Recognition of colored noise in pseudo-phase space by using BDS statistics

Authors

DOI:

https://doi.org/10.3103/S0735272709120061

Abstract

Algorithm for calculating BDS statistics based on determination of correlation integral is presented. The algorithm is based on statistical significance of correlation dimensionality of a process, represented in pseudo-phase space of the given dimensionality. For the first time a numerical method for classification of random processes by their “color” with using statistical properties of BDS statistics is suggested.

References

О. I. Sheluhin, А. М. Tenyakshiyev, and А. V. Osin, Fractal Processes in Telecommunications (Radiotekhnika, Moscow, 2003) [in Russian].

V. А. Tuzov and V. I. Sivov, Interference Immunity of Radio Systems with Complicated Signals (Radio i Svyaz’, Moscow, 1985) [in Russian].

E. Peters, Fractal Market Analysis: Applying Chaos Theory to Investment and Economics (Wiley, New York, 1994; Internet-trading, Moscow, 2004).

L. Kanzler, Very Fast and Correctly Sized Estimation of the BDS Statistic (Christ Church and Department of Economics University of Oxford, 1999).

J. Feder, Fractals (Plenum Press, New York, 1988; Mir, Moscow, 1991).

М. Shreder, Fractals, Chaos, Power Laws. Miniatures from Infinite Paradise (NRC “Regular and chaotic dynamics, ” Izhevsk, 2001) [in Russian].

http://en.wikipedia.org/wiki/Colors_of_noise.

Published

2009-12-06

Issue

Section

Research Articles