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Underdetermined blind separation by combining sparsity and independence of sources

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journal contribution
posted on 2017-10-24, 00:00 authored by P Chen, D Peng, L Zhen, Y Luo, Yong XiangYong Xiang
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.

History

Journal

IEEE access

Volume

5

Pagination

21731 - 21742

Publisher

Institute of Electrical and Electronics Engineers

Location

Piscataway, N.J.

eISSN

2169-3536

Language

eng

Publication classification

C1 Refereed article in a scholarly journal

Copyright notice

2017, IEEE