Determining the Local Singularity Exponents and Spectrum of the Fractal Function: Determining the Local Singularity Exponents and Spectrum of the Fractal Function
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 p...
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Veröffentlicht in: | Dian zi yu xin xi xue bao = Journal of electronics & information technology 2011-02, Vol.30 (2), p.290-292 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | chi ; eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | 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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ISSN: | 1009-5896 |
DOI: | 10.3724/SP.J.1146.2006.01178 |