Performance Comparison between Orthogonal, Bi-Orthogonal and Semi-Orthogonal Wavelets

摘要

The main work in the wavelet analysis is to find a good wavelet basis to perform an optimal decomposition. The goal of the proposed study is to obtain a basis function that can give optimal information from PQ signal. The study presents the wavelet basis to obtain the reconstruction and decomposition filter coefficients for orthogonal, bi-orthogonal and semi-orthogonal wavelet basis. In this study, the task is to choose better wavelet basis which has been used for PQ signal compression or decomposition among orthogonal, bi-orthogonal and semi-orthogonal wavelet basis. Certain criterion have been adopted to decide the best basis for the decomposition of the PQ signal which are as energy compaction ratio (ECR), absolute mean square error (AMSE), percent residual difference (PRD) and peak signal to noise ratio (PSNR). Numbers of experiments have been performed on real time PQ signal. The comparisons have been made in tabular form to choose the best wavelet basis.