Error analysis on numerical double integration in acceleration measurement with clock jitter

TAN Xiao-yun; ZHOU Xian-zhong; XU Na; CHEN Wei-ping; LIU Xiao-wei

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Error analysis on numerical double integration in acceleration measurement with clock jitter

Article | 更新时间：2020-08-12

- Error analysis on numerical double integration in acceleration measurement with clock jitter
- Optics and Precision Engineering Vol. 17, Issue 7, Pages: 1630-1634(2009)
- 作者机构：
  
  哈尔滨工业大学 MEMS中心,黑龙江哈尔滨,150001
- 作者简介：
- 基金信息：
- DOI：
  CLC： TH824.4
- Received：30 January 2009，
  
  Revised：30 April 2009，
  
  Published Online：25 July 2009，
  
  Published：25 July 2009
- 稿件说明：
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谭晓昀, 周贤中, 许娜, 陈伟平, 刘晓为. 时钟抖动下加速度测量值的数值双积分误差[J]. 光学精密工程, 2009,17(7): 1630-1634

TAN Xiao-yun, ZHOU Xian-zhong, XU Na, CHEN Wei-ping, LIU Xiao-wei. Error analysis on numerical double integration in acceleration measurement with clock jitter[J]. Editorial Office of Optics and Precision Engineering, 2009,17(7): 1630-1634
谭晓昀, 周贤中, 许娜, 陈伟平, 刘晓为. 时钟抖动下加速度测量值的数值双积分误差[J]. 光学精密工程, 2009,17(7): 1630-1634 DOI：

TAN Xiao-yun, ZHOU Xian-zhong, XU Na, CHEN Wei-ping, LIU Xiao-wei. Error analysis on numerical double integration in acceleration measurement with clock jitter[J]. Editorial Office of Optics and Precision Engineering, 2009,17(7): 1630-1634 DOI：

摘要

采用蒙特卡洛分析法

对由于时钟抖动造成的加速度计定位误差进行了系统的分析。仿真结果表明

在存在时钟抖动的情况下

加速度测量值是渐近服从高斯分布的

这个结果与理论分析相吻合。对积分距离的方差与时钟抖动之间的关系进行了分析

理论及仿真分析结果都表明了噪声的数值双积分的积分误差与时钟抖动的大小成正比。当输入一个幅值为1

周期为1 s的正弦波加速度信号时

1 s后数值双积分的积分误差与时钟抖动的比例系数为0.261 1。

Abstract

The positioning error of accelerometers due to a clock jitter is analyzed by Monte Carlo analysis method. The simulation results reveal that the distribution of acceleration measurements with the clock jitter is approximately Gaussian distribution

which is well coincident with the theoretical analysis. Moreover

the relation between the variance of integration distance and the clock jitter is analyzed. Both the theoretical and simulation results indicate that the error of numerical double integration due to the clock jitter increases proportional to the clock jitter. When the input acceleration signal is a sine wave with a amplitude of 1

and a period of 1 s

the ratio between the integration error of numerical double integration and the clock jitter is 0.261 1 after 1 s.

关键词

Keywords

references

BOGUE R. MEMS sensors: past, present and future [J]. Sensor Review, 2007,27:7-13.[2] ZHAO J,JIA J Y,WANG H X,et al.. A novel threshold accelerometer with postbuckling structures for airbag restraint systems [J]. IEEE Sensors Journal,2007(7):1102-1109.[3] LOTTERS J C,BOMER J G,VERLOOP A J. Design, fabrication and characterization of a highly symmetrical capacitive triaxial accelerometer [J]. Sensors & Actuators A,1998,66:205-212.[4] OUTEN C V C,KOEKKOEK K T M. A triaxial accelerometer and portable data processing unit for the assessment of daily physical acitivity [J]. IEEE Transactions on Biomedical Engneering,1997,44:136-147.[5] LYOONS G M, CULHANE K M. A description of an accelerometer-based mobility monitoring technique [J]. Medical Engineering & Physics,2005,27:497-504.[6] RODJEGARD H,JOHANSSON C. A monolithic three-axis SOI-accelerometer with uniform sensitivity [J]. Sensors & Actuators A,2005,123:50-53.[7] DEMIR A. Computing timing jitter from phase noise spectra for oscillators and phase-locked loops with white and 1/f noise [J]. IEEE Transcations on Circuits and Systems-I: Regular Papers, 2006,53:1869-1884.[8] ABIDI A A. Phase noise and jitter in CMOS ring oscillators [J]. IEEE Journal of Solid-State Circuits, 2006,41:1803-1816.[9] THONG Y K, WOOLFSON M S. Numerical double integration of acceleration measurements in noise [J]. Measurement,2004,36:73-92.

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