Use of the FFT to Speed Analysis of Planar Symmetrical 3- and 5-Ports by the Integral Equation Method

In a recent paper, it was shown that, for planar two-dimensional problems with symmetry, linear eigenvalue-impedence matrix entry relations may be used to simplify the integral equation method of analysis. In this paper, it is pointed out that, in the case of planar circuits with N-fold rotational s...

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Bibliographic Details
Published in:IEEE transactions on microwave theory and techniques 1985-10, Vol.33 (10), p.1073-1075
Main Author: Riblet, G.P.
Format: Article
Language:English
Subjects:
Applied sciences
Circuit properties
Circuits
Closed-form solution
Discrete Fourier transforms
Drives
Eigenvalues and eigenfunctions
Electric, optical and optoelectronic circuits
Electronics
Exact sciences and technology
Fast Fourier transforms
Impedance
Integral equations
Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits
Symmetric matrices
Transmission line matrix methods
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Summary:In a recent paper, it was shown that, for planar two-dimensional problems with symmetry, linear eigenvalue-impedence matrix entry relations may be used to simplify the integral equation method of analysis. In this paper, it is pointed out that, in the case of planar circuits with N-fold rotational symmetry, these linear relations take the form of the discrete Fourier transform (DFT). Consequently, the fast Fourier transform (FFT) may be used in its place to give a further substantial improvement in computational speed.
ISSN:0018-9480
1557-9670
DOI:10.1109/TMTT.1985.1133171