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自动化与信息科学期刊
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

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自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v35.i6.20
6 pages

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

Nikolay Fedorovich Kirichenko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv
Darya I. Popiv
National University "Kievo-Mogilyanskaya Academy", Ukraine

ABSTRACT

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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