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A discrete Fourier transform based on Simpson's rule.

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dc.contributor.advisorSingh, Pravin.
dc.contributor.advisorSingh, Virath Sewnath.
dc.contributor.authorSibandze, Dan Behlule.
dc.date.accessioned2015-01-05T07:36:06Z
dc.date.available2015-01-05T07:36:06Z
dc.date.created2013
dc.date.issued2013
dc.descriptionM. Sc. University of KwaZulu-Natal, Durban 2013.en
dc.description.abstractFourier transforms are mathematical operations which play a vital role in the analysis of mathematical models for problems originating from a broad spectrum of elds. In this thesis, we formulate a discrete transform based on Simpson's quadrature for 4m + 2 quadrature nodes and analyse its various properties and provide detailed proofs thereof. In addition, we make applications to encryption and watermarking in the frequency domain.en
dc.identifier.urihttp://hdl.handle.net/10413/11809
dc.language.isoen_ZAen
dc.subjectFourier analysis.en
dc.subjectFourier transformations.en
dc.subjectEigenvalues.en
dc.subjectMatrices.en
dc.subjectTheses--Applied mathematics.en
dc.titleA discrete Fourier transform based on Simpson's rule.en
dc.typeThesisen

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