TY - CONF
AB - In this paper we propose to employ directional statistics in a complex vector space to approach the problem of blind speech separation in the presence of spatially correlated noise. We interpret the values of the short time Fourier transform of the microphone signals to be draws from a mixture of complex Watson distributions, a probabilistic model which naturally accounts for spatial aliasing. The parameters of the density are related to the a priori source probabilities, the power of the sources and the transfer function ratios from sources to sensors. Estimation formulas are derived for these parameters by employing the Expectation Maximization (EM) algorithm. The E-step corresponds to the estimation of the source presence probabilities for each time-frequency bin, while the M-step leads to a maximum signal-to-noise ratio (MaxSNR) beamformer in the presence of uncertainty about the source activity. Experimental results are reported for an implementation in a generalized sidelobe canceller (GSC) like spatial beamforming configuration for 3 speech sources with significant coherent noise in reverberant environments, demonstrating the usefulness of the novel modeling framework.
AU - Tran Vu, Dang Hai
AU - Haeb-Umbach, Reinhold
ID - 11913
KW - array signal processing
KW - blind source separation
KW - blind speech separation
KW - complex vector space
KW - complex Watson distribution
KW - directional statistics
KW - expectation-maximisation algorithm
KW - expectation maximization algorithm
KW - Fourier transform
KW - Fourier transforms
KW - generalized sidelobe canceller
KW - interference suppression
KW - maximum signal-to-noise ratio beamformer
KW - microphone signal
KW - probabilistic model
KW - spatial aliasing
KW - spatial beamforming configuration
KW - speech enhancement
KW - statistical distributions
T2 - IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2010)
TI - Blind speech separation employing directional statistics in an Expectation Maximization framework
ER -