Abstract:In order to increase the phase measurement accuracy of a given fixed amount of samples, this paper proposes a novel bi-directional DFT symmetric compensation measuring phase method. Through implementing forward DFT and backward DFT on the given samples respectively, the accurate phase information can be extracted from the symmetric peak spectral locations of these forward and backward DFT. Based on this, the theoretic closed-form expression of phase estimation variance of this novel estimator, which is verified by simulation. Moreover, the simulation results verify that the desired phase estimation variance is between all-phase FFT (apFFT) and Cramer-Rao Lower Bound (CRLB) of 2 parameters, thus the proposed method has high accuracy and wide application prospects.