Optics and Precision Engineering, Volume. 17, Issue 7, 1630(2009)
Error analysis on numerical double integration in acceleration measurement with clock jitter
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 1g 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.
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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]. Optics and Precision Engineering, 2009, 17(7): 1630
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Received: Jan. 30, 2009
Accepted: --
Published Online: Oct. 28, 2009
The Author Email: Xiao-yun TAN (xtxj@hit.edu.cn)
CSTR:32186.14.