A LMS based phase difference adaptive unbiased estimation method and application

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (10) : 55-59.

YANG Hui-yue , TU Ya-qing ,ZHANG Hai-tao, LI Ming

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Abstract

For phase difference estimation of vibration signals, a LMS based adaptive unbiased estimated method is proposed in this paper. In this method, one of the two signals and its orthogonal signal are used to synthesize a new signal which is seen as the estimation of the other signal. Phase difference of the two signals equals to the ratio of two matching coefficients. The coefficients adaptive update to minimize the mean square matching error. Then, we can realize the adaptive estimation of phase difference. Estimation bias resulted from noises is theoretical derived. To improve the precision, the estimated results are compensated according to the estimation bias. Thus unbiased estimation of phase difference is obtained. Compensation formula and process of the proposed method are also given. Experimental results show that the proposed method is able to accurately estimate the phase difference of two signals with same frequency. Precision is significantly improved by bias compensation. The proposed method has a good dynamic measurement characteristic which makes it still available when mutations of the phase difference occur. The application of the proposed method in measuring the dynamic phase differences of Coriolis flow meter signals in the changing flow situation verified its practicability in projects.

Key words

phase difference / adaptive / unbiased estimation / LMS algorithm / Hilbert transform

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YANG Hui-yue,TU Ya-qing,ZHANG Hai-tao, LI Ming. A LMS based phase difference adaptive unbiased estimation method and application[J]. Journal of Vibration and Shock, 2016, 35(10): 55-59

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