A new approach of GPS integrity based on SINS is studied by means of the Chebyshevs law of great numbers. The magnitude of pseudoranges can be estimated and that which satellite is in trouble can be determined by using only a Kalman filter. A example is given in the case of step-type pseudorange error. The simulation result proves that the new approach is very practical and efficient and the computation load is lower.%以车比雪夫大数定律为基础,研究基于捷联惯导系统(SINS)的全球卫星定位系统(GPS)完善性监测方法.采用一个卡尔曼滤波器滤波,对卫星伪距故障幅值进行估计并判断哪颗卫星出现故障.最后给出了卫星出现阶跃故障的仿真实例.仿真结果表明,该方法能够及时准确地检测出GPS信号故障,计算量较低,适合于工程上应用.
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