Construction of balanced biorthogonal multiscaling functions

Peng Zhang, Lihong Cui · Journal of Beijing University of Chemical Technology · 2009

Balanced biorthogonal multiscaling functions have been constructed using linear combinations of a pair of existing ones with compact support in order to solve problems in the application of unbalanced biorthogonal multiwavelets. Furthermore,by setting some realizable conditions on masks and designing nonlinear equations,we can obtain new scaling functions which have more desirable properties when the original scaling functions are of certain approximation order.

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