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

摘要

The 1/f family of fractal processes exist widely in various physical and social phenomena and are increasingly appealing 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.