2018
DOI: 10.1007/s00034-018-0910-9
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A Novel Underdetermined Source Recovery Algorithm Based on k-Sparse Component Analysis

Abstract: Sparse component analysis (SCA) is a popular method for addressing underdetermined blind source separation (UBSS) in array signal processing applications. We are motivated by problems that arise in the applications where the sources are densely sparse (i.e. only a limited number of sources are inactive at each time instant). The separation performance of current underdetermined source recovery (USR) solutions, including the relaxation and greedy families, reduces with decreasing the mixing system dimension and… Show more

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Cited by 13 publications
(10 citation statements)
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References 54 publications
(73 reference statements)
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“…Although defining microstates using GFP peaks partially addresses this issue, it still cannot guarantee single microstate activity, even at peak points. To tackle situations where multiple microstates are active simultaneously, in addition to our proposed method, certain algorithms, such as k ‐sparse component analysis ( k ‐SCA), may be employed (Eqlimi et al, 2015, 2019, 2020).…”
Section: Methodsmentioning
confidence: 99%
“…Although defining microstates using GFP peaks partially addresses this issue, it still cannot guarantee single microstate activity, even at peak points. To tackle situations where multiple microstates are active simultaneously, in addition to our proposed method, certain algorithms, such as k ‐sparse component analysis ( k ‐SCA), may be employed (Eqlimi et al, 2015, 2019, 2020).…”
Section: Methodsmentioning
confidence: 99%
“…Sparsity-based practices focus on extracting the non-negative sources. Much work has been carried out on what is called SCA [ 14 , 15 , 16 , 17 , 18 ]. Several techniques for obtaining sparsity in the transform domain have been developed thus far, including the short-time Fourier Transform (STFT) and the wavelet packet transform [ 19 , 20 , 21 , 22 , 23 ].…”
Section: Introductionmentioning
confidence: 99%
“…Sparse component analysis, as a common UBSS method, can separate the source signals by exploiting the sparsity characteristics of sources in the transform domain [ 21 , 22 ]. Generally, the SCA algorithm consists of two steps: mixing matrix estimation and source recovery [ 23 ]. Among the two-step approach, the mixing matrix estimation has been widely considered to be the most important step [ 15 , 24 , 25 ].…”
Section: Introductionmentioning
confidence: 99%