Dyadic affine wavelet packet

Li Yun · Journal of Zhejiang University(Sciences Edition) · 2002

The study of wavelet packets has attracted interest of many mathematicians since its introduction. Up to now, rich results have been obtained about orthogonal and nonorthogonal wavelet packets, separable and nonseparable wavelet packets in \%L\%\+2(R\+S), where \%S\% is a fixed positive integer. CHUI and LI introduced the interpolating multiresolution analysis in the space of bounded and uniformly continuous functions defined on R and gave the dyadic affine wavelet decomposition of the functions in this space. The dyadic affine wavelet packet in this space is introduced and addressed in terms of functional wavelet transform. For any function in this space, a dyadic affine wavelet packet decomposition with pointwise convergence is obtained.

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