正弦信号的直接FFT参数估计与相位差分法对比研究

The Contrastive Study between Direct FFT and Phase Difference in Parameter Estimation of Sinusoidal Signal

该文研究了基于FFT的正弦信号参数估计问题,揭示了频率与初相估计间的相互联系,并对相位差分法的估值误差公式进行了推导和仿真验证。两种算法的对比说明相位差分法运算量小,可以在不高的信噪比下获得彼此独立的高精度参数估值,因此更加有利于工程的实现。

This paper firstly studies parameter estimation issue directly based on FFT.Thereby,the relationship between the frequency and phase estimation is exposed.Subsequently,the estimation error formula of phase difference arithmetic are deduced and validated by computer simulation.The compare of two methods shows that phase difference arithmetic possesses lesser calculation quantity.Simultaneously,it can gain highly accurate,mutually independent parameter estimation under low SNR.So phase difference arithmetic is easy to realize in engineering field much more.