时间差载波阶段观测模型中第一定位的不确定性量化
Hakim Cherfi1, Julien Lesouple1, Joan Solà2
1Fédération ENAC ISAE-SUPAERO ONERA, Université de Toulouse, 7, Avenue Edouard Belin, 31400 Toulouse, France.
Sensors (Basel, Switzerland)
|September 19, 2025
概括
全球导航卫星系统 (GNSS) 测距中的初始位置错误显著影响移位估计. 本研究量化了时差载波相 (TDCP) 模型中的这些错误,显示了初始位置错误和位移错误之间的线性关系.
科学领域:
- 地理学工程 工程地质学
- 卫星导航系统 卫星导航系统
- 信号处理 信号处理
背景情况:
- 时差载波阶段 (TDCP) 对于精确的全球导航卫星系统 (GNSS) 测距至关重要.
- 准确的初始位置是TDCP建模中的一个关键假设,在现实世界的场景中往往无法满足.
研究的目的:
- 在TDCP观测模型中对第一个固定进行不确定性量化.
- 评估初始位置错误对基于GNSS的位移估计的影响.
主要方法:
- 制定正确和错误的TDCP模型来分析初始位置错误效应.
- 根据错误指定的模型进行估计的理论框架,包括平均平方误差 (MSE) 和错误指定的克拉默-拉奥边界 (MCRB).
- 使用现实的GNSS几何学进行了广泛的模拟,以评估在不同条件下的性能.
主要成果:
- 位移估计错误与初始位置错误和观测之间的时间间隔有线关系.
- 证明,在1秒的TDCP中,一个10米的初始第一修复错误可以引入高达1.3mm的位移错误.
- 量化了GNSS解决方案中参数不确定性引入的错误的大小顺序.
结论:
- 准确的首次固定估计对于可靠的基于TDCP的计程仪至关重要.
- 该研究提供了关于初始位置不确定性如何通过TDCP模型传播的定量理解.
- 这些发现对于提高GNSS移位估计技术的稳定性和准确性至关重要.
更多相关视频
相关概念视频
Propagation of Uncertainty from Systematic Error
1.4K
The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
1.4K
Propagation of Uncertainty from Random Error
1.8K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
1.8K
Estimation of the Physical Quantities
7.2K
On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
7.2K
Uncertainty: Overview
1.6K
In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
1.6K
Uncertainty: Confidence Intervals
10.2K
The confidence interval is the range of values around the mean that contains the true mean. It is expressed as a probability percentage. The interpretation of a 95% confidence interval, for instance, is that the statistician is 95% confident that the true mean falls within the interval. The upper and lower limits of this range are known as confidence limits. The confidence limits for the true mean are estimated from the sample's mean, the standard deviation, and the statistical factor...
10.2K
Uncertainty in Measurement: Accuracy and Precision
99.9K
Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value.
99.9K


