Jacobi Angles for Simultaneous Diagonalization
SIAM Journal on Matrix Analysis and Applications
Blind source separation via generalized eigenvalue decomposition
The Journal of Machine Learning Research
Cyclostationarity: half a century of research
Signal Processing
Blind source extraction of periodic signals
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
A blind source separation technique using second-order statistics
IEEE Transactions on Signal Processing
Blind source-separation using second-order cyclostationarystatistics
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
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In this paper a novel algorithm for blind source extraction of quasi-periodic signals is developed. It is assumed that the cycle frequencies of the sources are known a priori. Necessary and sufficient conditions are introduced and Jacobi method for diagonalization of complex matrices is used to find the solution. A warping method is also introduced to adjust the cycle frequencies in the signals with time varying periods. The proposed algorithm is applied to simulated data and mixtures of heart and lung sounds, and effectiveness and performance of the algorithm are verified.