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Volume 30 Issue 2
Jan.  2011
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Wang Zhao-rui, Lü Shan-wei, Nakamura Taketsune. Determining the Local Singularity Exponents and Spectrum of the Fractal Function[J]. Journal of Electronics & Information Technology, 2008, 30(2): 290-292. doi: 10.3724/SP.J.1146.2006.01178
Citation: Wang Zhao-rui, Lü Shan-wei, Nakamura Taketsune. Determining the Local Singularity Exponents and Spectrum of the Fractal Function[J]. Journal of Electronics & Information Technology, 2008, 30(2): 290-292. doi: 10.3724/SP.J.1146.2006.01178

Determining the Local Singularity Exponents and Spectrum of the Fractal Function

doi: 10.3724/SP.J.1146.2006.01178
  • Received Date: 2006-08-09
  • Rev Recd Date: 2007-01-11
  • Publish Date: 2008-02-19
  • Traditional partition function-based multifractal formalism provides only global estimates of singularity exponents, no local information is offered. However, it is more important to recover the local singularity. A novel algorithm for determining the local singularity exponents is proposed, which provides the local scaling information of interest, whilst a singularity-spectrum-like histogram is constructed to describe the global statistical distribution of the local singularity strengths. The validity is verified by numerical experiment.
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