2014
DOI: 10.1109/msp.2013.2296790
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Sparse Representation for Brain Signal Processing: A tutorial on methods and applications

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Cited by 74 publications
(33 citation statements)
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“…The objective of the sparse representation is to estimate the scalar coefficients, so that we can sparsely represent the test signal as a linear combination of few atoms of dictionary D [14]. The sparse representation of an input signal y can be obtained by performing l 0 norm minimization as follows: min s s 0 subject to y = Ds (8) l 0 norm optimization gives us the sparse representation but it is an NP-hard problem [2].…”
Section: Designing a Dictionary Matrixmentioning
confidence: 99%
See 1 more Smart Citation
“…The objective of the sparse representation is to estimate the scalar coefficients, so that we can sparsely represent the test signal as a linear combination of few atoms of dictionary D [14]. The sparse representation of an input signal y can be obtained by performing l 0 norm minimization as follows: min s s 0 subject to y = Ds (8) l 0 norm optimization gives us the sparse representation but it is an NP-hard problem [2].…”
Section: Designing a Dictionary Matrixmentioning
confidence: 99%
“…In compressive sensing (CS), this sparsity idea was used and according to CS theory, any natural signal can be epitomized sparsely on definite constraints [5,8]. If the signal and an over-complete dictionary matrix is given, then the objective of the sparse representation is to compute the sparse coefficients, so that the signal can be represented as a sparse linear combination of atoms (columns) in dictionary [14]. If the dictionary matrix is designed from the best extracted feature of MI signal, it helps to overcome the issue of inter-personal and intra-personal variability, also enhances the processing speed and accuracy of the classifier.…”
mentioning
confidence: 99%
“…Blind signal separation(BSS) is to separate or extract the source signal from hybrid signal received by the sensor array in case the transmission channel characteristic and real source signal are unknown [1] [2]. It is one of the hottest new disciplines of signal processing and is widely applied to fields like communications, remote sensing, radar, sonar, and noise control.…”
Section: Introductionmentioning
confidence: 99%
“…It has successfully extended from theoretical research to a variety of applications, such as signal classification [1], image and signal denoising [2,[31][32][33][34], blind sources separation [3] and so on. So far, most denosing literatures about sparse representation are image denoising [4]- [6], and signal denoising is rarely studied.…”
Section: Introductionmentioning
confidence: 99%