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Novel biorthogonal MRAs using compact wavelet and bandlimited dual pairing

A scheme that generates a pair of dual wavelets where one is compactly supported in time and the other is bandlimited is proposed. The wavelets and associated scaling functions give rise to a biorthogonal decomposition of the input. An example is provided to show that, with this scheme, it is possible to generate duals for scaling functions constructed form linear combinations of simpler scaling functions and their dilations.