Lifting Scheme Research of Constructing Birothogonal Wavelets
Shilai Wang
Abstract
Shilai Wang
Abstract
The properties of a wavelet function are fixed.In order to improve the property,this pa-per begins with the given birorthogonal wavelets and then constructs compactly supported and biorthogonal wavelets by the lifting scheme.The fast algorithm is made combined with the Mallat algorithm.Moreover,several examples are given to demonstrate the idea.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The properties of a wavelet function are fixed.In order to improve the property,this pa-per begins with the given birorthogonal wavelets and then constructs compactly supported and biorthogonal wavelets by the lifting scheme.The fast algorithm is made combined with the Mallat algorithm.Moreover,several examples are given to demonstrate the idea.
Key concepts: Biorthogonal system, Wavelet, Legendre wavelet, Lifting scheme, Multiresolution analysis, Scheme (mathematics), Algorithm, Property (philosophy)