The paper presents method for parametric identification of a fractional order noise. The fractional order colored noise is a generalization of the traditional colored noise (noise with dynamic dependency) in the case when the dynamics of noise is a fractional order dynamics. Proposed identification algorithms are designed for two cases: when order of noise is known and when order of the noise have to be determined. Algorithm for determining the fractional order based on information about noise self correlation. Finally, results of numerical experiments are presented for presenting efficiency of proposed methods.
机构:
School of Mathematics, Liaoning University, Shenyang,110036, China
College of Light Industry, Liaoning University, Shenyang,110036, ChinaSchool of Mathematics, Liaoning University, Shenyang,110036, China
Gao, Zhe
Huang, Xiao-Min
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School of Mathematics, Liaoning University, Shenyang,110036, ChinaSchool of Mathematics, Liaoning University, Shenyang,110036, China
Huang, Xiao-Min
Chen, Xiao-Jiao
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School of Mathematics, Liaoning University, Shenyang,110036, ChinaSchool of Mathematics, Liaoning University, Shenyang,110036, China
机构:
Northeastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao 066004, Peoples R ChinaNortheastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao 066004, Peoples R China
机构:
Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Nankai Univ, LPMC, Tianjin 300071, Peoples R ChinaNankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Jiang, Yiming
Wang, Xingchun
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Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Nankai Univ, LPMC, Tianjin 300071, Peoples R ChinaNankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Wang, Xingchun
Wang, Yongjin
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Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Nankai Univ, LPMC, Tianjin 300071, Peoples R China
Nankai Univ, Sch Business, Tianjin 300071, Peoples R ChinaNankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China