Convolutive blind source separation in the frequency domain based on sparse representation

Zhaoshui He, Shengli Xie, Shuxue Ding, Andrzej Cichocki

Research output: Contribution to journalArticlepeer-review

76 Citations (Scopus)


Convolutive blind source separation (CBSS) that exploits the sparsity of source signals in the frequency domain is addressed in this paper. We assume the sources follow complex Laplacian-like distribution for complex random variable, in which the real part and imaginary part of complex-valued source signals are not necessarily independent. Based on the maximum a posteriori (MAP) criterion, we propose a novel natural gradient method for complex sparse representation. Moreover, a new CBSS method is further developed based on complex sparse representation. The developed CBSS algorithm works in the frequency domain. Here, we assume that the source signals are sufficiently sparse in the frequency domain. If the sources are sufficiently sparse in the frequency domain and the filter length of mixing channels is relatively small and can be estimated, we can even achieve underdetermined CBSS. We illustrate the validity and performance of the proposed learning algorithm by several simulation examples.

Original languageEnglish
Article number4244519
Pages (from-to)1551-1563
Number of pages13
JournalIEEE Transactions on Audio, Speech and Language Processing
Issue number5
Publication statusPublished - Jul 2007
Externally publishedYes


  • Complex Laplacian-like distribution
  • Convolutive blind source separation (CBSS)
  • Frequency domain
  • Permutation problem
  • Probability density function
  • Sparse representation (SR)


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