Title :
The ergodicity analysis of two-dimensional discrete wavelet-based fBm fields
Author :
Wu, Bing-Fei ; Su, Yu-Lin
Author_Institution :
Dept. of Control Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan
fDate :
3/1/1998 12:00:00 AM
Abstract :
The article explores the ergodicity property of the two-dimensional (2-D) discrete wavelet transform for a fractional Brownian motion (fBm) field that consists of one approximation image and three detail images. The decorrelation and ergodicity of the three detail images of fBm fields are shown to be achieved
Keywords :
Brownian motion; correlation methods; image processing; motion estimation; stochastic processes; wavelet transforms; approximation image; decorrelation; detail images; ergodicity analysis; fractional Brownian motion; random fields; random process; two-dimensional discrete wavelet-based fBm fields; 1f noise; Brownian motion; Decorrelation; Discrete wavelet transforms; Fractals; H infinity control; Stochastic processes; Two dimensional displays; Wavelet analysis; Wavelet coefficients;
Journal_Title :
Signal Processing, IEEE Transactions on
