Title :
Discrete Wavelet Spectrum Analysis for Multifractal Network Traffic
Author :
Wan, Jun ; Dou, Wenhua ; Luo, Jianshu ; Zhang, Heying
Author_Institution :
Math. Dept., NUDT of China, Hunan
Abstract :
The aggregate traffic of rapid Internet traffic have shown to be multifractal because of the self-similarity behavior at all time scales. In this paper, we study the stochastic properties and construction of multifractal products of processes using wavelet analysis. Following the lead of Fourier spectrum analysis, we define a spectrum function, based on the discrete wavelet analysis, to represent statistic properties of multifractal process. Based on large deviation theorem, the existence proof of the spectrum is given as well as its characterization properties and the corresponding conditions. A simple method of spectrum estimating is given at last
Keywords :
Fourier transforms; Internet; discrete wavelet transforms; spectral analysis; stochastic processes; telecommunication traffic; Fourier spectrum analysis; discrete wavelet spectrum analysis; large deviation theorem; multifractal Internet traffic; self-similarity behavior; stochastic property; Computer science; Discrete wavelet transforms; Educational institutions; Fractals; Mathematics; Parameter estimation; Statistical analysis; Telecommunication traffic; Traffic control; Wavelet analysis;
Conference_Titel :
Information, Communications and Signal Processing, 2005 Fifth International Conference on
Conference_Location :
Bangkok
Print_ISBN :
0-7803-9283-3
DOI :
10.1109/ICICS.2005.1689075
