减少频谱泄漏的一种新的等角度间隔采样递推算法

A Novel Algorithm for Reducing Spectrum Leakage Based on Equal Angle-Interval Sampling Principle

提出并证明了离散傅里叶变换的基相量循环移位性质。就减少频谱泄漏问题,根据基相量循环移位性质提出了一种新的等角度间隔采样算法,并证明了该算法的递推特性。仿真结果表明该算法不仅减少了频谱泄漏,提高了谐波分析精度,而且由于算法具有递推特性,使计算量很小,从而保证了分析实时性。有较强的应用价值。

The cyclic shift character of base phasor in DFT is proposed and approved first in this paper. In order to solve the problem of reducing spectrum leakage, a new algorithm based on equal angle-interval sampling principle is proposed according to the cyclic shift character of base phasor. Simulation results show the new algorithm not only greatly reduces the spectrum leakage and improves the accuracy of harmonic analysis but also greatly reduces the calculation. So it can ensure the real time analysis. Moreover, the algorithm will have great application potentials.