Abstract
The problem of blind source separation (BSS) using joint diagonalization of a set of non-unitary eigen-matrices that are obtained with the observed signal vector sequence is addressed in this paper. A theoretical study is conducted of the identifiability of joint diagonalization of non-orthogonal matrices so as to generalize some known results for the orthogonal case. In particular, a mathematical proof is provided for essential uniqueness of general joint diagonalization, that is to say, all the estimated mixing matrices extracted from the non-unitary eigen-matrix group are essentially equal within an arbitrary permutation and scaling. The non-orthogonal identifiability theorem given in this paper serves as a mathematical foundation for the BSS methods based on the non-orthogonal joint diagonalization.
| Original language | English |
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| Title of host publication | Proceedings of the 41st IEEE International Symposium on Circuits and Systems (ISCAS 2008) held in Seattle, Washington, 18-21 May, 2009 |
| Publisher | IEEE |
| Number of pages | 4 |
| ISBN (Print) | 9781424416837 |
| Publication status | Published - 2008 |
| Event | International Symposium on Circuits and Systems - Duration: 1 Jan 2008 → … |
Conference
| Conference | International Symposium on Circuits and Systems |
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| Period | 1/01/08 → … |
Keywords
- matrices
- eigenvalues
- eigenfunctions
- joint diagonalization
- blind source separation