Title :
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
fDate :
3/1/1994 12:00:00 AM
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;
Journal_Title :
Microwave and Guided Wave Letters, IEEE
