Publication

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.