Abstract | ||
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•In this article, we present a new technique for learning dictionaries from the signals with time delays, represented by polynomial matrices.•Two types of polynomial dictionary methods are proposed based on either the matrix of polynomials model or the polynomial of matrices model.•We also present a method to calculate the sparse approximation coefficients for there reconstruction of the signals in polynomial form for a given polynomial dictionary.•The proposed technique is demonstrated for acoustic impulse response modeling. |
Year | DOI | Venue |
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2018 | 10.1016/j.sigpro.2017.08.011 | Signal Processing |
Keywords | Field | DocType |
Dictionary learning,Polynomial matrix,Impulse responses,Sparse representation | Lagrange polynomial,K-SVD,Polynomial,Polynomial matrix,Matrix (mathematics),Computer science,Square-free polynomial,Algorithm,Polynomial long division,Matrix polynomial | Journal |
Volume | ISSN | Citations |
142 | 0165-1684 | 0 |
PageRank | References | Authors |
0.34 | 34 | 7 |
Name | Order | Citations | PageRank |
---|---|---|---|
Guan Jian | 1 | 8 | 3.69 |
Xuan Wang | 2 | 291 | 57.12 |
Pengming Feng | 3 | 33 | 4.90 |
Dong Jing | 4 | 2 | 1.05 |
Jonathon Chambers | 5 | 99 | 8.84 |
Zoe L. Jiang | 6 | 100 | 17.59 |
Wang Wenwu | 7 | 14 | 4.75 |