小波变换组合双线性插值法在北斗周跳中的应用

Application of wavelet transform combined bilinear interpolation in Beidou cycle slip

针对北斗卫星导航系统中双差观测序列的周跳问题,提出了一种小波变换组合滑动窗口的双线性插值法。该方法利用小波变换对载波相位双差检测序列进行尺度分解,提取高频系数,得到周跳处高频系数的奇异值,再利用滑动窗口双线性插值法对奇异值进行替换,通过系数重构,能够较好地修复周跳。实验利用该方法同时修复第1、2层高频系数和只修复第1层高频系数进行修复结果对比,结果表明同时修复第1、2层高频系数次数更少,修复效率更高。

In order to solve the cycle slip problem for double difference observation sequence in Beidou satellite navigation system,wavelet transform combineda sliding window linear interpolation method is proposed.Using wavelet transform to scale the carrier phase detection sequence to extract high-frequency coefficients.The singular value of the high frequency coefficient can be obtainedat the cycle slip,then replacing singular values with sliding window bilinear interpolation,and coefficient reconstruction is performed.The cycle slip can be repaired better.The experiment uses this method to simultaneously repair the first and second layers high-frequency coefficients and to repair only the first-layer high-frequency coefficients.The results show that the number of repairs of the first and second layers simultaneously is less and higher repair efficiency.