| 分形模型的平稳性分析 |
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| 引用本文： | 薛东辉,朱耀庭,朱光喜,熊艳. 分形模型的平稳性分析[J]. 系统工程与电子技术, 1996, 0(3) |
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| 作者姓名： | 薛东辉 朱耀庭 朱光喜 熊艳 |
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| 作者单位： | 华中理工大学电子与信息工程系 |
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| 摘 要： | 分数布朗运动模型是描述具有统计自相似随机过程现象的一种模型。本文讨论了分数布朗运动模型在正交小波变换下的性质，指出了分数布朗运动模型不稳定的原因，从而证明了分数布朗运动通过一个带通的滤波器后为一具有统计自相似性的平稳过程的一般结论。
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| 关 键 词： | 布朗运动，模型研究，正交小波变换，带通滤波器 |
The Generalized Stationarity Analysis for Fractal Model |
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| Xue Donghui, Zhu Yaoting, Zhu Guangxi and Xiong YanDepartmenl of the Electronics and Information Engineering.HuaZhong University of Science and Technology,Wuhan. The Generalized Stationarity Analysis for Fractal Model[J]. System Engineering and Electronics, 1996, 0(3) |
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| Authors: | Xue Donghui Zhu Yaoting Zhu Guangxi Xiong YanDepartmenl of the Electronics Information Engineering.HuaZhong University of Science Technology Wuhan |
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| Affiliation: | Xue Donghui, Zhu Yaoting, Zhu Guangxi and Xiong YanDepartmenl of the Electronics and Information Engineering.HuaZhong University of Science and Technology,Wuhan 430074 |
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| Abstract: | The fractional Brownian motion is a model for the characterization of random process with statistic self-similarity. In this paper, the property of orthogonal wavelet transfonn offractional Brownian motion is analyzed and the non stationary reason for fractional Brownian motion is pointed out. The general conclusion that the output of fractional Brownian motion through abandpass filter is a generalized stationary process with statistic self-similarity is proven. |
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| Keywords: | Fractional Brownian motion Orthogonal wavelet transform Multiscale analysis Bandpass filter Generalized stationarity. |
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