Development of computationally efficient biorthogonal wavelets

Authors

MEHMET CEMİL KALE

DOI

10.3906/elk-2001-27

Abstract

Daubechies 5-tap/3-tap (Daub 5/3) wavelet and Kale 5-tap/3-tap (Kale 5/3) wavelet are computationally efficient wavelets which can be implemented by bitwise shifts and additions in the lifting scheme. In this work, presented is a formulation for computationally efficient wavelet prediction (P) and update (U) filters of two-channel lifting structures. Their subband decomposition scheme counterparts are also given. This research bases itself on the Daub 5/3 and Kale 5/3 wavelets and develops a formula for wavelets (which can be implemented with bitwise shifts and additions) that are derived from these two wavelets. The proposed wavelets are tried on 16 test images for three-level wavelet decompositions and better decorrelation results are achieved for the proposed wavelets for higher-level decompositions.

Keywords

Biorthogonal wavelets, lifting scheme, filter banks, filter design, integer-to-integer wavelet transform

First Page

110

Last Page

121

Recommended Citation

KALE, MEHMET CEMİL (2021) "Development of computationally efficient biorthogonal wavelets," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 29: No. 1, Article 8. https://doi.org/10.3906/elk-2001-27
Available at: https://journals.tubitak.gov.tr/elektrik/vol29/iss1/8