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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.

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