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Parametrization of multifilter banks for one type of balanced symmetric multiwavelets. (Chinese. English summary) Zbl 1488.42159

Summary: It is well known that multiwavelets can possess all the desirable properties important in signal processing and image processing, such as orthogonality, short support, symmetry and high order of vanishing moment, all of which traditional scalar wavelets cannot have at the same time. In this paper, based on the lattice structure for casual FIR losses systems, we present the explicit parametrization of one type of symmetric multifilter banks which can generate balanced multiwavelets, and construct some balanced multiwavelets of certain order by using this parametrization.

MSC:

42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
60G35 Signal detection and filtering (aspects of stochastic processes)
93E11 Filtering in stochastic control theory
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