Title
Blind Separation of Time/Position Varying Mixtures
Abstract
We address the challenging open problem of blindly separating time/position varying mixtures, and attempt to separate the sources from such mixtures without having prior information about the sources or the mixing system. Unlike studies concerning instantaneous or convolutive mixtures, we assume that the mixing system (medium) is varying in time/position. Attempts to solve this problem have mostly utilized, so far, online algorithms based on tracking the mixing system by methods previously developed for the instantaneous or convolutive mixtures. In contrast with these attempts, we develop a unified approach in the form of staged sparse component analysis (SSCA). Accordingly, we assume that the sources are either sparse or can be “sparsified.” In the first stage, we estimate the filters of the mixing system, based on the scatter plot of the sparse mixtures' data, using a proper clustering and curve/surface fitting. In the second stage, the mixing system is inverted, yielding the estimated sources. We use the SSCA approach for solving three types of mixtures: time/position varying instantaneous mixtures, single-path mixtures, and multipath mixtures. Real-life scenarios and simulated mixtures are used to demonstrate the performance of our approach.
Year
DOI
Venue
2013
10.1109/TIP.2012.2197005
IEEE Transactions on Image Processing
Keywords
Field
DocType
blind source separation,convolution,curve fitting
Multipath propagation,Online algorithm,Open problem,Curve fitting,Artificial intelligence,Cluster analysis,Component analysis,Blind signal separation,Mathematical optimization,Pattern recognition,Convolution,Algorithm,Mathematics
Journal
Volume
Issue
ISSN
22
1
1941-0042
Citations 
PageRank 
References 
3
0.38
16
Authors
2
Name
Order
Citations
PageRank
Ran Kaftory1272.99
Yehoshua Y. Zeevi2610248.69