基于深度学习的卫星导航信号伪距偏差联合估计方法

Joint estimation of pseudorange bias in satellite navigation signals based on deep learning

  • 摘要: 伪距偏差是指卫星导航信号非理想特性导致的不同技术状态接收机产生的伪距测量常数偏差,已成为制约GNSS高精度应用的主要误差源之一. 本文针对北斗卫星导航系统(BeiDou Navigation Satellite System, BDS) B3I频段信号伪距偏差问题进行了研究. 首先介绍了并置接收机双差法基本原理,阐述了伪距偏差的计算方法及规律特性. 针对中长基线场景下无法通过传统方法计算伪距偏差的问题,提出基于卷积神经网络(convolutional neural network, CNN)与长短期记忆网络(long short-term memory, LSTM)融合的CNN-LSTM深度学习误差联合估计方法,对包含伪距偏差在内的伪距双差残差分量进行预测估计. 以12.9 km间隔的WUH2_JFNG中长基线实测数据为样本划分训练集、验证集与测试集,综合比较了该模型和CNN与循环神经网络(recurrent neural network, RNN)融合的CNN-RNN模型的预测性能. 实验结果表明,所提CNN-LSTM模型在预测任务中表现出更高的精度与更好的稳定性,在均方根误差(root mean square error, RMSE)和平均绝对误差(mean absolute error, MAE)指标上相比传统CNN-RNN模型分别降低了10.83%和11.10%,决定系数(R2)提高了0.0159,±0.2 m和±0.5 m区间范围内的预测误差占比分别提升2.77和3.78个百分点. 该模型可为后续伪距偏差联合补偿及定位精度提升提供技术支撑.

     

    Abstract: Pseudorange bias refers to the constant bias in pseudorange measurements produced by receivers of different technical states due to the non-ideal characteristics of satellite navigation signals, and it has become one of the major error sources limiting high-precision applications of GNSS. This study investigates the pseudorange bias of the B3I signal of the BeiDou Navigation Satellite System (BDS). First, the basic principle of the collocated-receiver double-difference method is presented, and the calculation of pseudorange bias is described. To address the difficulty of estimating pseudorange bias in medium-baseline and long-baseline scenarios using conventional methods, a joint error estimation approach based on a hybrid convolutional neural network (CNN) and long short-term memory (LSTM) deep learning model is proposed. This method predicts and estimates the pseudorange double-difference residual components, including pseudorange bias. Real BDS observations from the WUH2_JFNG medium- and long-baseline with an inter-station distance of 12.9 km are used to construct the training, validation, and test datasets. The proposed model is comprehensively compared with a CNN and recurrent neural network (RNN) model in terms of prediction performance. Experimental results demonstrate that the proposed CNN-LSTM model achieves higher accuracy and better stability in the prediction task. Compared with the CNN-RNN model, the root mean square error (RMSE) value and mean absolute error (MAE) value are reduced by 10.83% and 11.10% respectively, while the R2 value is improved by 0.015 9. In addition, the proportions of prediction errors within ±0.2 m and ±0.5 m are increased by 2.77 and 3.78 percentage points respectively. The proposed model provides effective technical support for subsequent joint compensation of pseudorange bias and the improvement of positioning accuracy.

     

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