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Publication Type : Journal Article
Publisher : Proceedings of International Conference on Advances in Information and Communication Technologies, Communications in Computer and Information Science
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)
Keywords : Analysis and synthesis filters, B splines, Biorthogonal wavelet, Design, Information technology, Non-zero coefficients, Orthogonal wavelets, Straight-forward method, Symmetry properties, Vanishing moment
Campus : Coimbatore
School : School of Engineering
Department : Computer Science
Year : 2010
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.
Cite this Research Publication : T. Arathi, Soman, K. P., and Parameshwaran, L., “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.