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On sparse beamformer design with reverberation
Li, Zhibao1; Yiu, Ma Fai Cedric2; Dai, Yu-Hong3
AbstractMicrophone array beamforming is one of the most important techniques to enhance the signal of interest from its observations corrupted by interference, noise and reverberation. In designing the beamformer to fulfill a desire performance, the transfer function governing sound propagation is required in the formulation. In general, the beamformer usually contains a number of FIR filters with long length behind each of microphone element, especially in reverberant environment. In order to reduce complexity, it is favourable to have many zero coefficients in the FIR filters. In this paper, we study this kind of sparse beam former design problem. We first describe the transfer function developed for reverberant environment. Then we develop an L-2 - L-i, minimization model with 0 < p < 1 for the design of sparse beamformers and introduce the smoothing Barzilai-Borwein (BB) step gradient method for solving the problem. Experimental results show that the designed beam formers achieve comparable performance with rather sparse filter coefficients. (C) 2017 Elsevier Inc. All rights reserved.
KeywordSparse beamformer design Reverberation Nonconvex optimization Smoothing approximation Smoothing BB-gradient method
Funding ProjectChinese Natural Science Foundation[11701575] ; Chinese Natural Science Foundation[11631013] ; Chinese Natural Science Foundation[71331001] ; Chinese Natural Science Foundation[11331012] ; GRF[PolyU. 152200/14E] ; PolyU Grant[4-ZZGS] ; National 973 Program of China[2015CB856002]
WOS Research AreaEngineering ; Mathematics ; Mechanics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000430037400009
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Document Type期刊论文
Corresponding AuthorYiu, Ma Fai Cedric
Affiliation1.Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
2.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Li, Zhibao,Yiu, Ma Fai Cedric,Dai, Yu-Hong. On sparse beamformer design with reverberation[J]. APPLIED MATHEMATICAL MODELLING,2018,58:98-110.
APA Li, Zhibao,Yiu, Ma Fai Cedric,&Dai, Yu-Hong.(2018).On sparse beamformer design with reverberation.APPLIED MATHEMATICAL MODELLING,58,98-110.
MLA Li, Zhibao,et al."On sparse beamformer design with reverberation".APPLIED MATHEMATICAL MODELLING 58(2018):98-110.
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