ABSTRACT
The wavelet transform is a new mathematical tool developed mainly since the middle of the 1980s. It is efficient for local analysis of nonstationary and fast transient wideband signals. The wavelet transform is a mapping of a time signal to the timescale joint representation, that is used in the short-time Fourier transform, the Wigner distribution and the ambiguity function. The temporal aspect of the signals is preserved. The wavelet transform provides multiresolution analysis with dilated windows. The higher frequency analysis is done using narrower windows and the lower frequency analysis is done using wider windows. Thus, the wavelet transform is a constant-Q analysis.
