A discrete Fourier transform based on Simpson's rule.
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Date
2013
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Abstract
Fourier 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.
Description
M. Sc. University of KwaZulu-Natal, Durban 2013.
Keywords
Fourier analysis., Fourier transformations., Eigenvalues., Matrices., Theses--Applied mathematics.