Publication Type:

Journal Article

Source:

Proceedings of International Conference on Advances in Information and Communication Technologies, Communications in Computer and Information Science, Volume 101, Number 3, Kochi, Kerala, p.672-674 (2010)

ISBN:

9783642157653

URL:

http://www.scopus.com/inward/record.url?eid=2-s2.0-84880721141&partnerID=40&md5=9da8807f262f137e291fac7d9da681ed

Keywords:

Analysis and synthesis filters, B splines, Biorthogonal wavelet, Design, Information technology, Non-zero coefficients, Orthogonal wavelets, Straight-forward method, Symmetry properties, Vanishing moment

Abstract:

This paper gives a simple and straightforward method for designing spline based biorthogonal wavelets. Biorthogonal wavelets differ from orthogonal wavelets in that the former has more flexibility in its design. This is because, they enable the design of wavelets which are symmetric and smooth, which is not possible in the case of orthogonal wavelets (except Haar wavelet). However, the compromise made to achieve the symmetry property is that the non-zero coefficients in the analysis and synthesis filters are not the same for biorthogonal wavelets. The existing algorithm for spline biorthogonal wavelet design involves complex formulas, whose proof is also not easily understandable. In this paper, we present a very simple way of constructing spline based biorthogonal wavelets, which results in the same nonzero coefficients for the analysis and synthesis filters. © Springer-Verlag Berlin Heidelberg 2010.

Notes:

cited By (since 1996)0; Conference of org.apache.xalan.xsltc.dom.DOMAdapter@1d029dee ; Conference Date: org.apache.xalan.xsltc.dom.DOMAdapter@16ce8323 Through org.apache.xalan.xsltc.dom.DOMAdapter@50037a87; Conference Code:98068

Cite this Research Publication

T. Arathi, Soman, K. P., and Parameswaran Latha, “Spline Biorthogonal Wavelet Design”, Proceedings of International Conference on Advances in Information and Communication Technologies, Communications in Computer and Information Science, vol. 101, pp. 672-674, 2010.