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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1s的正弦波加速度信号时,1s后数值双积分的积分误差与时钟抖动的比例系数为0.2611。
Monte Carlo method is used to analyze the position error of accelerometer caused by clock jitter. The simulation results show that in the presence of clock jitter, the acceleration measurements are asymptotically subjective to the Gaussian distribution, which is in good agreement with the theoretical analysis. The relationship between the variance of integral distance and clock jitter is analyzed. The theoretical and simulation results show that the integral error of numerical double integral of noise is proportional to the size of clock jitter. When a sine wave acceleration signal with a amplitude of 1g and a period of 1s is input, the integral coefficient of the double integral after 1 second is proportional to the clock jitter by a factor of 0.2611.