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Journal of Automation and Information Sciences

Publication de 12  numéros par an

ISSN Imprimer: 1064-2315

ISSN En ligne: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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A Method of Recursive Generation of Orthogonal Transformations of Signals and Images

Volume 35, Numéro 6, 2003, 6 pages
DOI: 10.1615/JAutomatInfScien.v35.i6.20
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RÉSUMÉ

A new method of constructions of matrices of orthogonal transformation is presented. The method is based on a special transposition of components of the first column-vector of the generated matrix, and on certain choice of sign for forming components of all remaining column-vectors of this matrix. The algorithm corresponding to this method allows a recursive representation convenient for software implementation. We present an example of generation of orthogonal transformation matrices, where initial column-vectors are determined by known functions of a discrete argument, systems of orthonormalized functions of a continuous argument with selection of known generating functions, and also orthonormalized masks corresponding to base two-dimensional images.

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