Show simple item record

dc.contributor.advisorSingh, P.
dc.contributor.advisorSingh, V.
dc.creatorRamsunder, Ashai.
dc.date.accessioned2018-10-02T12:58:50Z
dc.date.available2018-10-02T12:58:50Z
dc.date.created2015
dc.date.issued2015
dc.identifier.urihttp://hdl.handle.net/10413/15595
dc.descriptionMaster of Science in Mathematics, Statistics and Computer Science. University of KwaZulu-Natal, Durban 2015.en_US
dc.description.abstractThe Discrete Hartley Transform and Discrete Fourier Transform are classical transfor- mations designed for e cient computations in the frequency domain. We introduce a relatively new transformation based on the existing Discrete Hartley Transform by applying Simpson's quadrature for N = 4m + 2 quadrature nodes. The majority of our investigation involves exploring the mathematical properties satis ed by our newly derived transformation. We formulate the convolution and cross correlation properties both in the real and frequency domain. An intensive spectral analysis is performed to ascertain the multiplicities of the eigenvalues corresponding to the transformation matrix.en_US
dc.language.isoen_ZAen_US
dc.subjectTheses - Applied Mathematics.en_US
dc.subject.otherDiscrete Hartley Transform.en_US
dc.subject.otherDiscrete Fourier Transform.en_US
dc.subject.otherTransformation Matrix.en_US
dc.titleA discrete Hartley transform based on Simpson's rule.en_US
dc.typeThesisen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record