Using farther correlations to further improve the optimally-weighted SOBI Algorithm

Arie Yeredor, Eran Doron

Research output: Contribution to journalConference articlepeer-review


The Weights-Adjusted Second-Order Blind Identification (WASOBI) algorithm was recently proposed (Yeredor, 2000) as an optimized version of the SOBI Algorithm (Belouchrani et al., 1997) for blind separation of static mixtures of Gaussian Moving Average (MA) sources. The optimization consists of transforming the approximate joint diagonalization in SOBI into a properly weighted Least-Squares problem, with the asymptotically optimal weights specified in terms of the estimated correlations. However, only correlations up to the lag of the maximal MA order were used. Somewhat counter-intuitively, it turns out that estimated correlation matrices beyond this lag are also useful, although the respective true correlations are known to be zero and have no direct dependence on the mixing matrix. Nevertheless, when properly incorporated into the weighted least-squares problem, these estimated matrices can significantly improve performance, since they bear information on the estimation errors of the shorter-lags matrices. In this paper we show how to modify the WASOBI algorithm accordingly, and demonstrate the improvement via analysis and simulation results.

Original languageEnglish
Article number7072206
JournalEuropean Signal Processing Conference
StatePublished - 27 Mar 2002
Event11th European Signal Processing Conference, EUSIPCO 2002 - Toulouse, France
Duration: 3 Sep 20026 Sep 2002


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