最大熵功率谱估计方法是天文研究领域常用的现代频谱分析方法,本文利用反映地球自转速率变化的日长数据序列,采用最大熵法进行频谱分析,分别随机扣除实测序列中总样本数的1/2、1/3和1/4的观测数据,再对扣除的数据点进行样条插值,使之成为新的等间距时间序列,同样采用最大熵法进行频谱分析,探究数据插值对频谱分析结果的影响.结果表明,插值可能会改变频谱分析结果,并导致出现一些虚假周期成分,结果的准确程度和插值点的数量密切相关.
Maximum entropy method(MEM) is a common way of spectrum analysis in astronomy research.ΔLOD,which reflects earth rotation variation,was analyzed with MEM.One half(1/2),1/3 and 1/4 of total sample of observed series were deduced randomly and they were made equally spaced time series by spline interpolation.These series were analyzed again using MEM,the influence of interpolation on spectrum analysis was investigated.Data demonstrated that interpolation may change the outcome of spectrum analysis and generate some false period components.The accuracy of period was related to the amount of interpolation data.