Householder transform based joint diagonal zero diagonalization for source separation using time-frequency distributions

  • Authors:
  • Wei-Tao Zhang;Shun-Tian Lou

  • Affiliations:
  • School of Electronic Engineering, Xidian University, Xi'an, China 710071;School of Electronic Engineering, Xidian University, Xi'an, China 710071

  • Venue:
  • Multidimensional Systems and Signal Processing
  • Year:
  • 2010

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Abstract

We present a new combined joint diagonalization and zero diagonalization algorithm for separating the source signals by using time-frequency distributions (TFD). The proposed algorithm is based on the Householder transform, which exactly guarantees the orthonormality of the diagonalizer and/or zero diagonalizer. As an application, we show that blind separation of correlated sources can be achieved by applying the proposed algorithm to spatial quadratic TFD matrices corresponding to auto-source terms and/or cross-source terms. Computer simulations are provided to demonstrate the performances of the proposed algorithm and compare it with the classical ones to show the performance improvement.