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首页> 外文期刊>Aerospace and Electronic Systems, IEEE Transactions on >Iterative Maximum Likelihood Estimators for High-Dynamic GNSS Signal Tracking
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Iterative Maximum Likelihood Estimators for High-Dynamic GNSS Signal Tracking

机译：用于动态GNSS信号跟踪的迭代最大似然估计器

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摘要

This paper presents novel signal-tracking algorithms for global navigation satellite system (GNSS) receivers using a maximum likelihood estimation (MLE) technique to carry out robust signal tracking under severe signal environments, such as high dynamics for maneuvering users. The cost function of the MLE of signal parameters such as code delay, carrier phase, and Doppler frequency is used to derive a discriminator function and thus generate error signals based on incoming and reference signals. Two distinct forms of algorithms are derived by means of mathematical programming using an iterative approach, which is based on the log-likelihood MLE cost function that assumes various signal parameters as unknown constants over an observation interval. First, the Levenberg-Marquardt method is employed using gradient and Hessian matrices. Second, a conventional nonlinear least-square estimation method is applied to determine the MLE cost function, assuming additive white Gaussian noise. An efficient and practical approach to Doppler frequency tracking is also derived based on the assumption of a code-free signal (i.e., a signal from which the code has been wipe off). The use of MLE for carrier tracking makes it possible to generalize the MLE equation for arbitrary codes and modulation schemes. This is ideally suited to various GNSS signals that have the same tracking module structure. Finally, performance of the receivers, in terms of robustness under dynamic stress, computational efficiency, accuracy, computational burden, and response speed, is assessed using analytical and/or numerical techniques.
机译：本文提出了一种新的针对全球导航卫星系统（GNSS）接收机的信号跟踪算法，该算法使用最大似然估计（MLE）技术在恶劣的信号环境（例如机动性高的用户环境）下进行鲁棒的信号跟踪。信号参数（例如码延迟，载波相位和多普勒频率）的MLE的代价函数用于推导鉴别函数，从而根据输入信号和参考信号生成误差信号。通过使用迭代方法的数学编程，可以得出两种不同形式的算法，该算法基于对数似然MLE成本函数，该函数将各种信号参数假定为观察间隔内的未知常数。首先，使用梯度和Hessian矩阵采用Levenberg-Marquardt方法。其次，假设添加的高斯白噪声，将常规的非线性最小二乘估计方法应用于确定MLE成本函数。还基于无代码信号（即，已从中擦除了代码的信号）的假设，得出了一种有效且实用的多普勒频率跟踪方法。通过将MLE用于载波跟踪，可以针对任意代码和调制方案推广MLE方程。这非常适合具有相同跟踪模块结构的各种GNSS信号。最后，使用分析和/或数值技术评估接收器的性能，包括动态应力下的鲁棒性，计算效率，准确性，计算负担和响应速度。

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