Paper: | SPTM-P9.3 |
Session: | Signal Restoration, Reconstruction and Enhancement |
Time: | Thursday, May 18, 14:00 - 16:00 |
Presentation: |
Poster
|
Topic: |
Signal Processing Theory and Methods: Signal Restoration, Reconstruction, and Enhancement |
Title: |
Theoretical Foundations of Second-Order-Statistics-Based Blind Source Separation for Non-Stationary Sources |
Authors: |
Akira Tanaka, Hideyuki Imai, Masaaki Miyakoshi, Hokkaido University, Japan |
Abstract: |
The aim of ``Blind Source Separation'' is to recover mutually independent unknown source signals from observations obtained through an unknown linear mixture system. Simultaneous diagonalization of correlation matrices of observations is one of the resolutions, when the unknown source signals are non-stationary. Although it is trivial that the true separation matrix simultaneously diagonalizes all the correlation matrices, it is not well investigated whether a simultaneous diagonalizer of the correlation matrices is always a separation matrix. In this paper, we give explicit solutions of simultaneous diagonalizers of the correlation matrices and we also clarify the condition that the solutions always achieve the blind source separation. |