Paper Info
Title
Underdetermined Blind Separation by Combining Sparsity and Independence of Sources.
Abstract
In this paper, we address underdetermined blind separation of N sources from their M instantaneous mixtures, where N > M, by combining the sparsity and independence of sources. First, we propose an effective scheme to search some sample segments with the local sparsity, which means that in these sample segments, only Q(Q < M) sources are active. By grouping these sample segments into different sets such that each set has the same Q active sources, the original underdetermined BSS problem can be transformed into a series of locally overdetermined BSS problems. Thus, the blind channel identification task can be achieved by solving these overdetermined problems in each set by exploiting the independence of sources. In the second stage, we will achieve source recovery by exploiting a mild sparsity constraint, which is proven to be a sufficient and necessary condition to guarantee recovery of source signals. Compared with some sparsity-based UBSS approaches, this paper relaxes the sparsity restriction about sources to some extent by assuming that different source signals are mutually independent. At the same time, the proposed UBSS approach does not impose any richness constraint on sources. Theoretical analysis and simulation results illustrate the effectiveness of our approach.
Year
DOI
Venue
2017
10.1109/ACCESS.2017.2764044
IEEE ACCESS
Keywords
Field
DocType
Underdetermined blind source separation,sparsity,independence,source recovery,blind identification
Underdetermined blind source separation,Overdetermined system,Mathematical optimization,Underdetermined system,Computer science,Communication channel,Time–frequency analysis,Blind signal separation,Independence (probability theory)
Journal
Volume
ISSN
Citations 
5
2169-3536
0
PageRank 
References 
Authors
0.34
24
5
Name
Order
Citations
PageRank
Peng Chen142.43
Dezhong Peng228527.92
Liangli Zhen3729.73
Yifan Luo411.36
Yong Xiang5113793.92