Brief analysis of TF-GSC

original reproduced in: http://blog.csdn.net/bellshape/article/details/65447099, thank you very much.

1. Overview

GSC (Generalized sidelobe canceller, generalized sidelobe Phase Eliminator ) is a method for speech enhancement in microphone array processing. This paper focuses on the tf-gsc of arbitrary (arbitrary) ATF (acoustical Transfer function, acoustic transfer function ) model based on frequency domain (Transfer function generalized Sidelobe Canceller, the principle of transfer function generalized sidelobe phase Eliminator .
Symbol: Short-time Fourier transform the speech signal, with K for each frequency point, L represents the frame number, S (k,l) represents desired signal (desired signal), Z (k,l) = (Z1 (k,l),..., ZM (k,l)) T represents the observation signal of M microphones, A (k) = ( A1 (k),..., AM (k)) T represents the ATF of the sound source to each microphone. W (k,l) = (