beampatterns and high white noise gain (WNG) simultaneously in fixed beamformers is challenging.
- Existing concentric circular differential microphone array (CCDMA) designs struggle to balance robustness (high WNG) with frequency-invariant beampatterns.
Purpose of the Study:
- To develop a novel method for designing CCDMAs that overcomes the limitations of existing approaches.
- To enable a trade-off between robustness and beampattern distortion in CCDMA design.
Main Methods:
- Derived a new analytical expression for the synthesized beampattern of CCDMAs without truncation error.
- Designed CCDMAs by matching mode coefficients, utilizing an adjustable truncation order for trade-offs.
- Presented a procedure for determining the frequency-wise truncation order.
Main Results:
- The proposed method allows for adjustable trade-offs between robustness and beampattern distortion.
- Demonstrated superior performance in robustness and reduced beampattern distortion via simulations.
- Unified existing methods (Jacobi-Anger, improved Jacobi-Anger, MMSE) under a fixed truncation order.
Conclusions:
- The novel analytical approach provides a unified framework for CCDMA design.
- The method offers a superior compromise between robustness and beampattern characteristics.
- This work advances the design of microphone arrays for improved acoustic signal processing.
