文档介绍：A FEEDFORWARD WORK
F'OR THE WAVELET POSITION
OF DISCRETE TIME SIGNALS
Sylvie Marcos and Messaoucl Benitlir
Laboratoire des Signaux et SystPmes, .
Plateau de Moulon, 91 192 (iifsur-Yvette, France
Phone : (33) 1 69 41 $0 40, Fax : (33) 1 69 41 30 60
E-mail : Marcos(
Abstract - In this paper a feedforward work with sigrnoYdal
activation functions is proposed to perform the wavelet po-
sition of a discrete time signals.
1 INTRODUCTION
The problem of representing a signal as an expansion of elementary functions
is very important in signal processing. The aim of such a representation is
often to reveal temporal and frequential properties of a signal in order to
characterize and process this signal. For example, the Fourier expansion of
a signal with respect to a trigonometric system has been widely used for the
frequency analysis of a signal. The distribution of coefficients appearing in
the Fourier expansion provides information about the frequency
of the original signal. However, in a non stationary context, the Fourier ex-
pansion fails in providing information. It is then useful to be able to obtain
an expansion of a signal in terms of elementary functions are well IC-
calized both in time and frequency. The wavelet expansion of a signal has
appeared to be a good wa