This study presents the implementation of Middle East Technical University Neural Network (METU-NN) models for the ionospheric forecasting together with worldwide usage capability of the Internet. Furthermore, an attempt is made to include expert information in the Neural Network (NN) model in the form of neurofuzzy network (NFN). Middle East Technical University Neurofuzzy Network (METU-NFN) modeling approach is developed which is the first attempt of using a neurofuzzy model in the ionospheric forecasting studies. The Web based applications developed in this study have the ability to be customized such that other NN and NFN models including METU-NFN can also be adapted. The NFN models developed in this study are compared with the previously developed and matured METU-NN models. At this very early stage of employing neurofuzzy models in this field, ambitious objectives are not aimed. Applicability of the neurofuzzy systems on the ionospheric forecasting studies is only demonstrated. Training and operating METU-NN and METU-NFN models under equal conditions and with the same data sets, the cross correlation of obtained and measured values are 0.9870 and 0.9086 and the root mean square error (RMSE) values of 1.7425 TECU and 4.7987 TECU are found by operating METU-NN and METU-NFN models respectively. The results obtained by METU-NFN model is close to those found by METU-NN model. These results are reasonable enough to encourage further studies on neurofuzzy models to benefit from expert information. Availability of these models which already attracted intense international attention will greatly help the related scientific circles to use the models. The models can be architecturally constructed, trained and operated on-line. To the best of our knowledge this is the first application that gives the ability of on-line model usage with these features. Applicability of NFN models to the ionospheric forecasting is demonstrated. Having ample flexibility the constructed model enables further developments and improvements. Other neurofuzzy systems in the literature might also lead to better achievements.

In this thesis, various pilot symbol aided channel estimation and tracking methods are investigated and their performances are compared for an OFDM system with packet based communication on HF channel. For the HF channel, Watterson HF channel model is used. The compared methods are least squares (LS) channel estimation, linear minimum mean square error (LMMSE) channel estimation, least mean squares (LMS) channel tracking, recursive least squares (RLS) channel tracking, constant position model based Kalman filter channel tracking, and constant velocity model based Kalman filter channel tracking. For LMS and RLS methods some adaptive approaches are also investigated.

In ground based high frequency (HF) radio pumping experiments, absorption of ordinary (O) mode pump waves energises the ionospheric plasma, producing optical emissions and other effects. Pump-induced or natural kilometre-scale field-aligned density depletions are believed to play a role in self-focussing phenomena such as the magnetic zenith (MZ) effect, i.e., the increased plasma response observed in the direction of Earth's magnetic field. Using ray tracing, we study the propagation of ordinary (O) mode HF radio waves in an ionosphere modified by density depletions, with special attention to transmission through the radio window (RW), where O mode waves convert into the extraordinary (X, or Z) mode. The depletions are shown to shift the position of the RW, or to introduce RWs at new locations. In a simplified model neglecting absorption, we estimate the wave electric field strength perpendicular to the magnetic field at altitudes normally inaccessible. This field could excite upper hybrid waves on small scale density perturbations. We also show how transmission and focussing combine to give stronger fields in some directions, notably at angles close to the MZ, with possible implications for the MZ effect. In a separate study, we consider electromagnetic (e-m) beams with helical wavefronts (i.e., twisted beams), which are associated with orbital angular momentum (OAM). By applying geometrical optics to each plane wave component of a twisted nonparaxial e-m Bessel beam, we calculate analytically the shift of the beam's centre of gravity during propagation perpendicularly and obliquely to a weak refractive index gradient in an isotropic medium. In addition to the so-called Hall shifts expected from paraxial theory, the nonparaxial treatment reveals new shifts in both the transverse and lateral directions. In some situations, the new shifts should be significant also for nearly paraxial beams.

Le radar haute fréquence (HF : 3 MHz à 30 MHz) à mode hybride est une solution prometteuse pour assurer la surveillance permanente, jusqu'à 2000 km, de zones maritimes et terrestres. Ce mode est une combinaison des modes de fonctionnement des radars à onde de ciel et à ondes de surface. Lorsque l'intégration du signal est effectuée sur une cible lente, les instabilités ionosphériques affectent les images Doppler-distance. Pour rendre compte de ce phénomène en simulation, un module logiciel basé sur des modèles probabilistes du fouillis ionosphérique a été développé dans le but de simuler le comportement spatial et temporel de l'ionosphère dans le traitement radar. La version finale de ce module est basée sur le profil de densité électronique de Booker, aléatoirement modifié en espace à partir de la fonction de densité spectrale de puissance de Shkarofsky. L'aspect temporel a été aussi pris en compte dans le traitement radar en appliquant aux chemins de phase aléatoires ainsi générés un filtrage passe-bas en prenant en considération les variations du TEC (Contenu Électronique Total). La sensibilité des étalements en décalage Doppler et en distance aux paramètres de la densité spectrale de puissance et à la valeur de la fréquence de coupure du filtre passe-bas, a également été étudiée. Enfin, les images synthétisées ont été comparées aux images réelles obtenues à partir d'un radar HF situé dans le Sud de la France. / High-frequency (HF: 3 MHz to 30 MHz) hybrid mode radar is a promising solution for continuous monitoring of sea and land areas up to 2000 km. This mode is a combination of the modes of operation of the sky wave and surface wave radars. When signal processing is performed on a slow target, the ionospheric irregularities degrade the Doppler-distance images. To take this phenomenon into account in simulation, a software module based on probabilistic models of the ionospheric clutter has been developed with the aim of simulating the spatial and temporal behavior of the ionosphere in radar processing.The final version of this module is based on Booker's electron density profile, randomly modified in space from the Shkarofsky power spectral density function. The temporal aspect has also been taken into account in the radar processing by applying to the random phase paths thus generated a low-pass filtering taking into consideration the TEC (Total Electron Content) variation. The sensitivity of the Doppler shift and distance spreading to the parameters of the power spectral density and the cut-off frequency of the low-pass filter has also been studied. Finally, the synthesized images have been compared with the actual images obtained from an HF radar located in the South of France.

Made available in DSpace on 2016-03-15T19:35:50Z (GMT). No. of bitstreams: 1 EDITH LILIANA MACOTELA.pdf: 4190613 bytes, checksum: 95f5d6f4988fd94b74e81390b34799d8 (MD5) Previous issue date: 2015-03-09 / Conselho Nacional de Desenvolvimento Científico e Tecnológico / The Earth-Low ionosphere system behaves as a waveguide for the propagation of radio waves of very low frequency (VLF). If in this system the electrical conductivity of its boundaries is perturbed, the propagation of the VLF waves will also be perturbed. There is a diversity of transient physical phenomena that are able to alter significantly the electrical conductivity of the lower ionosphere. The disturbance in this region is able to produce phase and amplitude variations with respect to a quiescent level of these waves. The aim of the present work is to study the response of the lower ionosphere to phenomena originated in the Earth, our solar system or even much farther away. For this purpose, VLF data obtained by SAVNET (South American VLF Network) during the solar cycle 24 was used. It was found that the correction by both the length of the path illuminated by the flare and the reference height coefficient allows normalizing the effect of ionospheric disturbances observed in the VLF phase signals that propagated along trajectories with a north-south or west-east direction, separately. The lower limit of detection for disturbances caused by the X-ray radiation excess is 1.8×10−9 Jm-2 and 2.6×10−7 Jm-2 for the nighttime and daytime lower ionosphere, respectively. Changes in the periodicities of the VLF signal, in the infrasonic band, were observed between 6 and 14 days prior to the seismic events, of magnitude 7, occurred in Haiti in 2010 and in Peru in 2011. Increases in the periodicities of the order of few minutes were observed when the shadow of the total solar eclipse of 2010 was moving on the Earth. Due to the solar eclipse the ionospheric reference height increased in ~3 km and the electron density decreased in 60 % of its quiescent level. Finally, it was found that the effective recombination coefficient, for 80 km height, was 1.1×10−5 cm-3s-1 during the time of the eclipse, which is an intermediate value between the diurnal and nocturnal conditions. / O sistema Terra-baixa ionosfera se comporta como um guia de onda para a propagação de ondas de rádio de frequências muito baixa (VLF). Se neste sistema a condutividade elétrica das fronteiras é perturbada, a propagação da onda é também perturbada. Existe uma variedade de fenômenos físicos transientes que alteram significativamente a condutividade elétrica da baixa ionosfera. Essas alterações são observadas como variações da fase e/ou amplitude com respeito ao nível quiescente. O presente trabalho tem como finalidade estudar a resposta da baixa ionosfera a fenômenos que produzidos na Terra, no sistema solar e até aqueles produzidos muito além do sistema solar. Com esse fim foram utilizados dados de VLF de fase e de amplitude fornecidos pela rede SAVNET (South America VLF NETwork) para o ciclo solar 24. Foi encontrado que a correção pelo fator de distância iluminada e o coeficiente de altura de referência permitem normalizar o efeito do distúrbio ionosférico a partir do sinal de VLF propagado em trajetos com direção de propagação norte-sul ou oeste-leste. O limiar de detecção das perturbações causadas pelo excesso na incidência dos raios-X é 1,8×10−9 Jm-2 para a ionosfera noturna e 2,6×10−7 Jm-2 para a ionosfera diurna. Perturbações ionosféricas observadas como alterações nos períodos do sinal de VLF, na faixa de infrassom, foram observadas entre 6 e 14 dias antes dos eventos sísmicos de magnitude 7 acontecidos no Haiti no ano 2010 e no Peru no ano 2011. Alterações nas periodicidades, da ordem de dezenas de minutos, foram observadas quando a sombra do eclipse solar total de 2010 se deslocava sobre a Terra. Devido ao eclipse, a altura de referência da ionosfera aumentou em ~3 km e a densidade eletrônica diminuiu em 60% com respeito do nível quiescente. Finalmente, foi encontrado que o coeficiente de recombinação efetiva, para o tempo do eclipse e para uma altura de 80 km, foi de 1,1×10−5 cm-3s-1, que é um valor intermediário entre as condições diurnas e noturnas.

In this thesis an ionospheric tomographic algorithm called Multi-Instrument Data Anal- ysis System (MIDAS) is used to reconstruct electron density profiles using the Global Positioning System (GPS) data recorded from 53 GPS receivers over the South African region. MIDAS, developed by the Invert group at the University of Bath in the UK, is an inversion algorithm that produces a time dependent 3D image of the electron density of the ionosphere. GPS receivers record the time delay and phase advance of the trans- ionospheric GPS signals that traverse through the ionosphere from which the ionospheric parameter called Total Electron Content (TEC) can be computed. TEC, the line integral of the electron density along the satellite-receiver signal path, is ingested by ionospheric tomographic algorithms such as MIDAS to produce a time dependent 3D electron density profile. In order to validate electron density profiles from MIDAS, MIDAS derived NmF2 values were compared with ionosonde derived NmF2 values extracted from their respective 1D electron density profiles at 15 minute intervals for all four South African ionosonde stations (Grahamstown, Hermanus, Louisvale, and Madimbo). MIDAS 2D images of the electron density showed good diurnal and seasonal patterns; where a comparison of the 2D images at 12h00 UT for all the validation days exhibited maximum electron concentration during the autumn and summer and a minimum during the winter. A root mean square error (rmse) value as small as 0.88x 10¹¹[el=m³] was calculated for the Louisvale ionosonde station during the winter season and a maximum rmse value of 1.92x 10¹¹[el=m³] was ob- tained during the autumn season. The r² values were the least during the autumn and relatively large during summer and winter; similarly the rmse values were found to be a maximum during the autumn and a minimum during the winter indicating that MIDAS performs better during the winter than during the autumn and spring seasons. It is also observed that MIDAS performs better at Louisvale and Madimbo than at Grahamstown and Hermanus. In conclusion, the MIDAS reconstruction has showed good agreement with the ionosonde measurements; therefore, MIDAS can be considered a useful tool to study the ionosphere over the South African region.

The variability of the thermosphere-ionosphere (T-I) system and its complex behavior is strongly dependent on the continuously changing solar extreme ultraviolet (EUV) and ultraviolet (UV) radiation. The ionospheric electron density (or ion density) is mainly controlled by photoionization, loss by recombination, and transport processes. Transport processes play a significant role in the T-I composition and are responsible for the plasma distribution. The ionospheric response to solar activity has been investigated using total electron content (TEC) and solar EUV observations, as well as various solar proxies. An ionospheric delay of about 1-2 days in the daily TEC on the time scale of 27 days solar rotation period has been reported. It has also been shown that the He-II index is one of the best solar proxies to represent the solar activity at different time scales. The ionospheric delay in relation to solar radiation variations has attracted less attention in the past, especially with respect to its possible mechanisms. However, such studies, are of great importance for a better understanding of the complex interactions between solar radiation and the ionosphere that affect radio communications and navigation systems such as GNSS. Since the T-I region is affected not only by solar radiation, but also by lower atmospheric forcings, geomagnetic activity, and space weather events. Therefore, numerical modeling provides an opportunity to interpret the possible physical mechanism. To shed more light on this issue, a global, 3-D, time-dependent, physics-based numerical model was used in this thesis. It is a comprehensive numerical study to investigate the ionospheric response to solar flux changes during the 27 days solar rotation period. Satellite observations were used for comparison with the model simulations. The average delay for the observed (modeled) TEC is about 17 (16) h againest high-resolution solar EUV flux. The study confirms the capabilities of the model to reproduce the delayed ionospheric response with daily and hourly resolution. These results are in close agreement with previous studies. For the first time, the model simulations were performed to understand the role of eddy diffusion. The study shows that eddy diffusion is an important factor affecting the ionospheric delay and highlights the influence of the lower atmospheric forcing. Eddy diffusion was found to cause a change in thermospheric composition, which induces changes in atomic oxygen by modifying loss and photoionization rates. Atomic oxygen contributes significantly to ionization. Enhanced eddy diffusion leads to a decrease in atomic oxygen ion density and consequently TEC. Therefore, TEC decreases due to enhanced eddy diffusion, showing that the ionospheric delay is reduced. Thus, slow transport leads to maximum ionospheric delay.:Bibliographische Beschreibung Bibliographic Description Acronyms 1 General introduction 1.1 Introduction: Ionospheric delayed response 1.2 Objectives and structure of the thesis 1.3 Model description and data 1.3.1 CTIPe model description 1.3.2 Data 2 Paper 1: Ionospheric delayed response: preliminary results Vaishnav, R., Jacobi, C., Berdermann, J., Schmölter, E., and Codrescu, M.: Ionospheric response to solar EUV variations: Preliminary results 3 Paper 2: Long term trends of ionospheric response to solar EUV variations Vaishnav, R., Jacobi, C., and Berdermann, J.: Long-term trends in the iono- spheric response to solar extreme-ultraviolet variations 4 Paper 3: Comparison between CTIPe model simulations and satellite measurements Vaishnav, R., Schmölter, E., Jacobi, C., Berdermann, J., and Codrescu, M.: Ionospheric response to solar extreme ultraviolet radiation variations: com- parison based on CTIPe model simulations and satellite measurements 5 Paper 4: Role of eddy diffusion in the ionospheric delayed response Vaishnav, R., Jacobi, C., Berdermann, J., Codrescu, M., and Schmölter, E.: Role of eddy diffusion in the delayed ionospheric response to solar flux changes 6 Conclusions 7 Outlook References Acknowledgements Curriculum Vitae Affirmation / Die Veränderungen des Thermosphäre-Ionosphäre (T-I) Systems und dessen Komplexität werden entscheidend durch die sich ständig ändernde extreme ultraviolette (EUV) und ultraviolette (UV) Sonnenstrahlung geprägt. Hierbei wird die ionosphärische Elektronendichte (oder Ionendichte) hauptsächlich durch Photoionisation, Rekombination und Transportprozesse gesteuert. Insbesondere Transportprozesse spielen eine wichtige Rolle für die Zusammensetzung des T-I-Systems und sind für die Plasmaverteilung verantwortlich. Die ionosphärische Reaktion auf Veränderungen der Sonnenaktivität wurde mithilfe des Gesamtelektronengehalts (englisch total electron content, TEC) und Messdaten des solaren EUV-Spektrums sowie solaren Proxys untersucht. Eine ionosphärische Verzögerung von 1 bis 2 Tagen für Tageswerte von TEC wurde für die 27-Tage-Sonnenrotation gefunden. Es wurde auch gezeigt, dass der He-II-Index einer der besten solaren Proxys ist, um die Sonnenaktivität auf verschiedenen Zeitskalen zu beschreiben. Die ionosphärische Verzögerung in Bezug auf Variationen der Sonnenstrahlung wurde in der Vergangenheit wenig Aufmerksamkeit gewidmet. Insbesondere die zugrundenliegenden Mechanismen wurden nicht untersucht. Solche Studien sind jedoch von entscheidender Bedeutung für ein besseres Verständnis der komplexen Wechselwirkungen zwischen Sonnenstrahlung und Ionosphäre, die unteranderem die Leistung von Radiokommunikation und globalen Navigationssystemen beeinflussen. Das T-I-System wird jedoch nicht nur von der solaren EUV-Strahlung kontrolliert. Prozesse der unteren Atmosphäre, geomagnetische Aktivität und Weltraumwettereignisse haben ebenfalls einen Einfluss auf diese Region. Daher bietet sich numerische Modellierung als Möglichkeit für die Interpretation der physikalischen Prozesse an. Zur Klärung der offenen Fragen wurde in dieser Arbeit ein globales, dreidimensionales, zeitabhängiges physikalisches Modell verwendet und eine umfangreiche Studie der ionosphärischen Reaktion auf Veränderungen der Sonnenstrahlungen während der 27-Tage-Sonnenrotation wurde durchgeführt. Hierfür wurden Messdaten von Satellitenmissionen mit den Modellsimulationen verglichen. Im Mittel ergibt sich eine Verzögerung von 16 Stunden aus der Analyse der Messdaten und eine Verzögerung von 17 Stunden aus den Modellsimulationen. Die Studie bestätigt demnach die Fähigkeit des Modells, die verzögerte ionosphärische Reaktion in stündlicher und täglicher Auflösung zu simulieren. Diese Ergebnisse stimmen gut mit vorangegangenen Studien überein. Im Rahmen dieser Arbeit wurden zum ersten Mal Simulationen zum Einfluss der Eddy-Diffusion durchgeführt. Diese Analyse zeigt, dass die Eddy-Diffusion ein wichtiger Faktor für die Ausprägung der ionosphärischen Verzögerung ist und dass der Einfluss von Prozessen der unteren Atmosphäre eine entscheidende Rolle spielt. Es wurde festgestellt, dass die Eddy-Diffusion eine erhebliche Veränderung der thermosphärischen Zusammensetzung verursacht, was wiederum zu Veränderung der Menge des atomaren Sauerstoffs führt. Dies beeinflusst dann die Ionisations- und Verlustrate. Da der atomare Sauerstoff erheblich zur Ionisierung beiträgt. Zunehmender Eddy-Diffusion folgen damit auch verkleinert der atomarer Sauerstoff Ionendichte und TEC. Daher nimmt TEC mit zunehmender Eddy-Diffusion ab und auch die Verzögerung wird kleiner. Andersherum führt ein langsamer Transport zu einem Maximum der ionosphärischen Verzögerung. Diese Dissertation gibt eine umfangreiche Zusammenfassung für das Verständnis der ionosphärischen Verzögerung zu Variationen der solaren EUV-Strahlung. Dafür werden TEC-Messungen mit numerischen Simulationen kombiniert. Weiterhin werden durch Vergleich die besten solaren Proxys für die Beschreibung der solaren Aktivität in T-I-Modellen bestimmt. Dies ist von entscheidender Bedeutung, um den Fokus auf die Verbesserung dieser Modelle zu lenken.:Bibliographische Beschreibung Bibliographic Description Acronyms 1 General introduction 1.1 Introduction: Ionospheric delayed response 1.2 Objectives and structure of the thesis 1.3 Model description and data 1.3.1 CTIPe model description 1.3.2 Data 2 Paper 1: Ionospheric delayed response: preliminary results Vaishnav, R., Jacobi, C., Berdermann, J., Schmölter, E., and Codrescu, M.: Ionospheric response to solar EUV variations: Preliminary results 3 Paper 2: Long term trends of ionospheric response to solar EUV variations Vaishnav, R., Jacobi, C., and Berdermann, J.: Long-term trends in the iono- spheric response to solar extreme-ultraviolet variations 4 Paper 3: Comparison between CTIPe model simulations and satellite measurements Vaishnav, R., Schmölter, E., Jacobi, C., Berdermann, J., and Codrescu, M.: Ionospheric response to solar extreme ultraviolet radiation variations: com- parison based on CTIPe model simulations and satellite measurements 5 Paper 4: Role of eddy diffusion in the ionospheric delayed response Vaishnav, R., Jacobi, C., Berdermann, J., Codrescu, M., and Schmölter, E.: Role of eddy diffusion in the delayed ionospheric response to solar flux changes 6 Conclusions 7 Outlook References Acknowledgements Curriculum Vitae Affirmation

The ionospheric variability and its complexity is strongly dependent on continuous varying intense solar extreme ultraviolet (EUV) and UV radiations. We investigate the ionospheric response to the solar activity variations during the solar cycle (SC) 23 (1999-2008) and 24 (2009-2017) by using the F10.7 index, and Total Electron Content (TEC) maps provided by the international GNSS service (IGS). Wavelet cross-correlation method is used to evaluate the correlation between F10.7 and the global mean TEC. The maximum correlation is observed at the solar rotation time scale (16-32 days). There is a significant difference in the correlation at the time scale of 32-64 days. During SC 23, the correlation is stronger than during SC 24. This is probably due to the longer lifetime of active regions during SC 23. The wavelet variance estimation method suggests that the variance during SC 23 is more significant than during SC 24. Furthermore, the Coupled Thermosphere Ionosphere Plasmasphere Electrodynamics (CTIPe) model was used to reproduce the ionospheric delay of about 1-2 days observed in the IGS TEC observations. A strong correlation was modelled as well as observed during a high solar activity year (2013) as compared to low a solar activity year (2008). / Die ionosphärische Variabilität ist stark abhängig von der kontinuierlich variierenden intensiven solaren extrem ultravioletten (EUV) und UV-Strahlung. Wir untersuchen die ionosphärische Reaktion auf Variationen der Sonnenaktivität während der Sonnenzyklen (SC) 23 (1999-2008) und 24 (2009-2017) mit Hilfe des F10.7-Radioflussindexes und TEC (Gesamtelektronengehalt, Total Electron Content) -Karten, die vom internationalen GNSS-Dienst (IGS) bereitgestellt werden. Wavelet-Kreuzkorrelation wird verwendet, um die Korrelation zwischen F10.7 und global gemitteltem TEC zu bestimmen. Die maximale Korrelation wird auf der Zeitskala der Sonnenrotation (16-32 Tage) beobachtet. Es gibt einen signifikanten Unterschied in der Korrelation auf der Zeitskala von 32 bis 64 Tagen. Während des SC 23 ist die Korrelation stärker als während SC 24. Dies ist auf die längere Lebensdauer der aktiven Regionen zurückzuführen. Das Wavelet-Varianz-Schätzverfahren legt nahe, dass die Varianz beim SC 23 mehr von Bedeutung ist, als während SC 24. Des Weiteren wurde das gekoppelte Thermosphäre-Ionosphäre-Plasmasphäre-Elektrodynamik (CTIPe) Modell verwendet, um die ionosphärische Verzögerung von 1-2 Tagen zu reproduzieren. Eine starke Korrelation wurde bei hoher Sonnenaktivität (2013) im Gegensatz zu geringer Sonnenaktivität (2008) simuliert und auch beobachtet.

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電離層延遲為精密GPS定位及導航的主要誤差來源之一，為了減弱電離層延遲對GPS定位及導航的影響，可以利用雙頻GPS觀測量構建即時的區域電離層模型，以提供即時的電離層延遲誤差改正參數，修正因電離層延遲效應造成的定位及導航誤差。 本研究以台灣地區雙頻GPS觀測量，採用相位水準技術估算全電子含量（TEC）、修正的單站演算法估計各GPS衛星及接收儀之L1/L2差分延遲及以UNSW網格式演算法構建區域的電離層模型。並進而求得適合台灣南部地區網格式電離層模型之較佳網格大小及探討使用那些內政部衛星追蹤站的觀測資料，便可有效建立台灣地區的電離層模型。 / The ionospheric delay is one of the main sources of error in precise GPS positioning and navigation. The magnitude of the ionospheric delay is related to the Total Electron Content (TEC) along the radio wave path from a GPS satellite to the ground receiver. The TEC is a function of many variables, including long and short term changes in solar ionising flux, magnetic activity, season of the year, time of day, user location and viewing direction. A dual-frequency GPS receiver can eliminate (to the first order) the ionospheric delay through a linear combination of L1 and L2 observables. However, the majority of civilians use low-cost single-frequency GPS receivers that cannot use this option. Consequently, it is beneficial to estimate ionospheric delays over the region of interest, in real-time, in support of single-frequency GPS positioning and navigation applications. In order to improve real-time regional ionosphere modelling performance, a grid-based algorithm is proposed. Data from the southern Taiwan region GPS network were used to test the ionosphere modelling algorithms. From the test results described here, it is shown that the performance of real-time regional ionosphere modelling is improved significantly when the proposed algorithm is used.