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    題名: Statistical properties of one-dimensional binary sequences with power-law power spectrum
    作者: Gong, Longyan;Zhou, Zicong;Tong, Peiqing;Zhao, Shengmei
    貢獻者: 淡江大學物理學系
    關鍵詞: Power-law power spectrum;Binary sequences;Time series analysis
    日期: 2011-09
    上傳時間: 2013-02-19 10:10:29 (UTC+8)
    出版者: Amsterdam: Elsevier BV * North-Holland
    摘要: 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.
    關聯: Physica A: Statistical Mechanics and its Applications 390(17), pp.2977–2986
    DOI: 10.1016/j.physa.2011.04.010
    顯示於類別:[物理學系暨研究所] 期刊論文

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