Title
Modified Hierarchical Clustering For Sparse Component Analysis
Abstract
The under-determined blind source separation (BSS) problem is usually solved using the sparse component analysis (SCA) technique. In SCA, the BSS is usually solved in two steps, where the mixing matrix is estimated in the first step, while the sources are estimated in the second step. In this paper we propose a novel clustering algorithm for estimating the mixing matrix and the number of sources, which is usually unknown. The proposed algorithm is based on incorporating a statistical test with a hierarchical clustering (HC) algorithm. The proposed algorithm is based on sequentially extracting compact clusters that have been constructed by the HC algorithm, where the extraction decision is based on the statistical test. To identify the number of sources, as well as the clusters corresponding to the columns of the mixing matrix, we develop a quantitative measure called the concentration parameters. Two numerical examples are presented to present the ability of the proposed algorithm in estimating the mixing matrix and the number of sources.
Year
DOI
Venue
2010
10.1109/ICASSP.2010.5496251
2010 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING
Keywords
Field
DocType
blind source separation, sparse component analysis, clustering
Hierarchical clustering,Canopy clustering algorithm,Pattern recognition,Computer science,Matrix (mathematics),Artificial intelligence,Component analysis,Cluster analysis,Blind signal separation,Sparse matrix,Source separation
Conference
ISSN
Citations 
PageRank 
1520-6149
3
0.40
References 
Authors
3
2
Name
Order
Citations
PageRank
Nasser Mourad1121.79
James Reilly245743.42