On the output SNR of the speech-distortion weighted multichannel Wiener filter

• Published in: IEEE signal processing letters Vol. 12; no. 12; pp. 809 - 811
• Main Authors: Doclo, S., Moonen, M.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-12-2005; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Acoustic noise; Delay estimation; Finite impulse response filter; Microphones; Multichannel Wiener filter; Noise reduction; output signal-to-noise ratio (SNR); Signal processing algorithms; Signal to noise ratio; Speech enhancement; Speech processing; Wiener filter
• ISSN: 1070-9908; 1558-2361
• DOI: 10.1109/LSP.2005.859530

In this letter, we prove that the output signal-to-noise ratio (SNR) after noise reduction with the speech-distortion weighted multichannel Wiener filter is always larger than or equal to the input SNR, for any filter length, for any value of the tradeoff parameter between noise reduction and speech distortion, and for all possible speech and noise correlation matrices.