The Assessment of the Wavelet Transform Theory: Application to the Electrocardiogram Signal

Abstract

We present in this work the efficiency of the wavelet transform, in exploring non-stationary signals such as those containing transients and discontinuities, and time varying spectra signals. We examine the nonstationarity problem as well as the alternative solutions suggested to deal with like the time-frequency analysis. In this context, we have applied the continuous wavelet transform –CWT- to a set of classical types of signals showing each a particular feature and to a real signal, which is the electrocardiogram ECG signal to evaluate the CWT efficiency. The obtained results demonstrated the higher ability of the wavelet transform in localizing specified temporal and spectral features of a signal.