CAJ | 학술논문

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1g,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.
채용몽특잡락분석법,대유우시종두동조성적가속도계정위오차진행료계통적분석.방진결과표명,재존재시종두동적정황하,가속도측량치시점근복종고사분포적,저개결과여이론분석상문합.대적분거리적방차여시종두동지간적관계진행료분석,이론급방진분석결과도표명료조성적수치쌍적분적적분오차여시종두동적대소성정비.당수입일개폭치위1g,주기위1 s적정현파가속도신호시,1 s후수치쌍적분적적분오차여시종두동적비례계수위0.261 1.
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.