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A multistage minimum variance distortionless response beamformer for noise reduction.

Chao Pan1, Jingdong Chen1, Jacob Benesty2

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A novel multistage approach to the minimum variance distortionless response (MVDR) beamformer offers identical performance in uncorrelated noise but improved robustness in diffuse noise. This method significantly reduces computational complexity compared to conventional MVDR beamformers.

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Area of Science:

  • Signal Processing
  • Acoustics
  • Array Signal Processing

Background:

  • The Minimum Variance Distortionless Response (MVDR) beamformer is crucial for spatial filtering in various acoustic applications.
  • Conventional MVDR beamformers face challenges with computational complexity and performance in diffuse noise environments.

Purpose of the Study:

  • To develop a computationally efficient and robust multistage implementation of the MVDR beamformer.
  • To analyze the performance and complexity of the proposed multistage MVDR beamformer.

Main Methods:

  • A hierarchical approach dividing a microphone array into two-channel subarrays.
  • Iterative application of two-channel MVDR beamforming across multiple stages.
  • Generalization of the principle to subarrays with more than two microphones.

Main Results:

  • The multistage MVDR beamformer achieves performance equivalent to the conventional MVDR in spatially uncorrelated noise.
  • Demonstrates significantly higher white noise gain, indicating enhanced robustness in diffuse noise.
  • Exhibits a computational complexity that is an order of magnitude lower than the conventional MVDR beamformer.

Conclusions:

  • The proposed multistage MVDR beamformer offers a practical and efficient alternative to traditional methods.
  • This approach provides a favorable trade-off between performance, robustness, and computational cost.
  • The methodology is adaptable for various array configurations and noise conditions.