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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/80587

    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:[物理學系暨研究所] 期刊論文

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