Two-scale similarity transform(TST)presented by V.Strela is an important role in studying the multi-wavelet.The concept of general conjugate two-scale similarity transform(GCTST)is introduced in this paper.GCTST is the most universal generalization of TST.We discuss how the GCTST change the eigenvalue of the matrix by using the general inverse matrix theory,which the former authors hardly use.Then we show that GCTST can keep the approximation order of the multi-scaling function,balance the unbalanced multi-scaling function and keep the symmetry of the multi-scaling function.By the two examples,we conclude that the GCTST transform is feasible and efficient.GCTST also change the multiplicity of the multi-scaling function.
Key words
general conjugate two-scale similarity transform(GCTST) /
the multi-scaling function /
general inverse matrix /
wavelet
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References
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Footnotes
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Funding
Training Foundation for Young Teachers of Science Research Program of Universities in Xinjiang Uygur Autonomous Region (No.XJEDU2009S67)
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