Forward and Backward Sub-segmenting Frequency-Phase Joint Estimator base on Frequency Shift Compensation

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (16) : 207-211.

Xiang-Dong Huang Xu-Kang Jin Rui-Peng Bai

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Abstract

Frequency estimation and phase estimation are two basic measurement problems in physics. However, the existing estimators can hardly achieve high-accuracy joint estimation of these two parameters. To acquire the joint estimation, two aspects of improvement have been made on the original forward and backward sub-segmenting frequency estimator. On one hand, averaging the phase spectra of the peak FFT bins of the forward sub-segment and the backward sub-segment yields an estimate of the middle sample’s instantaneous phase; On the other hand, frequency shift and compensation is introduced to concentrate the energy of the peak FFT bins of the aforementioned two sub-segments, which enhances the joint estimator’s resistance to noise and thus improves the accuracy. Both theoretic analysis and numerical simulation confirm that, the performance of the proposed joint estimator is superior to that of the original forward and backward sub-segmenting estimator and all-phase FFT/FFT phase difference estimator. For frequency offset cases, the frequency estimation variance of the proposed joint estimator is only 4/3 times of the Cramer-Rao lower Bound, and its phase estimation variance can reach the Cramer-Rao lower Bound.

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joint estimator / frequency estimate / phase estimate / frequency shift and compensation

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Xiang-Dong Huang Xu-Kang Jin Rui-Peng Bai. Forward and Backward Sub-segmenting Frequency-Phase Joint Estimator base on Frequency Shift Compensation[J]. Journal of Vibration and Shock, 2017, 36(16): 207-211

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