An orthogonal almost-periodic Fourier transform for use in nonlinear circuit simulation

Author

Rodrigues, Paulo José Cunha

Author_Institution

Div. Electron., Inst. Tecnologico de Aeronaut., Sao Jose dos Campos, Brazil

Volume

4

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

74

Lastpage

76

Abstract

This letter describes a new Almost-Periodic Fourier Transform (APFT) for use in nonlinear circuit simulation. First, a rigorous APFT theory based on the two norm is summarized. Then, the new transform is introduced. It is simple and fast to implement and the number of sampling points required is usually not much larger than the theoretical minimum. Aliasing effects are minimized with this APFT since the columns of the matrix implementation of its inverse are exactly orthogonal. Finally, results that confirm the performance expected from the theory are presented.<>

Keywords

Fourier transforms; circuit analysis computing; nonlinear network analysis; Fourier coefficient; aliasing effects minimization; matrix columns; nonlinear circuit simulation; orthogonal almost-periodic Fourier transform; sampling points; two norm; Circuit simulation; Eigenvalues and eigenfunctions; Equations; Fourier transforms; Frequency; Harmonic analysis; Nonlinear circuits; Sampling methods; Upper bound; Vectors;

fLanguage

English

Journal_Title

Microwave and Guided Wave Letters, IEEE

Publisher

ieee

ISSN

1051-8207

Type

jour

DOI

10.1109/75.275585

Filename

275585