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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| Sprache: | chi ; eng |
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| container_title | Dian zi yu xin xi xue bao = Journal of electronics & information technology |
| container_volume | 30 |
| creator | Wang, Zhao-rui Lü, Shan-wei Taketsune, Nakamura |
| description | 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. |
| doi_str_mv | 10.3724/SP.J.1146.2006.01178 |
| format | Article |
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| identifier | ISSN: 1009-5896 |
| ispartof | Dian zi yu xin xi xue bao = Journal of electronics & information technology, 2011-02, Vol.30 (2), p.290-292 |
| issn | 1009-5896 |
| language | chi ; eng |
| recordid | cdi_proquest_miscellaneous_32810451 |
| source | Alma/SFX Local Collection |
| title | Determining the Local Singularity Exponents and Spectrum of the Fractal Function: Determining the Local Singularity Exponents and Spectrum of the Fractal Function |
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