Wavelet Correlation in the One-Dimensional Projection α-Model

Lin Hai; Liu Lianshou

Chinese Physics C> 1997, Vol. 21> Issue(6) : 513-522

Wavelet Correlation in the One-Dimensional Projection α-Model

Lin Hai ^, ,
Liu Lianshou

Physics Department,Yanbei Teacher's College,Datong 0370002 Institute of Particle Physics,Huazhong Normal University,Wuhan 430079

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Abstract：
One-dimensional projection of two-dimensional self-affine phase space for two typical self-affine fractals is studied,and one-dimensional projection α model is obtained.About this model,starting from characterstic function,we study its correlation densities and the wavelet correption moment.The wavelet basis functions of split number Λ=2,3,4 are found out.It turns out that the various wavelet-coefficents decouple when the second order wavelet correlation moments are considered.This is a general conclusion and model independent.

References

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Lin Hai and Liu Lianshou. Wavelet Correlation in the One-Dimensional Projection α-Model[J]. Chinese Physics C, 1997, 21(6): 513-522.

Lin Hai and Liu Lianshou. Wavelet Correlation in the One-Dimensional Projection α-Model[J]. Chinese Physics C, 1997, 21(6): 513-522. shu

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Received: 1900-01-01
Revised: 1900-01-01

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