一种基于LMS的振动信号相位差自适应无偏估计方法及应用

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (10) : 55-59.

论文

杨辉跃；涂亚庆；张海涛；李明

作者信息 +

A LMS based phase difference adaptive unbiased estimation method and application

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

Author information +

文章历史 +

摘要

针对振动信号相位差估计问题，提出了一种基于LMS的自适应无偏估计方法。该方法通过一路信号与其正交的三角运算来配准另一路信号，相位差的正切值等于两个配准系数之比；根据均方误差最小原则对配准系数进行迭代更新，从而实现相位差自适应估计；理论推导出噪声引起的估计偏差，并据此对估计结果进行偏差补偿，实现相位差无偏估计，给出了补偿公式和方法流程。实验结果表明：本文方法能准确估计出两路同频振动信号相位差，经偏差补偿后估计精度显著提高；在相位差发生突变时，能进行快速跟踪测量，具有较好动态测量特性；本文方法在变化流量下科氏流量计振动信号相位差估计中的应用，验证了方法的工程实用性。

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.

导出引用

杨辉跃；涂亚庆；张海涛；李明. 一种基于LMS的振动信号相位差自适应无偏估计方法及应用[J]. 振动与冲击, 2016, 35(10): 55-59

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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