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Publication Type : Conference Paper
Publisher : Second International Conference on Resource Utilization and Intelligent Systems
Source : Second International Conference on Resource Utilization and Intelligent Systems, INCRUIS (2008)
Campus : Coimbatore
School : School of Engineering
Center : Computational Engineering and Networking
Department : Electronics and Communication
Year : 2008
Abstract : In this paper we show the intimate relationship between above concepts and interpretation of the results from a filtering point of view. It is shown that, balancing conditions in Multi-wavelets are basically equivalent to regularity and vanishing moment conditions when interpreted in terms of filtering properties of coefficients in refinement relation. It is shown that the regularity, vanishing moments and balancing conditions in case of Multi-wavelets and M-band wavelets can be brought under a similar framework as that employed in case of scalar biorthogonal wavelets. It is also shown that balancing conditions in Multi-wavelets are basically equivalent to regularity and vanishing moment conditions when interpreted in terms of filtering properties of coefficients in refinement relation. The postulations are illustrated by examples.
Cite this Research Publication : Dr. Soman K. P. and Narayanankutty, K. A., “Regularity, Vanishing Moment and Balancing Conditions in Multi-wavelets”, in Second International Conference on Resource Utilization and Intelligent Systems, INCRUIS, 2008.