標題: On the relationship between the self-similarities of fractal signals and wavelet transforms
作者: Wu, BF
Su, YL
交大名義發表
電控工程研究所
National Chiao Tung University
Institute of Electrical and Control Engineering
公開日期: 1996
摘要: Since many natural phenomena are occasionally defined as stochastic processes and the corresponding fractal characteristics are hidden from their correlation functions or power spectra. the topic would become very interest in signal processing. In this paper, we summarize the fractal dimensions and the relationship of the fractal in probability measure, variance, time series, time-averaging autocorre lation, ensemble-averaging autocorrelation, time-averaging power spectrum, average power spectrum and distribution functions for stationary and nonstationary processes. we also propose that the preservation of the one-dimensional self-similarity of a fractal signal is obtained by using the continuous wavelet transform (CWT) and the discrete wavelet transform (DWT) with the perfect reconstruction - quadrature mirror filter structure. Moreover, we extend the results to the two-dimensional case and point out the relationship of the self-similarities between the CWT and DWT of the fractal signals. A fractional Brownian motion process is provided as an example to show the results of this paper.
URI: http://hdl.handle.net/11536/19899
ISBN: 1-86435-209-4
期刊: ISSPA 96 - FOURTH INTERNATIONAL SYMPOSIUM ON SIGNAL PROCESSING AND ITS APPLICATIONS, PROCEEDINGS, VOLS 1 AND 2
起始頁: 736
結束頁: 739
Appears in Collections:Conferences Paper