中文摘要：

加窗插值算法经常用来改善频谱泄漏和栅栏效应的影响,但常规窗函数在使用过程中会出现不满足要求的情况。提出一种自乘法窗函数的构造方法,以Hanning窗函数为例构造出不同阶次乘法窗函数,并验证基于这些乘法窗函数的四谱线插值FFT的谐波高精度分析方法。仿真实验表明：构造出的窗函数相对于常规窗函数插值算法,有更高的准确度。在实际工程中可根据需要选择所构造的窗函数。

英文摘要：

The window and interpolation algorithm has often been used to improve the influence of spectrum leakage and picket fence effect; however, conventional window functions sometimes will not meet the requirements during its application. A construction method of self-multiplication window functions is proposed. Based on Hanning window function, window functions of various orders are given. And the high-precision harmonic analysis method of four-spectrum-line interpolation FFT based on these multiplication window functions is verified. The simulation experiments show that the constructed window function has a higher accuracy comparing to the conventional window function interpolation algorithm. In practical engineering, the constructed window function can be chosen as required.