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Frequency-domain beamformers using conjugate gradient techniques for speech enhancement
journal contribution
posted on 2014-01-01, 00:00 authored by S Zhao, D L Jones, Sui Yang KhooSui Yang Khoo, Z ManA multiple-iteration constrained conjugate gradient (MICCG) algorithm and a single-iteration constrained conjugate gradient (SICCG) algorithm are proposed to realize the widely used frequency-domain minimum-variance-distortionless-response (MVDR) beamformers and the resulting algorithms are applied to speech enhancement. The algorithms are derived based on the Lagrange method and the conjugate gradient techniques. The implementations of the algorithms avoid any form of explicit or implicit autocorrelation matrix inversion. Theoretical analysis establishes formal convergence of the algorithms. Specifically, the MICCG algorithm is developed based on a block adaptation approach and it generates a finite sequence of estimates that converge to the MVDR solution. For limited data records, the estimates of the MICCG algorithm are better than the conventional estimators and equivalent to the auxiliary vector algorithms. The SICCG algorithm is developed based on a continuous adaptation approach with a sample-by-sample updating procedure and the estimates asymptotically converge to the MVDR solution. An illustrative example using synthetic data from a uniform linear array is studied and an evaluation on real data recorded by an acoustic vector sensor array is demonstrated. Performance of the MICCG algorithm and the SICCG algorithm are compared with the state-of-the-art approaches.
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Journal
Journal of the Acoustical Society of AmericaVolume
136Issue
3Pagination
1160 - 1175Publisher
Acoustical Society of AmericaLocation
New York, N.Y.Publisher DOI
ISSN
0001-4966eISSN
1520-8524Language
engPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2014, Acoustical Society of AmericaUsage metrics
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