Title :
Representation of 1/f signal via multiwavelet bases
Author :
Xiaohong Yan ; Liu, Guizhong ; Liu, Feng
Author_Institution :
Sch. of Electron. & Inf. Eng., Xi´´an Jiaotong Univ., China
Abstract :
The representation of 1/f signal via multiwavelet transformation has been explored in this paper. It is shown that 1/f signal (not near-1/f signal) can be represented by multiwavelet synthetic formula and also the property of a statistically self-similar signal can be characterized by the matrix of correlation functions of multiwavelet coefficients in multiwavelet domain. The representation of 1/f signal with wavelet bases is only the special case of this paper.
Keywords :
matrix algebra; signal representation; wavelet transforms; 1/f signal representation; correlation function matrix; multiwavelet coefficients; multiwavelet domain; multiwavelet synthetic formula; multiwavelet transformation; self-similar signal; Filters; Random processes;
Conference_Titel :
Neural Networks and Signal Processing, 2003. Proceedings of the 2003 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
0-7803-7702-8
DOI :
10.1109/ICNNSP.2003.1279369
