DESIGN OF MATCHED WAVELET USING FRACTIONALLY DELAYED FILTER

Abstract

The wavelet transform has emerged as an alternative to Fourier-based analysis techniques for the analysis of non-stationary signals. Wavelet transforms do not have a unique basis, which is one of the reasons why wavelets are finding applications in diverse fields and is a topic of current research. Since the basis here is not unique, it is natural to seek a wavelet that is best in a particular context. Particularly, in the context of signal or image compression, an issue of great research interest is to find a wavelet that can provide the best representation for a given signal. 0rthogonal and biorthogonal wavelets were designed in our work, they are maximally regular, but both of these techniques for designing wavelets were independent of the signals being analyzed. Work has also been done to search for best basis in families of orthonormal bases constructed with wavelet packets and is based on the criterion of minimal reconstruction error of the underlying signal, but instead of con...