Convolutive Transfer Function Generalized Sidelobe Canceler

Ronen Talmon, Israel Cohen, Sharon Gannot

Research output: Contribution to journalArticlepeer-review

57 Scopus citations


In this paper, we propose a convolutive transfer function generalized sidelobe canceler (CTF-GSC), which is an adaptive beamformer designed for multichannel speech enhancement in reverberant environments. Using a complete system representation in the short-time Fourier transform (STFT) domain, we formulate a constrained minimization problem of total output noise power subject to the constraint that the signal component of the output is the desired signal, up to some prespecified filter. Then, we employ the general sidelobe canceler (GSC) structure to transform the problem into an equivalent unconstrained form by decoupling the constraint and the minimization. The CTF-GSC is obtained by applying a convolutive transfer function (CTF) approximation on the GSC scheme, which is a more accurate and a less restrictive than a multiplicative transfer function (MTF) approximation. Experimental results demonstrate that the proposed beamformer outperforms the transfer function GSC (TF-GSC) in reverberant environments and achieves both improved noise reduction and reduced speech distortion.

Original languageEnglish
Pages (from-to)1420-1434
Number of pages15
JournalIEEE Transactions on Audio, Speech and Language Processing
Issue number7
StatePublished - Sep 2009

Bibliographical note

Funding Information:
Manuscript received October 07, 2008; revised March 22, 2009. Current version published July 31, 2009. This work was supported by the Israel Science Foundation under Grant 1085/05. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Nakatani Tomohiro. R. Talmon and I. Cohen are with the Department of Electrical Engineering, Technion—Israel Institute of Technology, Haifa 32000, Israel (e-mail:; S. Gannot is with the School of Engineering, Bar-Ilan University, Ramat-Gan, 52900, Israel (e-mail: Color versions of one or more of the figures in this paper are available online at Digital Object Identifier 10.1109/TASL.2009.2020891


  • Adaptive signal processing
  • array signal processing
  • beamforming
  • generalized sidelobe canceler (GSC)
  • linearly constrained minimum variance (LCMV)
  • microphone arrays
  • minimum variance distortionless response (MVDR)
  • noise reduction
  • speech enhancement


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