tailieunhanh - EURASIP Journal on Applied Signal Processing 2003:11, 1157–1166 c 2003 Hindawi Publishing

EURASIP Journal on Applied Signal Processing 2003:11, 1157–1166 c 2003 Hindawi Publishing Corporation Equivalence between Frequency-Domain Blind Source Separation and Frequency-Domain Adaptive Beamforming for Convolutive Mixtures Shoko Araki NTT Communication Science Laboratories, NTT Corporation, 2-4 Hikaridai, Seika-cho, Soraku-gun, Kyoto 619-0237, Japan Email: shoko@ Shoji Makino NTT Communication Science Laboratories, NTT Corporation, 2-4 Hikaridai, Seika-cho, Soraku-gun, Kyoto 619-0237, Japan Email: maki@ Yoichi Hinamoto Graduate School of Information Science, Nara Institute of Science and Technology, 8916-5 Takayama-cho, Ikoma, Nara 630-0192, Japan Email: yoichi-h@ Ryo Mukai NTT Communication Science Laboratories, NTT Corporation, 2-4 Hikaridai, Seika-cho, Soraku-gun, Kyoto 619-0237, Japan Email: ryo@ Tsuyoki Nishikawa Graduate School of Information Science, Nara Institute of Science and. | EURASIP Journal on Applied Signal Processing 2003 11 1157-1166 2003 Hindawi Publishing Corporation Equivalence between Frequency-Domain Blind Source Separation and Frequency-Domain Adaptive Beamforming for Convolutive Mixtures Shoko Araki NTT Communication Science Laboratories NTT Corporation 2-4 Hikaridai Seika-cho Soraku-gun Kyoto 619-0237 Japan Email shoko@ Shoji Makino NTT Communication Science Laboratories NTT Corporation 2-4 Hikaridai Seika-cho Soraku-gun Kyoto 619-0237 Japan Email maki@ Yoichi Hinamoto Graduate School of Information Science Nara Institute of Science and Technology 8916-5 Takayama-cho Ikoma Nara 630-0192 Japan Em ail yoichi-h@ Ryo Mukai NTT Communication Science Laboratories NTT Corporation 2-4 Hikaridai Seika-cho Soraku-gun Kyoto 619-0237 Japan Email ryo@ Tsuyoki Nishikawa Graduate School of Information Science Nara Institute of Science and Technology 8916-5 Takayama-cho Ikoma Nara 630-0192 Japan Email tsuyo-ni@ Hiroshi Saruwatari Graduate School of Information Science Nara Institute of Science and Technology 8916-5 Takayama-cho Ikoma Nara 630-0192 Japan Email sawatari@ Received 2 December 2002 and in revised form 16 March 2003 Frequency-domain blind source separation BSS is shown to be equivalent to two sets of frequency-domain adaptive beamformers ABFs under certain conditions. The zero search of the off-diagonal components in the BSS update equation can be viewed as the minimization of the mean square error in the ABFs. The unmixing matrix of the BSS and the filter coefficients of the ABFs converge to the same solution if the two source signals are ideally independent. If they are dependent this results in a bias for the correct unmixing filter coefficients. Therefore the performance of the BSS is limited to that of the ABF if the ABF can use exact geometric information. This understanding gives an interpretation of BSS from a

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