In order to enhance the accuracy of the classical all-phase FFT/FFT phase-difference frequency estimator, two improvement measures are proposed: no-windowed mode and frequency-shift & compensation. By means of spectral analysis trials and theoretical analysis, it is proved that the no-windowed mode outperforms the windowing mode in highlighting the peak spectral bins of apFFT and FFT, thereby enhancing the estimator’s robustness to noise contamination. By means of frequency-shift & compensation, the no-windowed apFFT and FFT can always work in the state of small frequency deviation, which helps to extract accurate information of phase difference. Simulation results show that, for the proposed estimator, its frequency estimate variance approximates the Cramer-Rao lower bound. Moreover, compared to the Tsui interpolation-based estimator, it also exhibits higher performance of anti-interference in low SNR circumstances, which presents the vast potential for future development.
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