Dual non-negative rational symbols with arbitrary approximation order. (English) Zbl 1069.65151
The construction of dual filters with a prescribed approximation order is considered. Specially, when the primer filter is nonnegative, the authors give a method to construct a nonnegative dual with rational symbol.
Reviewer: Chengshu Wang (Denver)
MSC:
65T60 | Numerical methods for wavelets |
42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
Keywords:
dual filters; rational symbols; non-negative symbol; Bézout identity; wavelets in signal processing.References:
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