Statistical properties of one-dimensional binary sequences with power-law power spectrum

機構典藏 > College of Sciences > Graduate Institute & Department of Physics > Journal Article > Item 987654321/80587

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Title:	Statistical properties of one-dimensional binary sequences with power-law power spectrum
Authors:	Gong, Longyan;Zhou, Zicong;Tong, Peiqing;Zhao, Shengmei
Contributors:	淡江大學物理學系
Keywords:	Power-law power spectrum;Binary sequences;Time series analysis
Date:	2011-09
Issue Date:	2013-02-19 10:10:29 (UTC+8)
Publisher:	Amsterdam: Elsevier BV * North-Holland
Abstract:	By the Fourier filtering method, we generate one-dimensional binary sequences from coarse-grained continuous sequences with preset exponents α0. Using the spectrum analysis, we find that the corresponding binary sequences have pure 1/fα power spectrum and spectrum exponents α∈[0.0,2.0], where f is the frequency. We evaluate numerically the relation between α and α0. Using the autocorrelation function analysis, the detrended fluctuation analysis, the duration time analysis and the entropy analysis, we investigate extensively the statistical properties of such binary sequences. We find that the statistical properties are basically different for α<1 and α>1, and binary sequences become more and more ordered as α increases.
Relation:	Physica A: Statistical Mechanics and its Applications 390(17), pp.2977–2986
DOI:	10.1016/j.physa.2011.04.010
Appears in Collections:	[Graduate Institute & Department of Physics] Journal Article

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