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Non-orthogonal joint diagonalization (NJD) free of prewhitening has been widely studied in the context of blind source separation (BSS) and array signal processing, etc. However, NJD is used to retrieve the jointly diagonalizable structure for a single set of target matrices which are mostly formulized with a single dataset, and thus is insufficient to handle multiple datasets with inter-set dependences,...
Recently, there has been a trend to combine independent component analysis and canonical polyadic decomposition (ICA-CPD) for an enhanced robustness for the computation of CPD, and ICA-CPD could be further converted into CPD of a 5th-order partially symmetric tensor, by calculating the eigenmatrices of the 4th-order cumulant slices of a trilinear mixture. In this study, we propose a new 5th-order...
We present an algorithm for jointly solving multiple nonorthogonal joint diagonalization (JNJD) problems with linked loading matrices, by using LU decomposition and Jacobi scheme in the updating procedure. The proposed method could be used in applications that involve a set of correlated linear instantaneous blind source separation (BSS) problems (e.g. frequency domain convolutive BSS), and differs...
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