A Fast Algorithm for Nonunitary Joint Diagonalization and Its Application to Blind Source Separation

Authors:
Xian-Feng Xu; Da-Zheng Feng; Wei Xing Zheng
Affiliations:
Nat. Lab. of Radar Signal Process., Xidian Univ., Xi'an, China;-;-
Venue:
IEEE Transactions on Signal Processing
Year:
2011

Citing 0
Cited 2

Fast nonunitary joint block diagonalization with degenerate solution elimination for convolutive blind source separation

Digital Signal Processing
A parallel dual matrix method for blind signal separation

Neural Computation

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Abstract

A fast algorithm, named Complex-Valued Fast Frobenius DIAGonalization (CVFFDIAG), is proposed for seeking the nonunitary approximate joint diagonalizer of a given set of complex-valued target matrices. It adopts a multiplicative update to minimize the Frobenius-norm formulation of the approximate joint diagonalization problem. At each of multiplicative iterations, a strictly diagonally dominant updated matrix is obtained. This scheme ensures the invertibility of the diagonalizer. The CVFFDIAG relaxes several constraints on the target matrices and thus has much general applications. Furthermore, the special approximation of the cost function, the ingenious utilization of some structures and the adequate notation of concerned variables lead to the high computational efficiency of the proposed algorithm. Numerical simulations are conducted to illustrate good performances of the CVFFDIAG.