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On 1/f Noise

机译:开1 / f噪音

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摘要

Due to the fact that 1/f noise gains the increasing interests in the field of biomedical signal processing and living systems, we present this introductive survey that may suffice to exhibit the elementary and the particularities of 1/f noise in comparison with conventional random functions. Three theorems are given for highlighting the particularities of 1/f noise. The first says that a random function with long-range dependence (LRD) is a 1/f noise. The second indicates that a heavy-tailed random function is in the class of 1/f noise. The third provides a type of stochastic differential equations that produce 1/f noise.
机译:由于1 / f噪声在生物医学信号处理和生活系统领域中的兴趣日益浓厚,因此,我们提出这种介绍性调查,与传统的随机函数相比,该调查足以显示1 / f噪声的基本特征和特殊性。 。给出了三个定理以突出1 / f噪声的特殊性。第一个说具有远距离依赖性(LRD)的随机函数是1 / f噪声。第二个表明重尾随机函数属于1 / f噪声类别。第三个提供了产生1 / f噪声的一类随机微分方程。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第12期|673648.1-673648.23|共23页
  • 作者

    Ming Li; Wei Zhao;

  • 作者单位

    Department of Computer and Information Science, University of Macau, Avenida Padre Tomas Pereira, Taipa, Macau,School of Information Science & Technology, East China Normal University, Shanghai 200062, China;

    Department of Computer and Information Science, University of Macau, Avenida Padre Tomas Pereira, Taipa, Macau;

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