自回归谱分析中Marple算法的阶数的考虑

波谱学杂志 ›› 1989, Vol. 6 ›› Issue (1): 101-106.

自回归谱分析中Marple算法的阶数的考虑

张光昭, 谢泽明, 谢祥昌, 周冠群

中山大学电子系

收稿日期:1987-08-15 修回日期:1987-12-29 出版日期:1989-03-05 发布日期:2018-01-22
基金资助:
国家自然科学基金资助的课题

THE ORDER CONSIDERATION OF MARPLE ALGORITHM FOR AUTOREGRESSIVE SPECTRUM ANALYSIS

Zhang Guangzhao, Xie Zeming, Xie Xiangchang, Zhou Guangqun

Electronics Department, Zhongshan University

Received:1987-08-15 Revised:1987-12-29 Online:1989-03-05 Published:2018-01-22

摘要/Abstract

摘要： 在自回归谱分析中,Marple的LS算法是最有效的方法之一,它减少了谱线频率的偏移,避免了谱线的分裂,而且具有更高的分辨率.但是,判阶问题仍未解决.本文从实验的角度详细讨论了Marple提出的病态条件和两个容限因子,并且研究了在不同的噪声电平下,分辨率和阶数的关系.最后还讨论了出现假峰的问题.

关键词: 自回归谱分析, LS算法, 分辩率

Abstract: Marple algorithm is one of the most effective methods for the autoregressive spectrum analysis It yields AR spectra with no apparent line splitting reduced spectral peak frequency estimation biases and higher resolution But the criterion for AR order determination still has not been resolved.
Two ill-conditions and two tolerance factors proposed by Marple for his new recursive algorithm have been discussed from the view of experimental in this paper. The resolution in AR spectra versus AR order has been studied with various noise levels. The problem of spurious spectral peaks was also discussed.

Key words: Autoregressive spectrum analysis, LS algorithm, Resolution

张光昭, 谢泽明, 谢祥昌, 周冠群. 自回归谱分析中Marple算法的阶数的考虑[J]. 波谱学杂志, 1989, 6(1): 101-106.

Zhang Guangzhao, Xie Zeming, Xie Xiangchang, Zhou Guangqun. THE ORDER CONSIDERATION OF MARPLE ALGORITHM FOR AUTOREGRESSIVE SPECTRUM ANALYSIS[J]. Chinese Journal of Magnetic Resonance, 1989, 6(1): 101-106.