NDLI: A new parametric transform

Content Provider	IEEE Xplore Digital Library
Author	Bouguezel, S. Ahmad, M.O. Swamy, M.N.S.
Copyright Year	2008
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, QC (Ahmad, M.O.; Swamy, M.N.S.) \|\| Dept. of Electron., Univ. of Setif, Setif (Bouguezel, S.)
Abstract	In this paper, a novel method for the parameterization of the Hadamard matrices is proposed. The resulting parametric Hadamard matrix of order N has N/2-1 independent parameters. It is a normalized matrix and its inverse can easily be obtained by taking the reciprocal of each of the N/2-1 independent parameters in the forward matrix and transposing the resulting matrix. The corresponding transform reduces to a new parametric integer transform when the independent parameters in the proposed matrix operator are all from the set $\{plusmn2^{m},$ plusmn $2^{n}$ j, $2^{l}$ (plusmn1plusmn j)}, where m, n and l are chosen positive or negative integers. Other interesting special cases of the proposed transform can also be obtained. In addition, the proposed parametric transform can be computed using an algorithm having a very simple structure. This transform can be used in many transform-based applications. For example, it can be employed in watermarking and encryption where its independent parameters can be used as an additional secret key.
Starting Page	1
Ending Page	4
File Size	101635
Page Count	4
File Format	PDF
ISBN	9781424426270
DOI	10.1109/ICSCS.2008.4746897
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-11-07
Publisher Place	Tunisia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fourier transforms Circuits and systems Walsh-Hadamard transform Discrete Fourier transforms Watermarking watermarking and encryption Discrete transforms parametric transform Hardware Error correction Error correction codes Cryptography Discrete cosine transforms
Content Type	Text
Resource Type	Article

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