ABSTRACT

Wavelet analysis, which is an offspring of Fourier analysis, comprises two main branches, the continuous wavelet transform and the discrete wavelet transform. In the former, the function to be analyzed is represented by an integral transform, while in the latter it is represented by a series. But unlike the Fourier transform, which maps a function of n variables into another function of n variables, the wavelet transform maps a function of n variables into a function of 2n variables, hence, allowing some kind of time-frequency or phase-space representation.