Efficient convex optimization for real-time robust beamforming with microphone arrays

Eric Durant; Ivo Merks; Bill Woods; Jinjun Xiao; Tao Zhang; Zhi-Quan Luo

doi:10.1109/ICASSP.2011.5947031

Efficient convex optimization for real-time robust beamforming with microphone arrays

Eric Durant, Ivo Merks, Bill Woods, Jinjun Xiao, Tao Zhang, Zhi-Quan Luo

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper presents an efficient implementation of a robust adaptive beamforming algorithm based on convex optimization for applications in the processing-constrained environment of a digital hearing aid. Several modifications of the standard interior point barrier method are introduced for use where the array data covariance matrix is changing rapidly relative to the algorithm's convergence rate. These efficiency improvements significantly simplify the computation without affecting the algorithm's fast convergence, and are useful for real-time adaptive beamforming regardless of the rate of array correlation change. Simulation results show that this implementation is numerically stable and succeeds where many minimum-variance distortionless response (MVDR) solutions fail.

Original language	English (US)
Title of host publication	2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings
Pages	2656-2659
Number of pages	4
DOIs	https://doi.org/10.1109/ICASSP.2011.5947031
State	Published - Aug 18 2011
Event	36th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Prague, Czech Republic Duration: May 22 2011 → May 27 2011

Other

Other	36th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011
Country/Territory	Czech Republic
City	Prague
Period	5/22/11 → 5/27/11

Keywords

acoustic beamforming
adaptive directionality
barrier method
hearing aids
second-order cone programming

Publisher link

10.1109/ICASSP.2011.5947031

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Durant, E, Merks, I, Woods, B, Xiao, J, Zhang, T & Luo, Z-Q 2011, Efficient convex optimization for real-time robust beamforming with microphone arrays. in 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings., 5947031, pp. 2656-2659, 36th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011, Prague, Czech Republic, 5/22/11. https://doi.org/10.1109/ICASSP.2011.5947031

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title = "Efficient convex optimization for real-time robust beamforming with microphone arrays",

abstract = "This paper presents an efficient implementation of a robust adaptive beamforming algorithm based on convex optimization for applications in the processing-constrained environment of a digital hearing aid. Several modifications of the standard interior point barrier method are introduced for use where the array data covariance matrix is changing rapidly relative to the algorithm's convergence rate. These efficiency improvements significantly simplify the computation without affecting the algorithm's fast convergence, and are useful for real-time adaptive beamforming regardless of the rate of array correlation change. Simulation results show that this implementation is numerically stable and succeeds where many minimum-variance distortionless response (MVDR) solutions fail.",

keywords = "acoustic beamforming, adaptive directionality, barrier method, hearing aids, second-order cone programming",

author = "Eric Durant and Ivo Merks and Bill Woods and Jinjun Xiao and Tao Zhang and Zhi-Quan Luo",

year = "2011",

month = aug,

day = "18",

doi = "10.1109/ICASSP.2011.5947031",

language = "English (US)",

isbn = "9781457705397",

pages = "2656--2659",

booktitle = "2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings",

note = "36th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 ; Conference date: 22-05-2011 Through 27-05-2011",

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AU - Durant, Eric

AU - Merks, Ivo

AU - Woods, Bill

AU - Xiao, Jinjun

AU - Zhang, Tao

AU - Luo, Zhi-Quan

PY - 2011/8/18

Y1 - 2011/8/18

N2 - This paper presents an efficient implementation of a robust adaptive beamforming algorithm based on convex optimization for applications in the processing-constrained environment of a digital hearing aid. Several modifications of the standard interior point barrier method are introduced for use where the array data covariance matrix is changing rapidly relative to the algorithm's convergence rate. These efficiency improvements significantly simplify the computation without affecting the algorithm's fast convergence, and are useful for real-time adaptive beamforming regardless of the rate of array correlation change. Simulation results show that this implementation is numerically stable and succeeds where many minimum-variance distortionless response (MVDR) solutions fail.

AB - This paper presents an efficient implementation of a robust adaptive beamforming algorithm based on convex optimization for applications in the processing-constrained environment of a digital hearing aid. Several modifications of the standard interior point barrier method are introduced for use where the array data covariance matrix is changing rapidly relative to the algorithm's convergence rate. These efficiency improvements significantly simplify the computation without affecting the algorithm's fast convergence, and are useful for real-time adaptive beamforming regardless of the rate of array correlation change. Simulation results show that this implementation is numerically stable and succeeds where many minimum-variance distortionless response (MVDR) solutions fail.

KW - acoustic beamforming

KW - adaptive directionality

KW - barrier method

KW - hearing aids

KW - second-order cone programming

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U2 - 10.1109/ICASSP.2011.5947031

DO - 10.1109/ICASSP.2011.5947031

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SN - 9781457705397

SP - 2656

EP - 2659

BT - 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings

T2 - 36th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011

Y2 - 22 May 2011 through 27 May 2011

ER -

Efficient convex optimization for real-time robust beamforming with microphone arrays

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