基于时间序列的傅里叶级数计算分析

Analysis and calculation of Fourier series based on time series

本研究以一个扩散方程为目标推求扩散系数,在研究过程中使用频谱分析方法将时序资料由时间域转换至频率域,若此随机变量具有数个正弦波叠加的特性,频率域上则会出显数个明显的尖峰,据此可以分析时序的周期特性。

In this study, take a diffusion equation as the goal for diffusion coefficient, in the research process, using the spectrum analysis method the time series data from time domain to frequency domain characteristics of conversion, if the random variable has a plurality of sine wave superposition, the frequency domain will be a significant number of distinct peak, the analysis cycle characteristic sequence.