一种基于Hamming自乘法窗函数和四插值的谐波分析方法

A Harmonic Analysis Method Based on Hamming Self-Multiplication Window Functions and Four-Spectrum-Line-Interpolation

针对谐波分析过程中常规窗函数存在精度不足的问题,提出了一种自乘法窗函数的构造方法,并以Hamming窗函数为例构造出1-9阶乘法窗函数,将这些窗函数应用于四谱线插值谐波分析方法中,仿真实验表明:构造出的自乘法窗函数相对于常规窗函数,在进行插值谐波分析中具有更高的准确度.工程实践中可根据精度需要选择所构造的窗函数阶次.

In view of precision insufficient of the conventional window functions used in harmonic analysis, this paper introduced a construction method of self-multiplication window functions, and gave self-multiplication window functions of 1-9 orders based on Hamming window, and meanwhile verified a harmonic analysis method of four-spectrum-line-interpolation based on these multiplication window functions. The simulation experiments show that the constructed window function has a higher accuracy comparing to the conventional window function interpolation algorithm. In practical engineering, we can choose the constructed window function orders according to the needs of precision.