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Method for structuring the Fourier discrete cosine transform in the modular arithmetic of the Haar-Krestenson number-theoretic basis

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Publication:1795523
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DOI10.1007/s10559-018-0051-yzbMath1401.65158OpenAlexW2803994132MaRDI QIDQ1795523

B. B. Krulikovskyi, Ya. M. Nykolaichuk, V. Ya. Pikh, N. Ya. Vozna

Publication date: 16 October 2018

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-018-0051-y

zbMATH Keywords

Fourier cosine transformspectrummodular arithmetic


Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50)


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Method for implementing the arithmetic operation of addition in residue number system based on the use of the principle of circular shift, Algorithms for solving problems of cryptographic protection of color image pixels in the Rademacher's basis and residue number systems



Cites Work

  • A method for arithmetic comparison of data represented in a residue number system
  • Integer cosine transforms for high-efficiency image and video coding
  • A method to construct a large-size simple integer cosine transform for high-resolution image and video coding
  • \(d\)-\(MP\)-modules and their localizations
  • Unnamed Item
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