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The Discrete Cosine Transform over Prime...

de Souza, M. M. Camp...

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The Discrete Cosine Transform over Prime Finite Fields by de Souza, M. M. Campello ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	12-03-2015
Summary	This paper examines finite field trigonometry as a tool to construct trigonometric digital transforms. In particular, by using properties of the k-cosine function over GF(p), the Finite Field Discrete Cosine Transform (FFDCT) is introduced. The FFDCT pair in GF(p) is defined, having blocklengths that are divisors of (p+1)/2. A special case is the Mersenne FFDCT, defined when p is a Mersenne prime. In this instance blocklengths that are powers of two are possible and radix-2 fast algorithms can be used to compute the transform.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1503.03763

Citation

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AMA 11th EditionReferences

de Souza, M. M. Campello. The Discrete Cosine Transform over Prime Finite Fields. N.A. March 12, 2015. Accessed October 01, 2025. https://online.provdatabase.com/cite/18434

APA 7th EditionReferences

de Souza, M. M. Campello. (2015). The Discrete Cosine Transform over Prime Finite Fields. N.A. https://online.provdatabase.com/cite/18434

Chicago 17th EditionReferences

de Souza, M. M. Campello. The Discrete Cosine Transform over Prime Finite Fields. N.A. 2015. https://online.provdatabase.com/cite/18434

HarvardReferences

de Souza, M. M. Campello. (2015). The Discrete Cosine Transform over Prime Finite Fields. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18434. (Accessed 01 October 2025).

Harvard AustraliaReferences

de Souza, M. M. Campello, 2015, The Discrete Cosine Transform over Prime Finite Fields, N.A, viewed 01 October 2025, <https://online.provdatabase.com/cite/18434>

MLA 9th EditionWorks Cited

de Souza, M. M. Campello. The Discrete Cosine Transform over Prime Finite Fields. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18434.

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