Design of modified Matched Wavelet Design using Lagrange interpolation

Abstract

This paper introduces a technique for designing an optimized matched wavelet by fractionally delaying the coefficients of the matched filter (FDMW). The method is an extension to Matched Wavelets Design process where the filter coefficients are statistically matched to the non-stationary discrete data. Filter coefficients obtained for such unit delay matched filters (UDW) have been fractionally delayed. Fractionally delayed filter coefficients are used to design Matched Wavelet followed by computation of the energy compaction ratio. The results show a significant improvement in the compression using FDMW over UDW. Designed FDM wavelets have lower energy compaction ratio and higher compression rate than given Unit Delay Wavelets.