Дисертації з теми "Ionosphere Estimation"
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Mao, Xiaolei. "GPS CARRIER SIGNAL PARAMETERS ESTIMATION UNDER IONOSPHERE SCINTILLATION." Miami University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=miami1314295002.
Повний текст джерелаMiladinovich, Daniel Sveta. "Data Assimilation for Ionosphere-Thermosphere Storm-Time State Estimation." Thesis, Illinois Institute of Technology, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10843813.
Повний текст джерелаThis dissertation presents a data assimilation method for estimating the physical drivers of the Earth's ionosphere layer through the combination of Global Navigation Satellite System based (GNSS) ionospheric density measurements, Fabry-Perot interferometer (FPI) neutral wind measurements and several empirical models. The main contributions include: 1) Kalman filtering for multi-observation ingestion and multi-state estimation, 2) ingestion of FPI neutral wind measurements, 3) spherical harmonic basis functions for global electric potential estimation and 4) a study of storm-time ion drifts using globally ingested data.
The thermosphere is a region of Earth's atmosphere (80-1000 km) that contains a balance of particle density and solar ionizing radiation such that an ionosphere can form. During geomagnetic storm events, the ionosphere can be disturbed causing abrupt redistribution of the ionospheric plasma. These disruptions can cause blackouts for radio wave-based communications and navigation systems. Understanding what causes the ionosphere to change is therefore necessary as society becomes more dependent on navigation and communication technologies.
The first step in understanding the ionosphere is to quantify its physical drivers. Measurements of the ionosphere are limited both spatially and temporally because the region is so vast. Models, on the other hand, provide our best understanding and capability to simulate the ionosphere and its drivers but often fall short in capturing certain phenomena during severe geomagnetic storms. In this work, a data assimilation algorithm called Estimating Model Parameters from Ionospheric Reverse Engineering (EMPIRE) is further developed to combine both measurements and simulation data sets for estimating ionospheric drivers globally. EMPIRE ingests ionosphere plasma density rate measurements and subtracts model simulation results to produce an observation of the difference between measurements and simulation. EMPIRE then fits basis functions which represent physical drivers to the measurement-simulation discrepancy. The mapping from observation to physical driver happens using the ion continuity governing equation as a model.
The EMPIRE algorithm was originally developed in 2009 to perform regional data assimilation and used only plasma density measurements. In this work, EMPIRE is modified to use a Kalman filter so measurements and models can be ingested in an efficient and systematic manner. Direct physical driver measurements are provided by FPI neutral wind measurements using the newly developed Kalman filter. This thesis demonstrates the first ever use of FPIs and plasma density measurements in a data assimilative environment. Next, EMPIRE is modified to estimate coefficients to spherical harmonic basis functions rather than power series basis functions. Spherical harmonic functions allow EMPIRE to provide global estimates because they are continuous and orthogonal on a spherical domain (such as Earth). A study is then conducted to ingest global plasma density rate measurements and neutral winds to estimate ion drifts across the globe.
Sauerwein, Kevin Lee. "Nonlinear State Estimation of the Ionosphere as Perturbed by the 2017 Great American Eclipse." Thesis, Virginia Tech, 2019. http://hdl.handle.net/10919/87581.
Повний текст джерелаMS
The 2017 Great American Eclipse garnered much attention in the media and scientific community. Solar eclipses provide unique opportunities to observe the ionosphere’s behavior as a result of irregular solar radiation patterns. Many devices are used to measure this behavior, including GPS receivers. Typically, GPS receivers are used to navigate by extracting and combining carrier phase and pseudorange data from signals of at least four GPS satellites. When the position of a GPS receiver is well-known, information about the portion of the ionosphere that the signal traveled through can be estimated from the GPS signals. This estimation procedure has been done with ground-based and orbiting GPS receivers. However, fusing the two data sources has never been done and will be a primary focus of this study. After demonstrating the performance of the estimation algorithm, it is used to estimate the state of the ionosphere as it was perturbed by the 2017 Great American Eclipse.
Brown, Neil E. "Sequential phased estimation of ionospheric path delays for improved ambiguity resolution over long GPS baselines /." Connect to thesis, 2006. http://eprints.unimelb.edu.au/archive/00003170.
Повний текст джерелаFoster, Matthew. "Reconstruction and motion estimation of sparsely sampled ionospheric data." Thesis, University of Bath, 2009. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.503658.
Повний текст джерелаROCHA, Gilmara Dannielle de Carvalho. "Avaliação e mitigação dos efeitos ionosféricos no posicionamento por ponto preciso GNSS no Brasil." Universidade Federal de Pernambuco, 2015. https://repositorio.ufpe.br/handle/123456789/16056.
Повний текст джерелаMade available in DSpace on 2016-03-17T18:13:34Z (GMT). No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) GILMARA DANNIELLE DE CARVALHO ROCHA_ DISSERTAÇÃO 2015.pdf: 3108174 bytes, checksum: c5307dded72886ffaf2f476a6333026d (MD5) Previous issue date: 2015-03-06
CNPq
Umas das maiores fontes causadoras de erro no posicionamento GNSS é a ionosfera, sendo que o efeito provocado por esta camada da atmosfera é um dos mais impactantes no processo de estimativa das coordenadas, principalmente para dados coletados com receptores de simples frequência. A modelagem matemática da refração ionosférica é complexa devido às variações diárias, sazonais, de curto e longo período, além de outros fenômenos que ocorrem na atmosfera, tal como a cintilação ionosférica. Em se tratando de posicionamento absoluto com receptores de simples frequência, seja Posicionamento por Ponto Simples (PP) ou Posicionamento por Ponto Preciso (PPP), estratégia adequada de correção dos efeitos ionosféricos devem ser adotadas. A correção da ionosfera para dados de simples frequência pode ser realizada a partir de modelo matemático, tal como o de Klobuchar, Mapas Globais ou Regionais da Ionosfera ou a partir da estimativa residual da ionosfera. Quando se tem disponível dados de duas frequências é possível utilizar a combinação ion-free, a qual permite eliminar os efeitos de primeira ordem da ionosfera. Contudo esta combinação faz com que as ambiguidades percam suas características de números inteiros, bem como realça outros níveis de ruído tal como o multicaminho. Uma possibilidade para atenuar os efeitos da ionosfera é a aplicação da estimativa dos efeitos residuais junto com as coordenadas incógnitas da estação e outros parâmetros. Neste caso, os efeitos da ionosfera podem ser tratados como um processo estocástico no Filtro de Kalman e se pode aplicar tal estratégia para dados de simples ou dupla frequência. Essa estratégia pode facilitar a solução das ambiguidades como inteiras e consequentemente permite a obtenção de resultados mais acurados no posicionamento geodésico. Dentro deste contexto, esta dissertação de mestrado apresenta a avaliação da acurácia do posicionamento absoluto GPS com aplicação de diferentes estratégias de correção da ionosfera. Foram realizados processamentos no modo PPP com dados GPS coletados em estações da RBMC em períodos de alta e baixa atividade solar para os anos de 2010 a 2013, onde se aplicou a correção da ionosfera advinda do modelo de Klobuchar, dos mapas globais (GIM – Global Ionospheric Map) e regionais (LPIM – La Plata Ionospheric Model), além da estimativa residual da ionosfera. As coordenadas estimadas foram comparadas com aquelas advindas da solução semanal SIRGAS-CON, a qual é dada atualmente em ITRF2008 e o Erro Médio Quadrático (EMQ), seja diário ou anual foi utilizado como medidor de acurácia. Ao aplicar as correções da ionosfera advinda dos mapas globais e regionais na estimativa de coordenadas no PPP utilizando somente medidas de código, observou-se melhoria de até 80% em relação ao PPP sem correção da ionosfera. O PPP com correção ionosférica advinda dos mapas regionais produziu melhorias diárias da ordem de 10% em relação ao uso dos mapas globais. Com base nas melhorias produzidas com a utilização do modelo ionosférico regional, foi proposta a modificação do modelo estocástico do ajustamento tendo em vista que somente o modelo funcional é afetado pelas correções ionosféricas advindas dos mapas. Com relação à estimativa residual da ionosfera foram realizados experimentos envolvendo medidas de código e fase na frequência L1 com geração de séries temporais anuais de coordenadas para diversas estações da RBMC, cuja acurácia alcançada foi da ordem de 10 cm no PPP com solução diária.
One of the largest sources of errors in the GNSS positioning is the ionosphere considering that the effect caused by that atmosphere layer is one of the most impacting in the coordinate estimation process, especially for data collected with single frequency receivers. Mathematical modeling of ionospheric refraction is complex due to daily variation in as well as, seasonal short and long period and also other phenomena occurring in the atmosphere such as ionospheric scintillation. Concerning the absolute positioning with single frequency receivers, whether Single Point Positioning (PP) or by Precise Point Positioning (PPP), appropriate strategy to correct the ionospheric effects should be adopted. The ionosphere correction for single frequency data can be performed from mathematical model, such as Klobuchar, Global or Regional Ionosphere maps or from residual ionosphere estimating. When one has available data from two frequencies it is possible to apply the ionosphere free combination which allows eliminating the first order ionosphere effects. However, this combination makes ambiguities lose its integer characteristics as well as amplify other noise levels as for instance multipath. One possibility to mitigate the ionosphere effects is the application of the ionosphere residual estimation along with coordinates station and other parameters. In this case, the ionosphere effects can be treated as a stochastic process in the Kalman filter where it is possible to apply that strategy for single or dual frequency data. This strategy can facilitate the integer ambiguities resolutions and consequently allows obtaining more accurate results in geodetic positioning. Inside this context, this master thesis presents the accuracy evaluation of the GPS absolute positioning by applying different strategies for ionosphere corrections. Processing was performed in PPP mode with GPS data collected in brazilizan RBMC stations in periods of high and low solar activities for the years 2010-2013, where it was applied ionosphere correction from Klobuchar model, global (GIM - Global Ionospheric Map) and regional (LPIM - La Plata Ionospheric Model) maps and the residual ionosphere estimation. The estimated coordinates were compared with those coming from SIRGAS-CON in a weekly solution which is currently given in ITRF2008 and Root Mean Square (RMS), either daily or annually, was used as accuracy measuring. When applying ionosphere corrections from global and regional maps in the PPP coordinates estimation using only code measurements, it was observed improvements of up to 80% comparing with PPP without ionosphere correction. The PPP with ionospheric correction coming from regional maps produced daily improvements of around 10% in relation to applying global maps. Based on improvements reached with corrections from regional ionospheric model, it was proposed the modification of the stochastic model for adjustment considering that only the functional model is affected by the ionospheric corrections coming from maps. Regarding the residual ionosphere estimation experiments were performed involving code and phase measurements in the L1 frequency with generation of coordinates annual time series considering the chosen RBMC stations whose accuracy achieve approximately 10 cm in PPP with daily solution.
Johnson, Andrea Marie S. M. Massachusetts Institute of Technology. "Optimal estimation of ionosphere-induced group delays of global positioning satellite signals during launch, orbit and re-entry." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/62968.
Повний текст джерелаCataloged from PDF version of thesis.
Includes bibliographical references (p. 237-238).
There are many sources of range error in a Global Positioning Satellite (GPS) signal that has traveled to a receiver near the earth's surface. Among these is the ionospheric group delay. In the past, a single-state, dual-frequency filter has been used to estimate the ionospheric delay for authorized users. Although sufficient for terrestrial receivers for which the ionospheric delay changes very slowly, such a filter is inadequate for space-based missions in which a receiver passes rapidly through the ionosphere. Various Kalman filters are examined and simulation results presented. The most robust Kalman filter considered was a seven-state filter. This filter utilizes four measurements: dual-frequency pseudo-range differencing, dual-frequency delta-range differencing, and single-frequency rate measurements for both frequencies (LI and L2). Two states are necessary for the model dynamics plus five constant states necessary for processing rate measurements. The process model selected for the seven-state filter was the integral of a first-order Markov process. The filter was used to estimate both the ionospheric group delay and the deviation of the delay from a given reference model. When used to estimate the deviation of the delay from a reference model, the group delay transitioned from "estimated" to "modeled" smoothly in the absence of measurements. In the absence of measurements, the estimated group delay tends to a bias from the reference model provided.
by Andrea Marie Johnson.
S.M.
Debchoudhury, Shantanab. "Parameter Estimation from Retarding Potential Analyzers in the Presence of Realistic Noise." Diss., Virginia Tech, 2019. http://hdl.handle.net/10919/88466.
Повний текст джерелаDoctor of Philosophy
The plasma environment in Earth’s upper atmosphere is dynamic and diverse. Of particular interest is the ionosphere - a region of dense ionized gases that directly affects the variability in weather in space and the communication of radio wave signals across Earth. Retarding potential analyzers (RPA) are instruments that can directly measure the characteristics of this environment in flight. With the growing popularity of small satellites, these probes need to be studied in greater detail to exploit their ability to understand how ions - the positively charged particles- behave in this region. In this dissertation, we aim to understand how the RPA measurements, obtained as current-voltage relationships, are affected by electronic noise. We propose a methodology to understand the associated uncertainties in the estimated parameters through a simulation study. The results show that a statistics based algorithm can help to interpret RPA data in the presence of noise, and can make autonomous, robust and more accurate measurements compared to a traditional non-linear curve-fitting routine. The dissertation presents the challenges in analyzing RPA data that is affected by noise and proposes a new method to better interpret measurements in the ionosphere that can enable further scientific progress in the space physics community.
Alshammari, Roghailanm. "Ionospheric estimation using tomography and GPS Ll and L2 phase observables." Thesis, University of Newcastle Upon Tyne, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.489294.
Повний текст джерелаKim, Y. S., and R. Eng. "Estimation of Tec and Range of EMP Source Using an Improved Ionospheric Correction Model." International Foundation for Telemetering, 1992. http://hdl.handle.net/10150/611957.
Повний текст джерелаAn improved ionospheric delay correction model for a transionospheric electromagnetic pulse (EMP) is used for estimating the total-electron-content (TEC) profile of the path and accurate ranging of the EMP source. For a known pair of time of arrival (TOA) measurements at two frequency channels, the ionospheric TEC information is estimated using a simple numerical technique. This TEC information is then used for computing ionospheric group delay and pulse broadening effect correction to determine the free space range. The model prediction is compared with the experimental test results. The study results show that the model predictions are in good agreement with the test results.
Roma, Dollase David. "Global ionospheric maps : estimation and assessment in post-processing and real-time." Doctoral thesis, Universitat Politècnica de Catalunya, 2019. http://hdl.handle.net/10803/666713.
Повний текст джерелаLa recerca realitzada en aquesta tesis en format compendi d’articles esta enfocada en la generació i validació de mapes ionosfèrics globals (GIM, del angles Global Ionospheric Maps). En resum, la novetat i unitat temàtica d’aquesta tesis esta basada en quatre temes diferents però complementaris: • Definició d’un procediment sistemàtic per validar i quantificar la qualitat dels GIMs basada en fonts de dades o tècniques independents. • Aplicar aquesta metodologia no nomes als GIMs generats a UPC, sinó també a la resta de GIMs d’accés obert actualment existent dintre la comunitat científica internacional. • Incloure en el processat per generar els GIMs de UPC dades de les noves constel·lacions GNSS (del angles Global Navigation Satellite Systems) disponibles. • Validació i distribució també dels GIMs en temps real. Com a conseqüència, també s’ha aconseguit generar un primer GIM combinat en temps real. Mes en detall, la meva primera contribució va ser definir un procediment complet de validació de GIM. Aquest procediment esta basat en dos mètodes: obtenció directa del contingut vertical total d’electrons (VTEC, del angles, Vertical Total Electron Content) a partir de dades d’altimetria i per diferencies del contingut total d’electrons (TEC, del angles Total Electron Content) inclinat de dades GNSS. Els dos donen informació complementaria de la qualitat dels GIM. L’avantatge principal d’utilitzar dades de satèl·lits altimètrics es que es una font de dades completament diferent de les que s’utilitzen per la generació dels GIMs. Aquest fet ens permet verificar el TEC des d’una perspectiva diferent, plenament independent de qualsevol font d’error que pugui afectar al propi sistema GNSS o el seu processat. El segon mètode, es basa en la mateix tipus de dades que s’utilitzen pel càlcul dels GIM però en aquest cas amb dades d’estacions permanent GNSS no involucrades en la generació dels GIMs a avaluar. L’avantatge principal d’aquest segon mètodes es doble: primer, permet avaluar el GIM sobre els continents; i segon, permet fer la anàlisis directa de baixa latència del GIM, a mes a mes donant informació directa sobre el processat i la interpolació aplicada sobre les dades GNSS. Seguidament, la meva segona contribució va ser utilitzar la metodologia prèviament definida per validar tots els GIM generats per part dels centres d’anàlisis associats al Servei Internacional de GNSS (IGS, del angles International GNSS Service) i altres centres candidats a unir-se a IGS, per mes d’un cicle solar (des de finals del 2001 fins al inici del 2017). Com a resultat secundari, també va permetre demostrar que per una banda l’interval temporal dels GIM te poca influencia sobre la seva qualitat global, però per altra banda la tècnica d’interpolació emprada per part dels centres te un impacte molt important. Finalment, aquest article va portar a l’admissió d’aquests candidats prèviament mencionats a centres d’anàlisis associats a IGS donat que es va demostrar la bona qualitat dels seus GIMs. Una altra contribució important va ser, com a part del projecte europeu GRC, millorar el software TOMION (TOMographic IONospheric) de UPC, actualment en producció generant el GIM UQRG (GIM ràpid de UPC). Aquest software nomes permetia utilitzar dades de GPS L1 i L2. Les millores realitzades durant aquesta tesis permeten processar totes les freqüències actualment existent de GPS, Galileo i Beidou. El software ha estat internament validat per certs dies específics amb el mètode explicat prèviament d’altimetria millorant els resultats en comparació a la versió anterior per certes combinacions de constel·lacions GNSS i freqüències. Utilitzant aquesta nova metodologia de processat aplicada a una sola freqüència, un últim article va ser publicat analitzant l’empremta ionosfèrica de l’eclipsi solar sobre Amèrica del nord durant el 2017. Finalment, una altre contribució va ser millorar el mètode d’adquisició i distribució del sistema de processat del GIM en temps real. Es mes, com a part de la contribució de la UPC, es va realitzar una validació dels GIMs generats pels participants del grup de treball de monitorització en temps real de la ionosfera (RTIM-WG, del angles Real Time Ionospheric Monitoring Working Group) de l’Associació Internacional de Geodèsia (IAG, del angles International Association of Geodesy) seguint la metodologia anteriorment citada. Com a resultat d’aquestes tasques la UPC ha liderat i mplementat un nou mapa combinat en temps real, en el marc de IGS.
Benito, Llauradó Eulàlia. "Exploitation de la mesure de l’angle d’élévation à l’aide d’un radar HF 2D à ondes de ciel pour l’inversion de l’ionogramme de rétrodiffusion." Rennes 1, 2010. http://www.theses.fr/2010REN1S090.
Повний текст джерелаAccuracy in target location by over-the-horizon radar (OTHR) can be improved when the propagation channel, the ionosphere, is known. Two inversion methods able to provide an electron density profile of the ionosphere from backscatter ionograms are presented in this document. These methods use the measurements realized by the radar during elevation scans. One difficulty when using measured data is the presence of outliers and, moreover, the lack of data for low elevation and for high elevation angle. The methods presented here tries to overcome these difficulties. At the end, the inversion provides parameters of an equivalent ionosphere that can be used to characterize the propagation and to convert group path into ground range
Bourne, Harrison W. "An algorithm for accurate ionospheric total electron content and receiver bias estimation using GPS measurements." Thesis, Colorado State University, 2016. http://pqdtopen.proquest.com/#viewpdf?dispub=10138910.
Повний текст джерелаThe ionospheric total electron content (TEC) is the integrated electron density across a unit area. TEC is an important property of the ionosphere. Accurate estimation of TEC and TEC spatial distributions are needed for many space-based applications such as precise positioning, navigation, and timing. The Global Positioning System (GPS) provides one of the most versatile methods for measuring the ionosphere TEC, as it has global coverage, high temporal resolution, and relatively high spatial resolution. The objective of this thesis is to develop an algorithm for accurate estimation of the TEC using dual-frequency GPS receiver measurements and simultaneously estimate the receiver hardware bias in order to mitigate its effect on the TEC. This method assumes the TEC in the portion of sky visible to the receiver can be represented as a two dimensional sheet with an absolute value and spacial gradients with respect to latitude and longitude. A code-phase multipath noise estimation algorithm is integrated with the TEC estimation process to mitigate environmental multipath contamination of the measurements. The integrated algorithm produces an approximate map of local TEC using a single dual-frequency receiver while minimizing both multipath induced errors and the receiver hardware bias. The goal of this method is to provide an accurate map of the ionosphere TEC, in the region local to the receiver, without the need for a network of receivers and in the absence of knowledge of the receiver hardware induced bias. This thesis describes the algorithm, its implementation, and attempts to validate the method through comparison with incoherent scatter radar (ISR) data from low, mid, and high latitude locations.
Gurel, Ilker. "Channel Estimation For Ofdm Systems." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12606940/index.pdf.
Повний текст джерелаEscrig, Benoît. "Estimation des paramètres d'un modèle de canal ionosphérique." Toulouse, INPT, 1997. http://www.theses.fr/1997INPT112H.
Повний текст джерела"Ionospheric Channel Modeling and Estimation." Master's thesis, 2017. http://hdl.handle.net/2286/R.I.46347.
Повний текст джерелаDissertation/Thesis
Masters Thesis Electrical Engineering 2017
Anand, Raj R. "Kalman Filter Estimation Of Ionospheric TEC And Differential Instrumental Biases Over Low Latitude Using Dual Frequency GPS Observations." Thesis, 2006. http://hdl.handle.net/2005/426.
Повний текст джерела"Local Ensemble Transform Kalman Filter for Earth-System Models: An application to Extreme Events." Doctoral diss., 2018. http://hdl.handle.net/2286/R.I.50478.
Повний текст джерелаDissertation/Thesis
Doctoral Dissertation Applied Mathematics 2018
Hsu, Chien-ya, and 徐千雅. "The ionospheric high-frequency radio echo intensity estimation." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/37396767422994855923.
Повний текст джерела國立中央大學
太空科學研究所
99
High-frequency (HF) radio propagation through the ionosphere offers long-distance communication. Theoretically, radio intensity is decreased with increasing path and is affected also in different media. Therefore, it is important to estimate wave-propagation loss for HF communication. We have applied wave intensity equation which combines basic free-space path loss, equipment gain and the ionosphere loss quoted from IONCAP model. Then we compared the estimations with the measurements from the ChungLi dynasonde. From the comparisons, the results show that the estimations are less than the measurements in daytime but larger after 15:30 local time. Meanwhile, the results show a propagation loss around 90 to 120 dB in vertical sounding above ChungLi. Considering local background noises and distinguishing threshold from system, the ChungLi dynasonde system has to provide more than 50 dBW efficient radio power that radio waves can be successfully measured.
Yang, Shan-Yuan, and 楊善元. "Analysis and Estimation of Ionospheric Delay Model in Taiwan." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/46430433333138205390.
Повний текст джерела國立臺灣海洋大學
通訊與導航工程系
96
The purpose of this thesis is to derive, by using the concept of wide area differential GPS(WADGPS),an ionospheric delay model that is well suitable for using in Taiwan`s Flight information region(FIR). We computed Ionospheric Grid Point (IGP) vertical delay by using inverse distance weighted algorithm, and construct three dimension ionosphere grid model of Taiwan. The partitioned interval of the ionospheric grid point is considered for two cases: the first one is 5 degree, the second one is 2.5 degree. In both cases, the results are further used to perform a stand-alone GPS positioning, and then use the result of the positioning to analyze the most suitable size of the grid point for using in Taiwan area.
Peng, De-Si, and 彭德熙. "Estimation of Taiwan Regional Ionospheric Model:Application to Single Frequency Precise Point Positioning." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/62336830569256930453.
Повний текст джерела國立成功大學
測量及空間資訊學系碩博士班
96
Global Positioning System (GPS) has been known as a high-precision positioning technology. Traditionally, dual frequency equipments provide more accurate positioning; however, they are more expensive than single frequency equipments. Therefore, we hope that positioning accuracy derived from single frequency observations could be the same as dual frequency observations by improving ionospheric correction. The ionospheric delay is currently the primary error of GPS single frequency positioning. Although the Global Ionospheric Model provided by IGS is available for correcting the ionospheric delay, its resolution is too coarse to present the iononspheric activation in Taiwan area. This study focus on the estimation of a Taiwan ionospheric model in terms of spherical harmonic coefficients using the GPS geometry-free observations derived from 2006 e-GPS data provided by National Land Surveying and Mapping Center. A comparison of total electron content difference between the IGS model and the Taiwan local ionospheric model at a specific location (longitude: 120E, Latitude: 22.5N) shows the RMS is 3~8 TECU and the maximum RMS happens at 12:00~18:00 while the ionosphere is extremely active. Different ionospheric models used for single frequency Precise Point Positioning were tested at different time intervals. Positioning accuracy is improved by 50% using the IGS model compared with no ionospheric model involved. Using the Taiwan ionospheric model can improve the positioning accuracy by 80~90% compared with using the IGS model, and the improvement is significant at 12:00~18:00 time interval. Additionally, if a whole day GPS data are adopted in the test, positioning error is at meter level by applying the IGS model, while positioning error can reach 5 cm in horizontal and 15 cm in vertical after the Taiwan ionospheric model is corrected. In conclusion, the Taiwan ionospheric model used for single frequency Precise Point Positioning has centimeter-level horizontal positioning error and decimeter-level vertical positioning error, which is better than using the IGS model.