Multifractal spectrum and calculation

Zulin Wang; Yinqing Zhou

Multifractal spectrum and calculation

Zulin Wang^*
, Yinqing Zhou

^*Corresponding author for this work

Peking University

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Multifractal theory is an effective tool for the singularity processing of signal, but only a few special sets have analytic multifractal spectrum expression. One of the formal system of multifractal theory was introduced and an approach to calculate the multifractal spectrum of general sets was presented. The approach makes use of the dynamic link data structure and decreases greatly the demand for memory. By means of the approach, the multifractal spectrum of Cantor set was calculated. The result is in accordance with the theoretical analysis, showing that the presented algorithm is valid.

Original language	English
Pages (from-to)	256-258
Number of pages	3
Journal	Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics
Volume	26
Issue number	3
State	Published - Jun 2000
Externally published	Yes

Cite this

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title = "Multifractal spectrum and calculation",

abstract = "Multifractal theory is an effective tool for the singularity processing of signal, but only a few special sets have analytic multifractal spectrum expression. One of the formal system of multifractal theory was introduced and an approach to calculate the multifractal spectrum of general sets was presented. The approach makes use of the dynamic link data structure and decreases greatly the demand for memory. By means of the approach, the multifractal spectrum of Cantor set was calculated. The result is in accordance with the theoretical analysis, showing that the presented algorithm is valid.",

author = "Zulin Wang and Yinqing Zhou",

year = "2000",

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language = "英语",

volume = "26",

pages = "256--258",

journal = "Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics",

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publisher = "Beijing University of Aeronautics and Astronautics (BUAA)",

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T1 - Multifractal spectrum and calculation

AU - Wang, Zulin

AU - Zhou, Yinqing

PY - 2000/6

Y1 - 2000/6

N2 - Multifractal theory is an effective tool for the singularity processing of signal, but only a few special sets have analytic multifractal spectrum expression. One of the formal system of multifractal theory was introduced and an approach to calculate the multifractal spectrum of general sets was presented. The approach makes use of the dynamic link data structure and decreases greatly the demand for memory. By means of the approach, the multifractal spectrum of Cantor set was calculated. The result is in accordance with the theoretical analysis, showing that the presented algorithm is valid.

AB - Multifractal theory is an effective tool for the singularity processing of signal, but only a few special sets have analytic multifractal spectrum expression. One of the formal system of multifractal theory was introduced and an approach to calculate the multifractal spectrum of general sets was presented. The approach makes use of the dynamic link data structure and decreases greatly the demand for memory. By means of the approach, the multifractal spectrum of Cantor set was calculated. The result is in accordance with the theoretical analysis, showing that the presented algorithm is valid.

UR - https://www.scopus.com/pages/publications/0034198131

M3 - 文章

AN - SCOPUS:0034198131

SN - 1001-5965

VL - 26

SP - 256

EP - 258

JO - Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics

JF - Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics

IS - 3

ER -

Multifractal spectrum and calculation

Abstract

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