Equivalence between frequency domain blind source separation and frequency domain adaptive null beamformers

Shoko Araki, Shoji Makino, Ryo Mukai, Hiroshi Saruwatari

Research output: Chapter in Book/Report/Conference proceedingConference contribution

20 Citations (Scopus)

Abstract

Frequency domain Blind Source Separation (BSS) is shown to be equivalent to two sets of frequency domain adaptive microphone arrays, i.e., Adaptive Null Beamformers (ANB). The minimization of the off-diagonal components in the BSS update equation can be viewed as the minimization of the mean square error in the ANB. The unmixing matrix of the BSS and the filter coefficients of the ANB converge to the same solution in the mean square error sense if the two source signals are ideally independent. Therefore, we can conclude that the performance of the BSS is upper bounded by that of the ANB. This understanding clearly explains the poor performance of the BSS in a real room with long reverberation. The fundamental difference exists in the adaptation period when they should adapt. That is, the ANB can adapt in the presence of a jammer but the absence of a target, whereas the BSS can adapt in the presence of a target and jammer, and also in the presence of only a target.

Original languageEnglish
Title of host publicationEUROSPEECH 2001 - SCANDINAVIA - 7th European Conference on Speech Communication and Technology
EditorsBorge Lindberg, Henrik Benner, Paul Dalsgaard, Zheng-Hua Tan
PublisherInternational Speech Communication Association
Pages2595-2598
Number of pages4
ISBN (Electronic)8790834100, 9788790834104
Publication statusPublished - 2001
Externally publishedYes
Event7th European Conference on Speech Communication and Technology - Scandinavia, EUROSPEECH 2001 - Aalborg, Denmark
Duration: 2001 Sep 32001 Sep 7

Publication series

NameEUROSPEECH 2001 - SCANDINAVIA - 7th European Conference on Speech Communication and Technology

Other

Other7th European Conference on Speech Communication and Technology - Scandinavia, EUROSPEECH 2001
Country/TerritoryDenmark
CityAalborg
Period01/9/301/9/7

ASJC Scopus subject areas

  • Communication
  • Linguistics and Language
  • Computer Science Applications
  • Software

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