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.DOI:10.11918/j.issn.0367-6234.2012.07.016 |
| ZHOU Hong-juan,YU Hai-yan,QIAO Xiao-lin.Improved prony algorithm for abstracting schumann resonance parameters[J].Journal of Harbin Institute of Technology,2012,44(7):83.DOI:10.11918/j.issn.0367-6234.2012.07.016 |
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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 |
DOI:10.11918/j.issn.0367-6234.2012.07.016 |
分类号:TN91172 |
基金项目:山东省自然科学基金资助项目(ZR2010DM013) |
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Improved prony algorithm for abstracting schumann resonance parameters |
ZHOU Hong-juan, YU Hai-yan, QIAO Xiao-lin
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Institute of Information Engineering, Harbin Institute of Technology at Weihai, 264209 Weihai Shandong, China
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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. |
Key words: schumann resonance prony algorithm non-linear least-square fit resonance frequency minimization of correlated residuals |