Temporally correlated source separation based on variational Kalman smoother

Authors:
Qinghua Huang;Jie Yang;Yunfeng Xue;Yue Zhou
Affiliations:
Department of Communication Engineering, Shanghai University, Shanghai 200072, People's Republic of China;Institute of Image Processing and Pattern Recognition, Shanghai Jiaotong University, Shanghai 200240, People's Republic of China;Institute of Image Processing and Pattern Recognition, Shanghai Jiaotong University, Shanghai 200240, People's Republic of China;Institute of Image Processing and Pattern Recognition, Shanghai Jiaotong University, Shanghai 200240, People's Republic of China
Venue:
Digital Signal Processing
Year:
2008

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Abstract

In the paper, to exploit the temporal information of signal, an autoregressive (AR) process is adopted to model the time structure of each source signal. Then variational Bayesian (VB) approach is used to separate noisy mixtures of temporally correlated sources. We express noisy mixing model and AR source model in a state space form and employ variational Kalman smoother to estimate source. The advantage of our algorithm is that it exploits the temporally correlated nature of source signal. Experiments on artifact and real-world speech signals are used to verify our proposed algorithm. As a result, AR source model improves the separation. The performance of our algorithm is compared with that of VB separation algorithm based on independent and identically distributed (i.i.d.) assumption which each source satisfies and the second-order blind identification (SOBI) algorithm.