Analysis and Synthesis of Two Dimensional Fractional Brownian Motion Based on Wavelet

MAO Xia; CHEN Bin; ZHU Gang; Muta Itsuya

您当前的位置：

首页 >

文章列表页 >

Analysis and Synthesis of Two Dimensional Fractional Brownian Motion Based on Wavelet

更新时间：2025-07-16

- Analysis and Synthesis of Two Dimensional Fractional Brownian Motion Based on Wavelet
- Acta Electronica Sinica Vol. 31, Issue 6, Pages: 825-828(2003)
- 作者机构：
  
  1. 北京航空航天大学电子信息工程学院,北京,100083
  2. 中科院空间科学与应用研究中心,北京,100080
  3. 日本京都大学电气工程系,京都,606-8501
  4. 北京航空航天大学电子信息工程学院北京,100083
  5. 中科院空间科学与应用研究中心北京,100080
  6. 日本京都大学电气工程系京都,606-8501
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.73
- Published：2003
- 稿件说明：
移动端阅览
MAO Xia, CHEN Bin, ZHU Gang, et al. Analysis and Synthesis of Two Dimensional Fractional Brownian Motion Based on Wavelet[J]. Acta Electronica Sinica, 2003, 31(6): 825-828.
DOI：

MAO Xia, CHEN Bin, ZHU Gang, et al. Analysis and Synthesis of Two Dimensional Fractional Brownian Motion Based on Wavelet[J]. Acta Electronica Sinica, 2003, 31(6): 825-828. DOI：

摘要

分形随机过程广泛地存在于各种自然现象和社会现象中

日益成为信号检测与估计、信号处理及图像处理的研究热点.分形布朗运动是模拟此类信号的很好的数学模型.小波因其所具有的多尺度分析能力成为分析分形信号的有力工具.本文分析了二维分形布朗运动经小波变换后各尺度间小波系数相关结构的特性

提出了一种合成二维分形布朗运动的算法

并展示了其在和谐图案生成上的应用.

Abstract

The 1/

family of fractal processes exists widely in various physical and social phenomena and is increasingly appealing to researcher on signal detection and estimation

signal processing and image processing.Fractional Brownian motion is a convenient model for this kind of process.Wavelet transform is a useful tool to analyze fractal signal by its multi-resolution analysis capability.After analyzing the correlation structure of 2-D fBm signal's wavelet decomposition

this paper proposed a method to synthesize 2-D fBm and showed its application on producing harmonious patterns.

关键词

Keywords

references

Views

879

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Kalman Filtering of Fractal Stochastic Signals Based on Wavelet Transform

Waveform Estimation of Non-Stationary Fractal Stochastic Signals Using Optimum Threshold Technique

Lightweight MR Image Reconstruction Network Based on Wavelet Domain Complex Convolution and Complex Transformer

FD-GAN: Frequency-Decomposed Generative Adversarial Network for Unpaired Underwater Image Enhancement

ECG Motion Artifact Filtering Based on Two-Stage Adaptive Threshold Rules

Related Author

ZHAO Juan

MA Hong

YOU Zhi-sheng

Michio Umeda

ZHANG Ke-shu

ZHANG Xiao-hua

LIAN Qiu-sheng

NIU Yu-zhen

Related Institution

Dept.of Mathematics,Sichuan University

Dept.of Computer Science,Sichuan University

Dept.of Information Engineering,Osaka Electro-Communication University

Dept.of MathematicsSichuan UniversityChengduSichuan 610064China

Dept.of Computer ScienceSichuan UniversityChengduSichuan 610064China

⁰