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Frequency domain Volterra filters in terms of distributions

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2 Author(s)
P. -O. Amblard ; CEPHAG, Saint-Martin d'Heres, France ; E. Moisan

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.<>

Published in:

IEEE Signal Processing Letters  (Volume:1 ,  Issue: 11 )