| Summary: | The integrity monitoring algorithm guarantees that the receiver can get the correct positioning and speed, which has very important theoretical significance and practical application value. It is one of the most important development contents of the satellite navigation system. Based on the introduction of the traditional least square residual method, this paper compares the binomial fitting time-assisted receiver autonomous integrity monitoring (RAIM) algorithm and a grey model time-assisted RAIM algorithm and finds that the latter can well solve the clock error accumulation problem in the binomial fitting time-assisted RAIM algorithm. In the faulty satellite detection experiments with the same pseudo-range error, the minimum detectable pseudo-range error of the grey model time-assisted RAIM algorithm is 15 m, while the binomial fitting time-assisted RAIM algorithm is 28 m. Incidentally, the detection probability of a faulty satellite with 20 m pseudo-range error of the binomial fitting time-assisted RAIM algorithm is 10%, whereas the grey model time-assisted RAIM algorithm is 81%.
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