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- Title
A discrete Hartley transform based on Simpson's rule.
- Authors
Singh, P.; Singh, V.
- Abstract
The Hartley transform is an integral transformation thatmaps a real valued function into a real valued frequency function via the Hartley kernel, thereby avoiding complex arithmetic as opposed to the Fourier transform. Approximation of the Hartley integral by the trapezoidal quadrature results in the discrete Hartley transform, which has proven a contender to the discrete Fourier transform because of its involutory nature. In this paper, a discrete transform is proposed as a real transform with a convolution property and is an alternative to the discreteHartley transform.
- Subjects
HARTLEY transforms; INTEGRAL transforms; FOURIER transforms; APPROXIMATION theory; DISCRETE Hartley transforms
- Publication
Mathematical Methods in the Applied Sciences, 2015, Vol 38, Issue 18, p4702
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.3384