Article(id=1322959486389990382, tenantId=1146029695717560320, journalId=1281212831689347082, issueId=1322959347470442879, articleNumber=null, orderNo=null, doi=10.14075/j.jgg.2024.03.086, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=research-article, receivedDate=1709222400000, receivedDateStr=2024-03-01, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1793347720953, onlineDateStr=2026-10-30, pubDate=1739548800000, pubDateStr=2025-02-15, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793347720953, onlineIssueDateStr=2026-10-30, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793347720953, creator=13701087609, updateTime=1793347720953, updator=13701087609, issue=Issue{id=1322959347470442879, tenantId=1146029695717560320, journalId=1281212831689347082, year='2025', volume='45', issue='2', pageStart='111', pageEnd='220', issueExtLink='null', onlineDate='null', pubDate='1739548800000', pubDateStr='2025-02-15', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1793347687833, creator='13701087609', updateTime=1793347687833, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=111, endPage=115, ext={EN=ArticleExt(id=1322959487648281584, articleId=1322959486389990382, tenantId=1146029695717560320, journalId=1281212831689347082, language=EN, title=Research and Evaluation of Correction Methods Based on GNSS-IR Elevation Angle Deviation, columnId=null, journalTitle=Journal of Geodesy and Geodynamics, columnName=null, runingTitle=null, highlight=null, articleAbstract=

Aiming the issue of reduced accuracy in sea surface height inversion using global navigation satellite system interferometric reflectometry (GNSS-IR) due to elevation angle deviation, a correction method for elevation angle deviation based on the ionospheric region is proposed. To verify the reliability of the correction method for elevation angle deviation, a comparison is made between the inversion results before and after applying the correction to the elevation angle deviation. The results indicate that the inversion results, after correction for elevation angle deviation, exhibit higher accuracy. The method for correcting elevation angle deviation can effectively rectify the deviation caused by the ionosphere.

, authors=Huizhong ZHU1, Yuqiang GUI1, Yifan SHEN1, Qiang WANG1, authorsList=Huizhong ZHU, Yuqiang GUI, Yifan SHEN, Qiang WANG, authorCompany=null, correspAuthors=null, authorNote=

ZHU Huizhong, PhD, professor, majors in BDS/GPS high-precision positioning algorithm, data processing, BDS/GPS network RTK algorithm and application, E-mail:

, correspAuthorsNote=null, copyrightStatement=All rights reserved, without authorization, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1322959491905500153, articleId=1322959486389990382, tenantId=1146029695717560320, journalId=1281212831689347082, language=CN, title=基于GNSS-IR高度角偏差修正方法的研究与评估, columnId=1322506169105633839, journalTitle=大地测量与地球动力学, columnName=现代大地测量, runingTitle=null, highlight=null, articleAbstract=

针对高度角偏差使全球导航卫星系统干涉反射测量(GNSS-IR)反演海面高度的精度降低这一问题, 提出一种基于电离层区域的高度角偏差修正方法, 为验证方法的可靠性, 将修正高度角偏差前后的反演结果进行对比。结果表明, 经过高度角偏差修正的反演结果精度更高, 利用高度角偏差修正方法可以较好地修正电离层引起的高度角偏差。

, authors=祝会忠1, 桂宇强1, 沈祎凡1, 王强1, authorsList=祝会忠, 桂宇强, 沈祎凡, 王强, authorCompany=null, correspAuthors=null, authorNote=

祝会忠, 博士, 教授, 主要研究方向为BDS/GPS高精度定位算法与数据处理及BDS/GPS网络RTK算法与应用, E-mail:

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ZHU Huizhong, PhD, professor, majors in BDS/GPS high-precision positioning algorithm, data processing, BDS/GPS network RTK algorithm and application, E-mail:

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祝会忠, 博士, 教授, 主要研究方向为BDS/GPS高精度定位算法与数据处理及BDS/GPS网络RTK算法与应用, E-mail:

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祝会忠, 博士, 教授, 主要研究方向为BDS/GPS高精度定位算法与数据处理及BDS/GPS网络RTK算法与应用, E-mail:

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articleId=1322959486389990382, language=EN, label=Tab. 1, caption=

Overview of experimental data

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测站 数据类型与时段
GNSS系统频率 SNR类型 年份 F10.7年均值 采样率/s
PTLD GPS L1 S1C 2019 70.178 30
TAR0 GPS L1 S1C 2020 73.668 30
GOM1 GPS L1 S1C 2020 73.668 30
HUE1 GPS L1 S1C 2019 70.178 30
), ArticleFig(id=1322959508238118954, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322959486389990382, language=CN, label=表1, caption=

实验数据概况

, figureFileSmall=null, figureFileBig=null, tableContent=
测站 数据类型与时段
GNSS系统频率 SNR类型 年份 F10.7年均值 采样率/s
PTLD GPS L1 S1C 2019 70.178 30
TAR0 GPS L1 S1C 2020 73.668 30
GOM1 GPS L1 S1C 2020 73.668 30
HUE1 GPS L1 S1C 2019 70.178 30
), ArticleFig(id=1322959508607217707, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322959486389990382, language=EN, label=Tab. 2, caption=

Overview of elevation optimization

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测站 类型 diff_max diff_min diff_ave
PTLD 对流层/min 6.15 2.12 3.56
电离层/s 2.54 0.45 1.50
TAR0 对流层/min 24.17 14.07 17.00
电离层/s 11.81 2.70 4.16
GOM1 对流层/min 3.00 1.68 2.25
电离层/s 25.02 2.47 13.35
HUE1 对流层/min 7.63 1.68 3.40
电离层/s 6.04 0.25 1.61
), ArticleFig(id=1322959508674326572, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322959486389990382, language=CN, label=表2, caption=

高度角优化情况

, figureFileSmall=null, figureFileBig=null, tableContent=
测站 类型 diff_max diff_min diff_ave
PTLD 对流层/min 6.15 2.12 3.56
电离层/s 2.54 0.45 1.50
TAR0 对流层/min 24.17 14.07 17.00
电离层/s 11.81 2.70 4.16
GOM1 对流层/min 3.00 1.68 2.25
电离层/s 25.02 2.47 13.35
HUE1 对流层/min 7.63 1.68 3.40
电离层/s 6.04 0.25 1.61
), ArticleFig(id=1322959509018259501, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322959486389990382, language=EN, label=Tab. 3, caption=

Station experimental data parameters

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测站 年积日 高度角/(°) 方位角/(°) RH参考范围/m 信号强度/信噪比比率
PTLD 001-020 5~25 100~280 4~10 5.5/2.7
TAR0 281-300 5~20 0~200, 280~360 4~10 5.5/2.7
GOM1 075-095 5~25 130~360 3~9 5.5/2.7
HUE1 001-020 5~25 200~360 4.5~10 5.5/2.7
), ArticleFig(id=1322959509433495598, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322959486389990382, language=CN, label=表3, caption=

测站实验数据参数

, figureFileSmall=null, figureFileBig=null, tableContent=
测站 年积日 高度角/(°) 方位角/(°) RH参考范围/m 信号强度/信噪比比率
PTLD 001-020 5~25 100~280 4~10 5.5/2.7
TAR0 281-300 5~20 0~200, 280~360 4~10 5.5/2.7
GOM1 075-095 5~25 130~360 3~9 5.5/2.7
HUE1 001-020 5~25 200~360 4.5~10 5.5/2.7
), ArticleFig(id=1322959509504798767, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322959486389990382, language=EN, label=Tab. 4, caption=

Mean values of the difference between all retrieval results and tide level observations

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测站 GNSS-IR 对流层折射修正 本文高度角偏差修正
PTLD 8.827 8.296 7.954
TAR0 8.424 7.595 7.062
GOM1 12.230 9.912 9.698
HUE1 2.025 1.937 1.887
), ArticleFig(id=1322959509857120304, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322959486389990382, language=CN, label=表4, caption=

各反演结果与潮位观测结果之差的均值

, figureFileSmall=null, figureFileBig=null, tableContent=
测站 GNSS-IR 对流层折射修正 本文高度角偏差修正
PTLD 8.827 8.296 7.954
TAR0 8.424 7.595 7.062
GOM1 12.230 9.912 9.698
HUE1 2.025 1.937 1.887
), ArticleFig(id=1322959509920034865, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322959486389990382, language=EN, label=Tab. 5, caption=

Data statistics results before and after application optimization

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测站 RMSE/cm PCC RMSEpro PCCpro
GNSS-IR 对流层折射修正 本文修正方法 GNSS-IR 对流层折射修正 本文修正方法 对流层折射修正 本文修正方法 对流层折射修正 本文修正方法
PTLD 16.09 11.17 10.40 81.16% 89.57% 91.33% 30.58% 6.89% 44.64% 16.87%
TAR0 17.04 11.17 9.90 90.70% 93.83% 94.58% 34.45% 11.37% 33.66% 12.16%
GOM1 22.06 15.05 13.07 88.39% 92.29% 94.60% 31.78% 13.16% 33.59% 29.96%
HUE1 40.50 30.75 28.57 82.73% 89.24% 90.58% 24.07% 7.09% 37.70% 12.45%
), ArticleFig(id=1322959509982949426, tenantId=1146029695717560320, journalId=1281212831689347082, articleId=1322959486389990382, language=CN, label=表5, caption=

应用修正方法前后数据统计结果

, figureFileSmall=null, figureFileBig=null, tableContent=
测站 RMSE/cm PCC RMSEpro PCCpro
GNSS-IR 对流层折射修正 本文修正方法 GNSS-IR 对流层折射修正 本文修正方法 对流层折射修正 本文修正方法 对流层折射修正 本文修正方法
PTLD 16.09 11.17 10.40 81.16% 89.57% 91.33% 30.58% 6.89% 44.64% 16.87%
TAR0 17.04 11.17 9.90 90.70% 93.83% 94.58% 34.45% 11.37% 33.66% 12.16%
GOM1 22.06 15.05 13.07 88.39% 92.29% 94.60% 31.78% 13.16% 33.59% 29.96%
HUE1 40.50 30.75 28.57 82.73% 89.24% 90.58% 24.07% 7.09% 37.70% 12.45%
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基于GNSS-IR高度角偏差修正方法的研究与评估
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祝会忠 1 , 桂宇强 1 , 沈祎凡 1 , 王强 1
大地测量与地球动力学 | 现代大地测量 2025,45(2): 111-115
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大地测量与地球动力学 |现代大地测量 2025 , 45 (2) : 111 -115
基于GNSS-IR高度角偏差修正方法的研究与评估
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祝会忠1 , 桂宇强1, 沈祎凡1, 王强1
作者信息
  • 1 辽宁工程技术大学测绘与地理科学学院, 辽宁省阜新市玉龙路88号, 123000
作者简介:

祝会忠, 博士, 教授, 主要研究方向为BDS/GPS高精度定位算法与数据处理及BDS/GPS网络RTK算法与应用, E-mail:

Research and Evaluation of Correction Methods Based on GNSS-IR Elevation Angle Deviation
Huizhong ZHU1 , Yuqiang GUI1, Yifan SHEN1, Qiang WANG1
Affiliations
  • 1 School of Geomatics, Liaoning Technical University, 88 Yulong Road, Fuxin 123000, China
  • ZHU Huizhong, PhD, professor, majors in BDS/GPS high-precision positioning algorithm, data processing, BDS/GPS network RTK algorithm and application, E-mail:

出版时间: 2025-02-15 doi: 10.14075/j.jgg.2024.03.086
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针对高度角偏差使全球导航卫星系统干涉反射测量(GNSS-IR)反演海面高度的精度降低这一问题, 提出一种基于电离层区域的高度角偏差修正方法, 为验证方法的可靠性, 将修正高度角偏差前后的反演结果进行对比。结果表明, 经过高度角偏差修正的反演结果精度更高, 利用高度角偏差修正方法可以较好地修正电离层引起的高度角偏差。

GNSS-IR  /  海面高度  /  信噪比  /  高度角  /  电离层

Aiming the issue of reduced accuracy in sea surface height inversion using global navigation satellite system interferometric reflectometry (GNSS-IR) due to elevation angle deviation, a correction method for elevation angle deviation based on the ionospheric region is proposed. To verify the reliability of the correction method for elevation angle deviation, a comparison is made between the inversion results before and after applying the correction to the elevation angle deviation. The results indicate that the inversion results, after correction for elevation angle deviation, exhibit higher accuracy. The method for correcting elevation angle deviation can effectively rectify the deviation caused by the ionosphere.

GNSS-IR  /  sea level  /  signal-to-noise ratio  /  elevation angle  /  ionosphere
祝会忠, 桂宇强, 沈祎凡, 王强. 基于GNSS-IR高度角偏差修正方法的研究与评估. 大地测量与地球动力学, 2025 , 45 (2) : 111 -115 . DOI: 10.14075/j.jgg.2024.03.086
Huizhong ZHU, Yuqiang GUI, Yifan SHEN, Qiang WANG. Research and Evaluation of Correction Methods Based on GNSS-IR Elevation Angle Deviation[J]. Journal of Geodesy and Geodynamics, 2025 , 45 (2) : 111 -115 . DOI: 10.14075/j.jgg.2024.03.086
全球导航卫星系统干涉反射测量(GNSS-IR)通过研究直射信号与反射信号对观测值的干涉效应,反演得到地球表面参数[1-2]。大气折射效应引起的高度角偏差是反演过程中必须重视的误差来源。针对大气折射效应在对流层区域引起的高度角偏差,Santamaría-Gómez等[3]提出了一种经验公式,以气压与温度作为输入参数,有效消除了信号弯曲引起的高度角偏差,提高了反演结果的精度。但目前较少有研究涉及大气折射效应在电离层区域造成的高度角偏差,也缺少相应的修正方法。
本文提出一种基于电离层的高度角偏差修正方法,以改正电离层区域引起的高度角偏差,提高海面高度反演精度。同时,以4个测站的原始观测数据和验潮站潮位观测值对本文高度角偏差修正方法进行验证,并对比分析高度角偏差修正前后海面高度反演精度的提升水平。
20世纪以来,对于GNSS信号用于探测、反演物体表面和传播路径物理特征的研究开始兴起。Martin-Neira[4]开创使用GNSS反射信号的理念,具体论述了将直射信号与反射信号结合进行反演测量的原理。对卫星的直射信号与反射信号进行研究可以得到水体高程、土壤湿度、雪深等相关信息[5]。2013年,Larson等[6]在GNSS-R基础上提出利用全球定位系统(GPS)单一接收机的信噪比(SNR)干涉效应反演沿海区域海面高度,可以快速、准确地得到沿海区域水面高度。
GNSS的反射信号相对于直射信号存在一定的相位延迟(φ),直射信号与反射信号干涉后影响SNR序列观测值的趋势。SNR序列的整体趋势主要由直射信号引起,因此常利用低阶多项式拟合去除直射信号引起的趋势,再通过研究SNR残差序列的频率得出海面高度的反演结果。SNR残差序列可表示为[6]:
$\delta \mathrm{SNR}=A \cos \left(\frac{4 \pi h}{\lambda} \sin e+\varphi\right) \alpha(e)$
式中,h为接收天线相位中心到反射面的垂直距离(即有效高度RH)的观测值;e为高度角;λ为信号的波长;A为余弦曲线的振幅;φ为初始相位;α(e)为衰减因子。若将sine看作一个独立变量,$\frac{4 \pi h}{\lambda}$则为角频率,该SNR残差序列的频率f可表示为:
$f=\frac{1}{2 \pi} \frac{\mathrm{~d} \varphi}{\mathrm{~d} x}=\frac{1}{2 \pi} \frac{4 \pi h}{\lambda}=\frac{2 h}{\lambda}$
式(2)表明了SNR残差序列中f与h的关系。SNR序列在去趋势后,利用周期图法(LSP)可以获得SNR残差序列的频率,并进一步得到h。
电离层在GNSS误差分析中常被看作是一个富集所有自由电子的单层薄层,因此在算法中设定电离层折射只发生一次。同时,引入单频信号的相折射率np计算由电子密度分布不同引起的高度角偏差。为获取电离层折射发生的位置,需要借助单层电离层模型计算穿刺点坐标,并以穿刺点的卫星天顶距作为入射角计算折射角(图1)。
图1中,θ1和θ2分别为穿刺点的卫星天顶距与经过电离层一次折射的折射角;(φPP, λPP)与(φ, λ)分别为穿刺点与测站的经纬度;H为折射高度;RE为地球半径(取6 371 km);Z为接收机天顶距。参数之间满足下式[7]:
$\left\{\begin{array}{l}z=\pi / 2-e \\\theta_1=\arcsin \frac{R_{\mathrm{E}} \sin z}{R_{\mathrm{E}}+H} \\\alpha=z-\theta_1 \\\varphi_{P P}=\arcsin (\cos \alpha \sin \varphi+\sin \alpha \cos \varphi \cos \mathrm{Az}) \\\lambda_{P P}=\lambda+\arcsin \frac{\sin \alpha \sin \mathrm{A} z}{\cos \varphi_{PP}}\end{array}\right.$
式中,Az和e分别为卫星相对接收机的方位角和高度角。
本文利用NeQuick-G模型计算得到电子密度,以np联合式(3)中得到的θ1及电子密度,利用下式得出高度角偏差及修正后的高度角:
$\left\{\begin{array}{l}n_P=1-K_1 N_{\mathrm{e}} f^{-2}=1-40.3 N_{\mathrm{e}} f^{-2} \\n_1 \sin \theta_1=n_2 \sin \theta_2 \\\tilde{z}=\alpha+\theta_2 \\\tilde{e}=\pi / 2-z\end{array}\right.$
式中,Ne为电子密度;f为GNSS信号的频率;K1为相折射率的系数(可直接用标准值带入);n1为真空的相折射率;n2为电离层下部的相折射率;$\tilde{z}$为经过高度角偏差修正的接收机天顶距;$\tilde{e}$为经过修正的高度角。电离层的电离区域由电离层中中性气体受太阳辐射产生的大量带电粒子构成,因此对于Ne的计算需要引入F10.7指数。
首先利用由观测文件与广播星历中提取的SNR观测值计算卫星高度角和方位角,并输入SNR文件,同时对验潮站数据进行处理。由于验潮站数据存在时间序列空缺,需要将原始验潮站数据插值加密为采样率为1 min的潮位观测值序列。随后将SNR文件、F10.7数据及测站坐标输入NeQuick-G模型及单层电离层模型,得到电子密度等数据,并将其输入高度角偏差修正公式;对修正后的高度角序列进行LSP谱分析,得到海面高度反演的RH结果并进行质量检验,剔除低质量数据。在进行评估前,需要检查反演结果与潮位观测值序列是否含有异常值,若含异常值则利用3倍中误差法则剔除粗差。由于接收机天线的相位中心到测站当地的高程基准面距离为定值,可看作是真实RH结果加上海面到高程基准面的距离,因此反演得到的RH序列与潮位观测值序列的趋势相反。
为验证本文高度角修正方法的可靠性,选取全球范围内4个测站的数据进行实验:HUE1测站位于37.13°N、6.83°W,实验匹配的验潮站距观测站5 m;TAR0测站位于36.01°N、5.60°W,实验匹配的验潮站距观测站200 m;GOM1测站位于28.09°N、17.11°W,实验匹配的验潮站距观测站2 m;PTLD测站位于38.34°S、141.61°E,实验匹配的验潮站距观测站2 m。各验潮站的采样率均为1 min,但存在一些观测空白。图2展示了各测站的反射区及周边环境概况,菲涅尔反射区可以通过GNSS-IR Web App网站与开源程序进行测站位置的标注及反射区的绘制。图中黄色、蓝色以及红色区域分别表示高度角5°、15°和25°的菲涅尔反射区,在实验中作为确定研究区域的参考之一。
实验数据分为4个测站的GNSS观测文件、GPS星历与临近验潮站的潮汐数据,分别从SONEL、武汉大学IGS数据中心和联合国科教文组织等机构获得,概况如表1所示。
在验证本文修正方法的可靠性前,检验其对高度角的影响。随机选取某天、某PRN号和其UTC时段进行实验,以检验高度角序列在优化前后的变化,结果如图3所示。可以看出,实验时段的高度角差距存在一定的周期性波动,这种波动来源于NeQuick-G模型输出的电子密度,其对反演精度的影响需要进行进一步实验验证。
另外,分别应用对流层及电离层的高度角偏差修正方法对高度角进行优化,具体情况如表2所示。可以看到,电离层对高度角的影响是以s为单位,而对流层对高度角的影响以min为单位,二者差距较大。
在§2.1中,通过实验检验了高度角偏差修正对高度角的影响,本节将对比分析高度角偏差修正方法应用前后对海面高度反演结果的影响。以前文数据集作为实验对象,表3记录了实验时段、测站高度角和方位角范围等参数。
为量化修正效果,以均方根误差(RMSE)与皮尔逊相关系数(PCC)评定反演精度,以其提升指标来评估反演结果的精度提升水平。图4展示了未进行任何高度角修正的GNSS-IR反演结果、应用对流层折射修正方法的反演结果和应用本文高度角偏差修正方法得到的反演结果。
为说明反演结果与潮位观测值之间的差距,将各反演结果与潮位观测值作差得到均值(表4,单位cm),反演结果的精度及精度提升指标如表5所示。
结合图表分析可知,应用本文高度角偏差修正方法后,反演结果的RMSE、PCC较未修正的反演结果有不同程度的提高,其中RMSE最高提升13.16%(GOM1),平均提升9.62%;PCC最高提升29.96%(GOM1),平均提升17.86%。反演结果与潮位观测值之差也较未修正的低,表明应用本文高度角偏差修正方法可以更准确地反演得到海面高度,提升反演精度。对流层折射修正也对高度角进行了改正,经过统计可以看出,经对流层折射修正后对反演结果的影响十分显著,表明对流层对高度角的影响是误差改正中必须考虑的因素。
本文针对当前GNSS-IR中电离层区域造成的高度角偏差研究较少,也缺少相应修正方法的问题,提出一种基于电离层的高度角偏差修正方法,旨在改正电离层区域引起的高度角偏差,以提高海面高度反演精度。以4个测站的原始数据与验潮站的潮位观测值数据验证本文高度角偏差修正方法的可靠性,结论如下:
1) 本文高度角偏差修正方法得到的反演结果RMSE最低为9.90 cm(TAR0),平均达到15.49 cm;反演结果的PCC最高达94.60%(GOM1),平均达到92.77%,表明本文高度角偏差修正方法可以准确反演海面高度。
2) 本文高度角偏差修正方法得到的反演结果较未进行修正得到的反演结果RMSE最高提升13.16%(GOM1),平均提高9.62%;PCC最高提升29.96%(GOM1),平均提高17.86%。
本文在误差修正中分析了对流层折射修正方法对精度提升的贡献,结果表明,对流层折射修正是GNSS-IR误差修正中必须应用的改正策略。GNSS-IR的误差来源较多,应用不同的修正方法,如GNSS多频率和不同系统反演的频间偏差改正[8]、潮位振幅过大引起的反射面高度变化改正[6]、不同高度角质量引起的参数范围误差[9]等,都可有效提高GNSS-IR的反演精度。通过对多影响因素的深度挖掘,可以更好地揭示GNSS-IR的误差特性,提高GNSS-IR的反演精度。
  • 国家自然科学基金(42030109)
  • 国家自然科学基金(42074012)
  • 辽宁省“兴辽英才计划”(XLYC2203162)
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doi: 10.14075/j.jgg.2024.03.086
  • 接收时间:2024-03-01
  • 首发时间:2026-10-30
  • 出版时间:2025-02-15
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  • 收稿日期:2024-03-01
基金
National Natural Science Foundation of China(42030109)
国家自然科学基金(42030109)
National Natural Science Foundation of China(42074012)
国家自然科学基金(42074012)
Liaoning Revitalization Talents Program(XLYC2203162)
辽宁省“兴辽英才计划”(XLYC2203162)
作者信息
    1 辽宁工程技术大学测绘与地理科学学院, 辽宁省阜新市玉龙路88号, 123000
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