Construction of Biorthogonal Multiwavelets Using the Lifting Scheme
نویسندگان
چکیده
منابع مشابه
CONSTRUCTION OF BIORTHOGONAL MULTIWAVELETS USING THE LIFTING SCHEME SAY SONG GOHy, QINGTANG JIANGy AND TAO XIAz
The lifting scheme has been found to be a exible method for constructing scalar wavelets with desirable properties. Here it is extended to the construction of multiwavelets. It is shown that any set of compactly supported biorthogonal multiwavelets can be obtained from the Lazy matrix lters with a nite number of lifting steps. Based on the proposed lifting scheme, multiwavelet transforms that m...
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We present the lifting scheme, a new idea for constructing compactly supported wavelets with compactly supported duals. The lifting scheme uses a simple relationship between all multiresolution analyses with the same scaling function. It isolates the degrees of freedom remaining after fixing the biorthogonality relations. Then one has full control over these degrees of freedom to custom design ...
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In this paper we present the basic idea behind the lifting scheme, a new construction of biorthogonal wavelets which does not use the Fourier transform. In contrast with earlier papers we introduce lifting purely from a wavelet transform point of view and only consider the wavelet basis functions in a later stage. We show how lifting leads to a faster, fully in-place implementation of the wavel...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2000
ISSN: 1063-5203
DOI: 10.1006/acha.2000.0318