Solution stability of iterative schemes utilizing the FFT

Date
1990
Authors
Steyn Pierre
Davidson David B.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
The problem of periodicity assumed by the fast Fourier transform (FFT) when applying spectral/FFT methods is investigated by comparison with a method-of-moments (MOM) formulation. A proposed solution has been implemented. The fictitious copies resulting from the application of the FFT are clearly seen to degrade the solution. The MOM solution does not suffer from this. The method proposed by D. T. Borup and O. P. Gandhi (1987) is clearly shown to rectify the problem. However, there is a computational cost as a result of the numerical integration required for the discrete kernel in the problem investigated.
Description
Keywords
Mathematical Techniques - Iterative Methods, Method of Moments, Periodicity Problems, Spectral/FFT Methods, Mathematical Transformations
Citation
IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
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