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改进的Prony算法提取舒曼谐振参数
引用本文:周洪娟,于海雁,乔晓林.改进的Prony算法提取舒曼谐振参数[J].哈尔滨工业大学学报,2012,44(7):83-86,91.
作者姓名:周洪娟  于海雁  乔晓林
作者单位:哈尔滨工业大学(威海) 信息工程研究所, 264209 山东 威海;哈尔滨工业大学(威海) 信息工程研究所, 264209 山东 威海;哈尔滨工业大学(威海) 信息工程研究所, 264209 山东 威海
基金项目:山东省自然科学基金资助项目(ZR2010DM013)
摘    要:为在更短的时间内提取舒曼谐振参数,引入对时域采样数据进行直接处理的Prony算法.针对该算法受噪声影响大的缺点,对算法的核心过程——超定方程的求解方法进行了改进,采用Martin等人提出的最小残数法,并与频域处理结果进行对比分析,验证该算法的有效性.

关 键 词:舒曼谐振  Prony算法  非线性最小平方拟合  谐振频率  最小残数法

Improved prony algorithm for abstracting schumann resonance parameters
ZHOU Hong-juan,YU Hai-yan and QIAO Xiao-lin.Improved prony algorithm for abstracting schumann resonance parameters[J].Journal of Harbin Institute of Technology,2012,44(7):83-86,91.
Authors:ZHOU Hong-juan  YU Hai-yan and QIAO Xiao-lin
Affiliation:Institute of Information Engineering, Harbin Institute of Technology at Weihai, 264209 Weihai Shandong, China;Institute of Information Engineering, Harbin Institute of Technology at Weihai, 264209 Weihai Shandong, China;Institute of Information Engineering, Harbin Institute of Technology at Weihai, 264209 Weihai Shandong, China
Abstract:In order to abstract Schumann Resonance parameters in shorter time, Prony algorithm is adopted and analyzed here to process the sampling data directly without FFT. Due to the fact that the algorithm is noise-sensitive, the minimization of correlated residuals proposed by Martin is adopted for solving the overdetermined equations and verified with simulated signals. It is proved to be feasible for SR signal processing after compared with the results from frequency domain.
Keywords:schumann resonance  prony algorithm  non-linear least-square fit  resonance frequency  minimization of correlated residuals
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