Time-frequency analysis: theory and applications
Time-frequency analysis: theory and applications
Jacobi Angles for Simultaneous Diagonalization
SIAM Journal on Matrix Analysis and Applications
Matrix computations (3rd ed.)
Fast approximate joint diagonalization incorporating weight matrices
IEEE Transactions on Signal Processing
A blind source separation technique using second-order statistics
IEEE Transactions on Signal Processing
Algebraic Joint Zero-Diagonalization and Blind Sources Separation
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Nonorthogonal Joint Diagonalization Free of Degenerate Solution
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Quadratic optimization for simultaneous matrix diagonalization
IEEE Transactions on Signal Processing
Blind source separation based on time-frequency signalrepresentations
IEEE Transactions on Signal Processing
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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.