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A General Approach for Orthogonal 4-Tap Integer Multiwavelet Transforms
Joint Authors
Liu, Wuling
Huang, Hua
Qi, Chun
Jing, Mingli
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-07-06
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
An algorithm for orthogonal 4-tap integer multiwavelet transforms is proposed.
We compute the singular value decomposition (SVD) of block recursive matrices of transform matrix, and then transform matrix can be rewritten in a product of two block diagonal matrices and a permutation matrix.
Furthermore, we factorize the block matrix of block diagonal matrices into triangular elementary reversible matrices (TERMs), which map integers to integers by rounding arithmetic.
The cost of factorizing block matrix into TERMs does not increase with the increase of the dimension of transform matrix, and the proposed algorithm is in-place calculation and without allocating auxiliary memory.
Examples of integer multiwavelet transform using DGHM and CL are given, which verify that the proposed algorithm is an executable algorithm and outperforms the existing algorithm for orthogonal 4-tap integer multiwavelet transform.
American Psychological Association (APA)
Jing, Mingli& Huang, Hua& Liu, Wuling& Qi, Chun. 2010. A General Approach for Orthogonal 4-Tap Integer Multiwavelet Transforms. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-450946
Modern Language Association (MLA)
Jing, Mingli…[et al.]. A General Approach for Orthogonal 4-Tap Integer Multiwavelet Transforms. Mathematical Problems in Engineering No. 2010 (2010), pp.1-12.
https://search.emarefa.net/detail/BIM-450946
American Medical Association (AMA)
Jing, Mingli& Huang, Hua& Liu, Wuling& Qi, Chun. A General Approach for Orthogonal 4-Tap Integer Multiwavelet Transforms. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-450946
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450946