Determining number of independent sources in undercomplete mixture

Ganesh R. Naik, Dinesh K. Kumar

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

Separation of independent sources using independent component analysis (ICA) requires prior knowledge of the number of independent sources. Performing ICA when the number of recordings is greater than the number of sources can give erroneous results. To improve the quality of separation, the most suitable recordings have to be identified before performing ICA. Techniques employed to estimate suitable recordings require estimation of number of independent sources or require repeated iterations. However there is no objective measure of the number of independent sources in a given mixture. Here, a technique has been developed to determine the number of independent sources in a given mixture. This paper demonstrates that normalised determinant of the global matrix is a measure of the number of independent sources, N, in a mixture of M recordings. It has also been shown that performing ICA on N randomly selected recordings out of M recordings gives good quality of separation.

Original languageEnglish
Article number694850
JournalEurasip Journal on Advances in Signal Processing
Volume2009
DOIs
Publication statusPublished - 28 Sep 2009
Externally publishedYes

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