WAVELETS AND MULTIFRACTAL FORMALISM FOR SINGULAR SIGNALS - APPLICATION TO TURBULENCE DATA
WAVELETS AND MULTIFRACTAL FORMALISM FOR SINGULAR SIGNALS - APPLICATION TO TURBULENCE DATA
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DOI：
10.1103/physrevlett.67.3515
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发表时间：
1991-12-16
影响因子：
8.6
通讯作者：
ARNEODO, A
中科院分区：
文献类型：
--
作者：
MUZY, JF;BACRY, E;ARNEODO, A
利用小波分解将多重分形理论推广到奇异信号。奇异性谱直接从由小波变换模极大值定义的配分函数的标度行为确定。具有递归结构的分形信号的图示，例如，魔鬼的楼梯，显示。充分发展的湍流数据和布朗信号的应用报告。
The wavelet decomposition is used to generalize the multifractal formalism to singular signals. The singularity spectrum is directly determined from the scaling behavior of partition functions that are defined from the wavelet transform modulus maxima. Illustrations on fractal signals with a recursive structure, e.g., devil's staircases, are shown. Applications to fully developed turbulence data and Brownian signals are reported.