功率谱分析方法在周期分析中的应用

Periodicity analysis based on power spectrum estimation

以谱估计理论为基础,对周期图谱分析方法和最大熵谱分析方法进行了简要阐述。通过模拟信号验证了它们分析周期的可行性,并把这两种方法应用到提取太阳黑子数1750年至2008年的平滑月均值的周期分析中,获得被分析资料中隐含的平均周期分别是10.1年、11.1年、11.9年、105.3年,这个结论和实际观测非常一致。并对这两种周期分析方法进行了比较。

The periodogram spectral analysis method and maximum entropy spectral analysis method are introduced briefly based on theory of spectrum estimation. The effectiveness of the two methods are confirmed by applications in modeling signals. The two methods are then used to analyze the monthly mean of sunspot from 1750 to 2008. The periods are 10.1 years,ll. 1 years,ll. 9 years and 105.3 years, which are consistent with the actual observed values. Also ,the characteristics derived from the two methods are compared.