基于超宽巷与小波变换的北斗周跳探测与定位方法研究

Based on the wide lane and wavelet transform to detect and locate method research of Compass cycle slips

北斗载波相位观测值中出现周跳,将严重影响导航定位的精准性。为了探测出三频观测数据中的周跳特别是小周跳,本文提出超宽巷及小波变换的方法。首先用超宽巷与二阶历元差分构造出高灵敏度的周跳检验量,然后结合小波变换奇异性探测原理,对构造出的周跳检验量进行小波分解得到小波系数,根据小波系数的模量极大值点探测并定位周跳,而后将探测出的周跳值进行取整修复。经实验验证,该方法可构造出灵敏度较高的周跳检验量,并且能有效探测北斗三频载波相位中1周的小周跳及1周以下的粗差。

That cycle-slips remain undetected in Compass carrier phase observation will degrade the accuracy of the navigation solution. In this paper, an algorithm based on wide lane and wavelet transform is presented to detect the cycle slip in Compass tri-frequency car- rier phase observations, especially small cycle slip. Firstly, using wide lane and second order epoch difference to construct the high sen- sitivity of the cycle slip test quantity. Moreover, associated with the local singularity detection principle, cycle slips can be detected and located precisely through the modulus maxima of the decomposed coefficients achieved by the wavelet transform to the cycle slip test quantity. Then repair the cycle slip by rounding the detected value. Finally, it is proved that this method can be constructed with a higher sensitivity cycle-slip test quantity and can effectively detect small cycle slip with 1 cycle and gross error under 1 cycle in Compass tri-frequency carrier phase observations.