Fractal Brownian Motion Model of Multipath Fading Channels

HU Gang; ZHU Shi-hua; XIE Bo

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Fractal Brownian Motion Model of Multipath Fading Channels

更新时间：2025-07-16

- Fractal Brownian Motion Model of Multipath Fading Channels
- Acta Electronica Sinica Vol. 31, Issue 1, Pages: 89-91(2003)
- 作者机构：
  
  西安交通大学电子与信息工程学院,陕西,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN914.4
- Published：2003
- 稿件说明：
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HU Gang, ZHU Shi-hua, XIE Bo. Fractal Brownian Motion Model of Multipath Fading Channels[J]. Acta Electronica Sinica, 2003, 31(1): 89-91.
DOI：

HU Gang, ZHU Shi-hua, XIE Bo. Fractal Brownian Motion Model of Multipath Fading Channels[J]. Acta Electronica Sinica, 2003, 31(1): 89-91. DOI：

摘要

本文旨在将分形理论引入多径衰落信道的研究

从非线性科学的角度出发建立了多径信道的分数布朗运动模型.通过探讨多径信号的增量统计分布、统计自相似性、广义功率谱和分形维数

揭示了多径衰落与分数布朗运动间的内在联系;指出信号的分维是描述无线信道传播特性的重要参数;在分形模型的基础上

对多径信号进行了重构.实验结果表明

无线信道的分数布朗运动模型比传统的随机模型能更有效地刻划和描述多径衰落的行为.

Abstract

This paper introduces fractal theory into the research of multipath fading channels

and a novel Fractal Brownian Motion (FBM) model is established.By studying the increments' probability distribution

statistical self-similarity

generalized power spectra and fractal dimension of multipath fading signals

it shows the inherent relationship between the multipath fading and FBM

and that fractal dimension is a key parameter for describing the signal propagation in wireless channels.Finally

we apply FBM model to the reconstruction of multipath signals

yielding reasonably accurate replication.Simulation results indicate that the FBM model could describe multipath fading phenomena more accurately and effective than the conventional statistical models.

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