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Discrete Chrestenson transform - MaRDI portal

Discrete Chrestenson transform (Q764089)

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scientific article; zbMATH DE number 6014103
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Discrete Chrestenson transform
scientific article; zbMATH DE number 6014103

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    Discrete Chrestenson transform (English)
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    13 March 2012
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    The author considers some generalizations of the discrete Fourier transform and the discrete Walsh transform. The discrete Chrestenson-Kronecker transform is generated by a matrix which is a Kronecker product of Fourier matrices. The discrete Chrestenson-Lévy transform is generated by a matrix which is a new direct product of Fourier matrices. The author studies the properties of both discrete Chrestenson transforms and presents corresponding fast algorithms. Numerical tests and applications are not given.
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    discrete Chrestenson transform
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    discrete Fourier transform
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    discrete Walsh transform
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    Kronecker product
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    fast algorithm
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    numerical examples
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    discrete Chrestenson-Kronecker transform
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    discrete Chrestenson-Lévy transform
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