title: Ð¡Ð¾Ð²ÐµÑÑÐµÐ½ÑÑÐ²Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð½Ð°Ð²Ð¸Ð³Ð°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¾Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¼Ð°ÑÐ¸Ð½Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Improving navigation positioning algorithms using machine learning methods
Creators: name: Ð¡ÐºÐ»ÑÑÐ¾Ð²Ð°, ÐÐ°ÑÐ¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2021
Subjects: Ð¡Ð¿ÑÑÐ½Ð¸ÐºÐ¾Ð²Ð°Ñ Ð½Ð°Ð²Ð¸Ð³Ð°ÑÐ¸Ñ
ÐÐµÐ¹ÑÐ¾Ð½Ð½ÑÐµ ÑÐµÑÐ¸
ÐÑÐºÑÑÑÑÐ²ÐµÐ½Ð½ÑÐ¹ Ð¸Ð½ÑÐµÐ»Ð»ÐµÐºÑ
ÑÐ°Ð·Ð° Ð½ÐµÑÑÑÐµÐ¹
carrier phase

description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¸Ð·Ð»Ð¾Ð¶ÐµÐ½Ð¾ Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¾ ÑÐ¿Ð¾ÑÐ¾Ð±Ð¾Ð² Ð´Ð»Ñ ÑÑÐ¾Ð²ÐµÑÑÐµÐ½ÑÑÐ²Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¸ ÑÐ¿ÑÑÐ½Ð¸ÐºÐ¾Ð²ÑÑ Ð´Ð°Ð½Ð½ÑÑ. ÐÐ°Ð½Ñ Ð¾Ð±ÑÐ¸Ðµ Ð¿Ð¾Ð½ÑÑÐ¸Ñ ÑÐ¿ÑÑÐ½Ð¸ÐºÐ¾Ð²Ð¾Ð¹ Ð½Ð°Ð²Ð¸Ð³Ð°ÑÐ¸Ð¸, Ð¾Ð¿Ð¸ÑÐ°Ð½ ÑÐ¸Ð³Ð½Ð°Ð» GPS Ð¸ Ð¿ÑÐ¸Ð½ÑÐ¸Ð¿ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð½ÐµÐ¹ÑÐ¾Ð½Ð½ÑÑ ÑÐµÑÐµÐ¹. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ Ð´Ð²Ð° Ð¸ÑÐ¿ÑÑÐ°Ð½Ð¸Ñ: ÑÑÐ°ÑÐ¸ÑÐµÑÐºÐ¸Ð¹ Ð¸ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ð¹, Ñ ÑÐµÐ»ÑÑ Ð²ÑÑÐ²Ð»ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾Ð±Ð»ÐµÐ¼Ñ Ð½Ð°Ð²Ð¸Ð³Ð°ÑÐ¸Ð¸ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ GNSS Ð¿ÑÐ¸ÐµÐ¼Ð½Ð¸ÐºÐ¾Ð² Ð² ÑÐµÐ¶Ð¸Ð¼Ðµ RTK. ÐÐ¿ÐµÑÐ²ÑÐµ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐµÐºÑÑÑÐµÐ½ÑÐ½ÑÑ Ð½ÐµÐ¹ÑÐ¾Ð½Ð½ÑÑ ÑÐµÑÐµÐ¹ Ð² ÐºÐ°ÑÐµÑÑÐ²Ðµ Ð¾Ð´Ð½Ð¾Ð³Ð¾ Ð¸Ð· ÑÐ¿Ð¾ÑÐ¾Ð±Ð¾Ð² ÑÑÐ¾Ð²ÐµÑÑÐµÐ½ÑÑÐ²Ð¾Ð²Ð°Ð½Ð¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð¿ÑÐ¾Ð³Ð½Ð¾Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸ ÑÐ°Ð±Ð¾ÑÑ Ð½Ð°Ð²Ð¸Ð³Ð°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Ð´Ð»Ñ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ Ð¾Ð±ÑÐµÐºÑÐ¾Ð² Ð² ÑÐµÐ¶Ð¸Ð¼Ðµ RTK. ÐÐ½ÐµÐ´ÑÐµÐ½Ñ Ð¸ Ð¾Ð¿ÑÐ¾Ð±Ð¾Ð²Ð°Ð½Ñ, ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½ÑÐµ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð ÐÐ, ÑÑÐ¾Ð²ÐµÑÑÐµÐ½ÑÑÐ²Ð¾Ð²Ð°Ð½Ð¸Ñ Ð² ÑÑÐ°Ð½Ð´Ð°ÑÑÐ½ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð°Ñ Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¾Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð² RTK Ð½Ð° Ð´ÐµÐ¹ÑÑÐ²ÑÑÑÐ¸Ñ ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð°Ñ ÑÐ¾ Ð²ÑÑÑÐ¾ÐµÐ½Ð½ÑÐ¼Ð¸ Ð´Ð°ÑÑÐ¸ÐºÐ°Ð¼Ð¸ GPS/GNSS. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð½ÑÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ¾Ð² Ð¼Ð¾Ð¶Ð½Ð¾ ÑÐ´ÐµÐ»Ð°ÑÑ Ð²ÑÐ²Ð¾Ð´: Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ Ð² Ð½Ð°ÑÑÐ¾ÑÑÐµÐ¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¾ÐºÐ°Ð·Ð°Ð»Ð¸ÑÑ ÑÐ¿Ð¾ÑÐ¾Ð±Ð½ÑÐ¼Ð¸ Ð¿ÑÐ¾Ð³Ð½Ð¾Ð·Ð¸ÑÐ¾Ð²Ð°ÑÑ Ð´Ð°Ð½Ð½ÑÐµ ÑÐ°Ð·Ñ Ð½ÐµÑÑÑÐµÐ¹ Ñ Ð¾ÑÐµÐ½Ñ Ð¼Ð°Ð»ÑÐ¼Ð¸ Ð¿ÑÐ¾ÑÐµÐ½ÑÐ¾Ð¼ Ð¾ÑÐ¸Ð±Ð¾Ðº. ÐÐ´Ð½Ð°ÐºÐ¾ ÑÑÐ¸ Ð¾ÑÐµÐ½Ñ Ð¼Ð°Ð»ÐµÐ½ÑÐºÐ¸Ðµ Ð¿ÑÐ¾ÑÐµÐ½ÑÐ¸Ð»ÑÐ½ÑÐµ Ð¾ÑÐ¸Ð±ÐºÐ¸ Ð¿Ð¾-Ð¿ÑÐµÐ¶Ð½ÐµÐ¼Ñ Ð¿ÑÐ¸Ð²Ð¾Ð´ÑÑ Ðº Ð±Ð¾Ð»ÑÑÐ¸Ð¼ Ð¾ÑÐ¸Ð±ÐºÐ°Ð¼ Ð² Ð¿ÑÐ¾Ð³Ð½Ð¾Ð·Ð°Ñ ÑÐ¸ÐºÐ»Ð° Ð½ÐµÑÑÑÐµÐ¹.
description: This paper describes several ways to improve existing algorithms for processing satellite data. There are given the general concepts of satellite navigation, a GPS signal and the principle of building neural networks. Two tests were carried out: static and dynamic, in order to identify navigation problems using GNSS receivers in RTK mode. For the first time, a model of recurrent neural networks has been developed as one of the ways to improve algorithms for predicting the accuracy of the navigation system for dynamic objects in RTK mode. Improvements in standard RTK positioning algorithms developed with RNN have been implemented and tested on existing devices with integrated GPS/GNSS sensors. As a result of the experiments, we can conclude that the methods presented in this paper were able to predict the carrier phase data with a very small percentage of errors. However, these very small percentile errors still lead to large errors in the carrier cycle predictions.