Title :
Frequency domain Volterra filters in terms of distributions
Author :
Amblard, Pierre-Olivier ; Moisan, Eric
Author_Institution :
CEPHAG, Saint-Martin d´´Heres, France
Abstract :
The Fourier transform of the output of a Volterra filter is given in terms of Schwartz distributions. This theory is developed in order to handle input signals that do not possess a Fourier transform in the usual sense. To illustrate this, the authors apply the result to the case of a sinusoidal input and to the case of a sampled and periodized signal.<>
Keywords :
Fourier transforms; digital filters; filtering and prediction theory; frequency-domain analysis; statistical analysis; Fourier transform; Schwartz distributions; frequency domain Volterra filters; input signals; output; sampled periodized signal; sinusoidal input; Filtering theory; Fourier transforms; Frequency domain analysis; H infinity control; Integral equations; Nonlinear filters; Power harmonic filters;
Journal_Title :
Signal Processing Letters, IEEE
