| 刘 春,刘 滔,李维华,卫吉祥,汪志宁.Lagrange 插值定理辅助小波变换法在周跳探测中的应用[J].电子测量与仪器学报,2020,34(8):195-202 |
| Lagrange 插值定理辅助小波变换法在周跳探测中的应用 |
| Application of Lagrange interpolation theorem-assisted wavelet transform method in cycle slip detection |
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| DOI： |
| 中文关键词: 北斗导航定位 载波相位 周跳 小波变换 Lagrange 线性插值 |
| 英文关键词:Beidou navigation positioning carrier phase cycle slip wavelet transform Lagrange linear interpolation |
| 基金项目:合肥市北斗卫星导航重大应用示范资助项目 |
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| 中文摘要: |
| 在北斗导航定位领域,为获得准确的载波相位观测数据,必须对载波相位观测中出现的周跳现象进行有效探测和修复。
首先构造了单差、双差检测量,利用小波变换对单差、双差检测序列进行三尺度分解,同时提取高频系数和低频系数,从高频系
数奇异值可以观察出明显的周跳,然后通过 Lagrange 线性插值法对高频系数奇异值进行替换,将替换后的高频系数和低频系数
进行重构。 最后将重构信号与原始信号相减,可以获得周跳差值,利用该值对周跳进行一层一层的修复。 实验选择了 200 个无
周跳历元,在 100 历元处加入不同周跳,仿真结果发现该方法可以对 0. 5 周以上的周跳进行有效地探测和修复。 |
| 英文摘要: |
| In the field of Beidou navigation and positioning, in order to obtain accurate carrier phase observation data, the cycle slip
phenomenon in carrier phase observation must be effectively detected and repaired. This paper first constructs single-difference and
double-difference detection quantities, then using wavelet transform to three-scale decomposition of single-difference and doubledifference detection sequences,and extracting high-frequency coefficients and low-frequency coefficients at the same time. Obvious cycle
slips can be observed from singular values of high-frequency coefficients. Then, the singular values of high frequency coefficients are
replaced by Lagrange linear interpolation, and the high frequency coefficients and the low frequency coefficients are reconstructed.
Finally, the reconstructed signal is subtracted from the original signal to obtain the cycle slip difference value, which is used to repair the
cycle slip layer by layer. In the experiment, 200 cycle-free epochs were selected, and different cycle slips were added at 100 epochs.
Simulation results show that the method can effectively detect and repair cycle slips of more than 0. 5 weeks. |
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