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Article: Discrete wavelet transforms for Toeplitz matrices
Title | Discrete wavelet transforms for Toeplitz matrices |
---|---|
Authors | |
Keywords | Circulant matrix Discrete Fourier transform Discrete wavelet transforms Toeplitz matrix Toeplitz-like structure |
Issue Date | 2003 |
Publisher | Elsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/laa |
Citation | Linear Algebra and Its Applications, 2003, v. 370, p. 269-285 How to Cite? |
Abstract | In this paper, we discuss discrete wavelet transforms for Toeplitz matrices and block-Toeplitz-Toeplitz-block matrices. The main contribution of this paper is to give the Toeplitz-like structure of the wavelet transformed Toeplitz matrices, and show that the computational cost for such structure is O(k3ln) where n is the size of the Toeplitz matrix, k is the order of the wavelet and l is the level used in the wavelet transform. The comparison between the wavelet transformed Toeplitz matrices and the Fourier transformed Toeplitz matrices is also given. © 2003 Elsevier Science Inc. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/75316 |
ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 0.837 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lin, FR | en_HK |
dc.contributor.author | Ching, WK | en_HK |
dc.contributor.author | Ng, MK | en_HK |
dc.date.accessioned | 2010-09-06T07:09:58Z | - |
dc.date.available | 2010-09-06T07:09:58Z | - |
dc.date.issued | 2003 | en_HK |
dc.identifier.citation | Linear Algebra and Its Applications, 2003, v. 370, p. 269-285 | en_HK |
dc.identifier.issn | 0024-3795 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/75316 | - |
dc.description.abstract | In this paper, we discuss discrete wavelet transforms for Toeplitz matrices and block-Toeplitz-Toeplitz-block matrices. The main contribution of this paper is to give the Toeplitz-like structure of the wavelet transformed Toeplitz matrices, and show that the computational cost for such structure is O(k3ln) where n is the size of the Toeplitz matrix, k is the order of the wavelet and l is the level used in the wavelet transform. The comparison between the wavelet transformed Toeplitz matrices and the Fourier transformed Toeplitz matrices is also given. © 2003 Elsevier Science Inc. All rights reserved. | en_HK |
dc.language | eng | en_HK |
dc.publisher | Elsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/laa | en_HK |
dc.relation.ispartof | Linear Algebra and Its Applications | en_HK |
dc.subject | Circulant matrix | en_HK |
dc.subject | Discrete Fourier transform | en_HK |
dc.subject | Discrete wavelet transforms | en_HK |
dc.subject | Toeplitz matrix | en_HK |
dc.subject | Toeplitz-like structure | en_HK |
dc.title | Discrete wavelet transforms for Toeplitz matrices | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Ching, WK:wching@hku.hk | en_HK |
dc.identifier.authority | Ching, WK=rp00679 | en_HK |
dc.description.nature | link_to_OA_fulltext | - |
dc.identifier.doi | 10.1016/S0024-3795(03)00415-4 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0037962250 | en_HK |
dc.identifier.hkuros | 88755 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0037962250&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 370 | en_HK |
dc.identifier.spage | 269 | en_HK |
dc.identifier.epage | 285 | en_HK |
dc.identifier.isi | WOS:000184555200018 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Lin, FR=7402777425 | en_HK |
dc.identifier.scopusauthorid | Ching, WK=13310265500 | en_HK |
dc.identifier.scopusauthorid | Ng, MK=7202076432 | en_HK |
dc.identifier.issnl | 0024-3795 | - |