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Search results for: differential gps (dgps)
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Polish DGPS System: 1995–2017 – Study of Positioning Accuracy
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Polish DGPS System: 1995–2017 – Study of Positioning Accuracy
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Systems of Nonlinear Fractional Differential Equations
PublicationUsing the iterative method, this paper investigates the existence of a unique solution to systems of nonlinear fractional differential equations, which involve the right-handed Riemann-Liouville fractional derivatives D(T)(q)x and D(T)(q)y. Systems of linear fractional differential equations are also discussed. Two examples are added to illustrate the results.
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System wykrywania i przeciwdziałania zakłóceniom celowym odbiornika GPS
PublicationAutorskie rozwiązanie umożliwiające wykrycie spoofingu GPS i ograniczenie jego oddziaływania odbiornik nawigacyjny. Koncepcja zaproponowanego systemu opiera się na identyfikacji i adaptacyjnej filtracji sygnałów imitujących, które docierają do odbiornika z tego samego kierunku, gdyż są nadawane przez pojedyncza antenę. Zastosowanie odbioru wieloantenowego, umożliwiającego realizację przestrzennej analizy i przetwarzania sygnałów....
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JOURNAL OF DIFFERENTIAL EQUATIONS
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Analiza dokładności wyznaczania różnicowych opóźnień fazowych w systemie wykrywania spoofingu GPS
PublicationSpoofing GPS jest atakiem polegającym na nadawaniu fałszywych sygnałów do odbiornika GPS, w celu wyznaczenia przez niego nieprawidłowych informacji o położeniu, prędkości i czasie. Istnieje potrzeba opracowania skutecznych metod jego wykrywania. Niniejszy artykuł opisuje metodę opartą na pomiarach opóźnień fazowych w układzie wieloantenowym. Przedstawiono analizę dotyczącą dokładności i precyzji estymacji różnic fazy, ustalono...
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DUAL CONSTELLATION GPS/GALILEO MOBILE SYSTEM FOR IMPROVING NAVIGATION OF THE VISUALLY IMPAIRED IN AN URBAN AREA
PublicationIt is well known by users of Portable Navigation Device (PND) and other GPS-based devices that positioning suffers from (local) significant decreases of accuracy in partially obscured environments like urbanized areas, where buildings (especially high buildings), trees or terrain block large portions of the sky. In such areas, GPS receiver performance is usually deteriorated by the reduced number of currently available satellite...
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Badania odbioru sygnałów systemu GPS w obecności sygnałów zakłócających
PublicationNiniejszy artykuł poświęcono opisowi badań możliwości odbioru - w obecności zakłóceń - sygnałów transmitowanych w systemie nawigacji satelitarnej GPS. Tytułem wstępu dokonano ogólnej charakterystyki tego systemu. W części drugiej wymieniono rodzaje zagrożeń stojących przed użytkownikami usługi lokalizacji. Następnie, przedstawiono schemat stanowiska badawczego do oceny wpływu zakłóceń na odbiór sygnałów nawigacyjnych. W punkcie...
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Selected problems of determining the course of railway routes by use of GPS network solution
PublicationW 2009 roku Politechnika Gdańska rozpoczęła prace nad wykorzystaniem ciągłych pomiarów pozycji systemów geodezji satelitarnej dla wyznaczania przebiegu trasy kolejowej z wykorzystaniem fazowych metod GPS opartych o serwis NAVGEO polskiej Aktywnej Sieci Geodezyjnej ASG-EUPOS. W celu eliminacji błędów przypadkowych wpływających na dokładność wyznaczenia trasy kolejowej w następnym roku zespół przeprowadził dwie kampanie pomiarowe...
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Fractional differential equations with causal operators
PublicationWe study fractional differential equations with causal operators. The existence of solutions is obtained by applying the successive approximate method. Some applications are discussed including also the case when causal operator Q is a linear operator. Examples illustrate some results.
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DESIGN OF THE DUAL CONSTELLATION GPS/GALILEO MOBILE DEVICE FOR IMPROVING NAVIGATION OF THE VISUALLY IMPAIRED IN AN URBAN AREA
PublicationIt is well known by users of Personal Navigation Device (PND) and other GPS-based devices that positioning suffers from (local) significant decreases of accuracy in partially obscured environments like urbanized areas, where buildings (especially high buildings), trees or terrain block large portions of the sky. In such areas, GPS receiver performance is usually deteriorated by the reduced number of currently available satellite...
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Technika ochrony odbiorników GPS przed atakami typu spoofing
PublicationArtykuł został poświęcony problemowi tzw. spoofingu w systemach nawigacji satelitarnej GNSS. Mianem spoofingu GNSS określa się niepowołaną transmisję sygnałów GNSS, imitujących sygnały nadawcze z satelitów nawigacyjnych. Celem takiego działania jest doprowadzenie do wskazania przez odbiornik GNSS nieprawidłowych informacji o położeniu, prędkości i czasie. Przeprowadzenie takiego ataku jest możliwe wskutek braku odpowiedniej ochrony...
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Runaway PRN11 GPS satellite
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Możliwości wyznaczania kąta nachylenia drogi z wykorzystaniem systemu GPS
PublicationW pracy przedstawiona została metoda korekty sygnału wysokości pochodzącego z systemu GPS umożliwiająca wyeliminowanie nagłych zmian wysokości, które nie występują w rzeczywistości, a są następstwem odbić lub zaniku sygnału pochodzącego z nadajników satelitarnych. Parametrem charakteryzującym zakres korekty oryginalnego sygnału jest kąt dopuszczalnego pochylenia drogi, który powinien być dobierany ze względu na analizowany typ...
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Wybrane problemy wyznaczania przebiegu trasy kolejowej z wykorzystaniem rozwiązań sieciowych GPS
PublicationW pracy zwrócono uwagę na niewystarczającą skuteczność stosowanych dotychczas na kolei metod kształtowania osi toru w płaszczyźnie poziomej. Sformułowano tezę, że możliwości radykalnej poprawy sytuacji stwarza metoda ciągłych pomiarów satelitarnych GPS, zastosowana przez zespół naukowy z Politechniki Gdańskiej. Przedstawiono ogólna charakterystykę pomiarów satelitarnych i opisano przebieg przeprowadzonych badań terenowych. Przeprowadzone...
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A Criterion for Conditional Instability by the First Approximation for Solutions of Differential Systems
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On neutral differential equations and the monotone iterative method
PublicationThe application of the monotone iterative method to neutral differential equations with deviating arguments is considered in this paper. We formulate existence results giving sufficient conditions which guarantee that such problems have solutions. This approach is new and to the Authors' knowledge, this is the first paper when the monotone iterative method is applied to neutral first-order differential equations with deviating...
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Performance evaluation of GPS anti-spoofing system based on antenna array processing
PublicationThis article concerns the problem of detection and mitigation of spoofing attacks in Global Navigation Satellite Systems. First, background information about spoofing and its possible countermeasures is provided. Next, concept of a novel GPS anti-spoofing system based on antenna array processing is presented and implementation of prototype of this system is described. The third section outlines the performance evaluation of proposed...
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Method of lines for Hamilton-Jacobi functional differential equations.
PublicationInitial boundary value problems for nonlinear first order partial functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations. A method of quasi linearization is adopted. Suffcient conditions for the convergence of the method of lines and error estimates for approximate solutions are presented. The proof of the stability of the diffrential difference...
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Investigation of the 16-year and 18-year ZTD Time Series Derived from GPS Data Processing
PublicationThe GPS system can play an important role in activities related to the monitoring of climate. Long time series, coherent strategy, and very high quality of tropospheric parameter Zenith Tropospheric Delay (ZTD) estimated on the basis of GPS data analysis allows to investigate its usefulness for climate research as a direct GPS product. This paper presents results of analysis of 16-year time series derived from EUREF Permanent Network...
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Differential analysis of dynamic immittance spectra
PublicationThis work presents a new approach to the analysis of immittance spectrograms of systems characterised by non-stationarity. The possibility of linking the evolution of the immittance response with changes in the parameters describing the system is achieved by introducing a spectrum in differential form. By using the above procedure, it becomes possible to separate elements with a dependence (or lack thereof) from an independent...
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Analysis of Positioning Error and Its Impact on High Frequency Performance Parameters of Differential Signal Coupler of Differential Signal Coupler
PublicationThis paper presents the analysis of the effect of differential signal coupler positioning accuracy on its high frequency performance parameters for contact-less high speed chip-to-chip data transmission on PCB application. Our considerations are continuation of the previous works on differential signal coupler concept, design methodology and analysis for high speed data transmission monitoring presented in [1, 2]. The theoretical...
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A Novel Spatio–Temporal Deep Learning Vehicle Turns Detection Scheme Using GPS-Only Data
PublicationWhether the computer is driving your car or you are, advanced driver assistance systems (ADAS) come into play on all levels, from weather monitoring to safety. These modern-day ADASs use various assisting tools for drivers to keep the journey safe; these sophisticated tools provide early signals of numerous events, such as road conditions, emerging traffic scenarios, and weather warnings. Many urban applications, such as car-sharing...
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Noise Analysis of Continuous GPS Time Series of Selected EPN Stations to Investigate Variations in Stability of Monument Types
PublicationThe type of monument that a GPS antenna is placed on plays a significant role in noise estimation for each permanent GPS station. In this research 18 Polish permanent GPS stations that belong to the EPN (EUREF Permanent Network) were analyzed using Maximum Likelihood Estimation (MLE). The antennae of Polish EPN stations are placed on roofs of buildings or on concrete pillars. The analyzed data covers a period of 5 years from 2008...
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Polish DGPS System: 1995-2018 – Studies of Reference Station Operating Zones
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Method of lines for nonlinear first order partial functional differential equations.
PublicationClassical solutions of initial problems for nonlinear functional differential equations of Hamilton--Jacobi type are approximated by solutions of associated differential difference systems. A method of quasilinearization is adopted. Sufficient conditions for the convergence of the method of lines and error estimates for approximate solutions are given. Nonlinear estimates of the Perron type with respect to functional variables...
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The Symmetry of GPS Orbit Ascending Nodes
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Investigation on Tidal Components in GPS Coordinates
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DIFFERENTIAL EQUATIONS
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Systems of boundary value problems of advanced differential equations
PublicationThis paper considers the existence of extremal solutions to systems of advanced differential equations with corresponding nonlinear boundary conditions. The monotone iterative method is applied to obtain the existence results. An example is provided for illustration.
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Compensation of magnetic disturbances caused by sensors in a differential magnetometric system
PublicationStudy of low magnetic fields necessitates the use of precision magnetometers working in a differential system. Minimization of this error is a substantial issue in the case of magnetometers working in a differential system on a mobile platform. The compensation method of heading error consists in taking measurements of changes in magnetic induction with the use of the tested magnetometer for various locations of the sensor in relation...
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A solution of non-linear differential problem with application to selected geotechnical problems
PublicationA certain non-linear differential equation containing a power of unknown function being the solution is considered with application to selected geotechnical problems. The equation can be derived to a linear differential equation by a proper substitution and properties of the operations G and S.
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Implicit difference methods for first order partial differential functional equations
PublicationKlasyczne rozwiązania problemów początkowo brzegowych przybliżane są rozwiązaniami uwikłanych metod różnicowych. Wykazana została zbieżność i stabilność uwikłanych schematów. Dowód stabilności opiera się na technice porównawczej z nieliniowym oszacowaniem typu Perrona dla funkcji danych.
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Low energy differential elastic electron scattering from acetonitrile (CH3CN)
PublicationMeasurements of elastic differential cross sections for electron scattering from acetonitrile (CH3CN) have been performed utilizing a crossed electron-molecular beam experiment and with the relative flow method, for the incident electron energy range of 0.7 eV–30 eV and the scattering angle range of 10◦–130◦. These differential cross sections have been used to calculate the elastic integral and momentum- transfer cross sections,...
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Modelling of joining route segments of differential curvature
PublicationThe paper presents a new general method of modelling route segments curvature using differential equations. The method enables joining of route segments of different curvature. Transitional curves of linear and nonlinear curvatures have been identified in the case of joining two circular arcs by S-shaped and C-oval transitions. The obtained S-shaped curves have been compared to the cubic C-Bezier curves and to the Pythagorean hodograph...
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Data fusion of GPS sensors using Particle Kalman Filter for ship dynamic positioning system
PublicationDepending on standards and class, dynamically positioned ships make use of different numbers of redundant sensors to determine current ship position. The paper presents a multi-sensor data fusion algorithm for the dynamic positioning system which allows it to record the proper signal from a number of sensors (GPS receivers). In the research, the Particle Kalman Filter with data fusion was used to estimate the position of the vessel....
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Dostępność fazowych rozwiązań GPS/Glonass podczas geodezyjnej inwentaryzacji dróg szynowych - na przykładzie linii tramwajowej Gdańska
PublicationW kształtowaniu układu geometrycznego toru i jego późniejszym utrzymywaniu kluczową rolę odgrywały zawsze klasyczne techniki geodezyjne. Jednak jednym z najpoważniejszych problemów z tym związanych jest konieczność operowania w lokalnych układach odniesienia. Wiąże się to z występującymi na kolei długościami elementów geometrycznych - odcinków prostych i łuków kołowych, które obejmują często tak duże odległości, że wizualna ocena...
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Application of the numerical-analytic method for systems of differential equations with parameter
PublicationThe numerical-analytic method is applied to systems of differential equations with parameter under the assumption that the corresponding functions satisfy the Lipschitz conditions in matrix notation. We also obtain several existence results for problems with deviations of an argument
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Model of the double-rotor induction motor in terms of electromagnetic differential
PublicationThe paper presents a concept, a construction, a circuit model and experimental results of the double-rotor induction motor. This type of a motor is to be implemented in the concept of the electromagnetic differential. At the same time it should fulfill the function of differential mechanism and the vehicle drive. One of the motor shafts is coupled to the direction changing mechanical transmission. The windings of the external rotor...
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Short-Period Information in GPS Time Series
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Positive solutions to boundary value problems for impulsive second-order differential equations
PublicationIn this paper, we discuss four-point boundary value problems for impulsive second-order differential equations. We apply the Krasnoselskii's fixed point theorem to obtain sufficient conditions under which the impulsive second-order differential equations have positive solutions. An example is added to illustrate theoretical results.
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Low energy differential elastic electron scattering from trichloromethane
PublicationExperimental differential cross sections for low energy electron scattering from trichloromethane is measured utilizing a crossed electron-molecular beam experiment via the relative flow method, for the incident electron energies in the range of E = 0.5 eV-30 eV and the scattering angles in the range of θ = 10◦ − 130◦ .
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Assessment of the Positioning Accuracy of DGPS and EGNOS Systems in the Bay of Gdansk using Maritime Dynamic Measurements
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Monotone iterative method for first-order differential equations at resonance
PublicationThis paper concerns the application of the monotone iterative technique for first-order differential equations involving Stieltjes integrals conditions. We discuss such problems at resonance when the measure in the Stieltjes integral is positive and also when this measure changes the sign. Sufficient conditions which guarantee the existence of extremal, unique and quasi-solutions are given. Three examples illustrate the results.
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Quasi-solutions for generalized second order differential equations with deviating arguments
PublicationThis paper deal with boundary value problems for generalized second order differential equations with deviating arguments. Existence of quasi-solutions and solutions are proved by monotone iterative method. Examples with numerical results are added.
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Weighted difference schemes for systems of quasilinear first order partial functional differential equations
PublicationThe paper deals with initial boundary value problems of the Dirichlet type for system of quasilinear functional differential equations. We investigate weighted difference methods for these problems. A complete convergence analysis of the considered difference methods is given. Nonlinear estimates of the Perron type with respect to functional variables for given functions are assumed. The proof of the stability of difference problems...
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Existence of solutions with an exponential growth for nonlinear differential-functional parabolic equations
PublicationWe consider the Cauchy problem for nonlinear parabolic equations with functional dependence.We prove Schauder-type existence results for unbounded solutions. We also prove existence of maximal solutions for a wide class of differential functional equations.
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Differential difference inequalities related to hyperbolic functional differential systems and applications
PublicationZagadnienie początkowo brzegowe dla ukadów quasiliniowych równań różniczkowo funkcyjnych przeksztacane jest w układ równań różniczkowych zwyczajnych poprzez dyskretyzację względem zmiennej przestrzennej. Podane są warunki wystarczające dla zbieżności metody prostych. Otrzymany układ równań różniczkowo funkcyjnych zwyczajnych jest rozwiązywany uwikłaną metodą różnicową. Zbieżność schematu różnicowego jest dowodzona metodą porównawczą....
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Justyna Signerska-Rynkowska dr inż.
PeopleI am currently an assistant professor (adjunct) at Gdansk University of Technology (Department of Differential Equations and Mathematics Applications). My scientific interests include dynamical systems theory, chaos theory and their applications to modeling of biological phenomena, especially to neurosciences. In June 2013 I completed PhD in Mathematics at the Institute of Mathematics of Polish Academy of Sciences (IMPAN) (thesis...
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On differential-algebraic problems
PublicationW pracy podano warunki dostateczne na istnienie ekstremalnych lubkwazi rozwiązań dla problemów różniczkowo-algebraicznych z nieliniowymi warunkami brzegowymi. Problem istnienia jednego rozwiązania w/w zagadnień był również dyskutowany.