L’utilisation des coquilles carbonatées de foraminifères planctoniques comme marqueurs paléocéanographiques repose sur l’hypothèse fondamentale que chaque espèce morphologique correspond à une espèce biologique caractéristique d’un habitat spécifique. Cette relation empirique a été récemment remise en cause par des analyses moléculaires qui ont révélé la présence systématique de plusieurs espèces génétiques (espèces cryptiques) au sein des morpho-espèces actuelles. Il a été suggéré que ces espèces cryptiques ou génotypes, présentaient (1) des préférences biogéographiques et écologiques restreintes par rapport à leur morpho-espèce respective et (2) des différences morphologiques. Dans ce travail, nous avons caractérisé la diversité génétique, morphologique et écologique de 4 morpho-espèces clefs de la paléocéanographie, i.e. Orbulina universa, Truncorotalia truncatulinoides, Globoconella inflata et Globigerina bulloides. Cette étude repose sur le développement d’un protocole d’extraction ADN non destructif pour la coquille calcaire, permettant l’analyse conjointe de la variabilité génétique et morphologique d’un même individu. Les variations de forme ou de porosité de chacun des génotypes des morphoespèces ont été quantifiées. Il apparaît que le fort degré de plasticité morphologique largement documenté chez les foraminifères planctonique et jusqu’alors interprété comme écophénotypique, est au moins en partie la conséquence du regroupement de plusieurs génotypes présentant des morphologies et préférences écologique particulières. Sur la base de ces observations, des modèles de reconnaissance morphologique permettant d’identifier les génotypes à partir de la morphologie de la coquille, utilisables à l’échelle populationnelle, ont été développés. Afin de quantifier l’impact de l’intégration de la diversité cryptique dans les reconstitutions paléocéanographiques basées sur les assemblages de foraminifères planctoniques, les fonctions de transfert couramment utilisées ont été re-calibrées en intégrant les distributions restreintes des génotypes d’O. universa, T. truncatulinoides, G. inflata et G. bulloides. Ces re-calibrations conduisent à un degré de précision jusqu’alors jamais atteint dans les reconstructions paléocéanographiques basées sur les assemblages de foraminifères planctoniques. / The usefulness of calcareous shells of planktonic foraminifera as a paleoceanographic proxy relies on the key hypothesis that each morphospecies corresponds to a biological species with a specific habitat. This empirical relationship has been challenged since molecular analyses have revealed a significant level of cryptic genetic diversity among modern morphospecies of planktonic foraminifera. Previous workers have suggested that the cryptic species or genotypes (1) display narrower biogeographic and ecological ranges than their related morphospecies, and (2) exhibit shell morphological differences. In this work, we have characterized the genetic, morphological and ecological diversity among four planktonic foraminiferal morphospecies of significance in paleoceanography, i.e. Orbulina universa, Truncorotalia truncatulinoides, Globoconella inflata and Globigerina bulloides. Our study relies on the development of a new single-cell DNA extraction protocol that retains the shell, allowing direct morpho-genetic comparisons. Shape or porosity variations within each genotype have been quantified. It appears that the high degree of morphological plasticity widely documented in planktonic foraminifera and classically seen as ecophenotypy, is at least partly the spurious consequence of lumping several genotypes that display morphological and environmental preferences. Based on these observations, we developed several population-scale models, which allow recognition of the cryptic species based on their shell morphology. Finally, in order to quantify the impact of integrating cryptic diversity in assemblage-based aleoceanographic reconstructions, we have re-calibrated transfer functions based on the ecological ranges of the genotypes of O. universa, T. truncatulinoides, G. inflata and G. bulloides in the southern oceans. Such recalibrations led to a great, previously never reached improvement in the accuracy of the assemblage-based paleoceanographic reconstructions.

La solution numérique des systèmes dynamiques est un moyen efficace pour étudier des phénomènes physiques complexes. Cependant, dans un cadre à grande échelle, la dimension du système rend les calculs infaisables en raison des limites de mémoire et de temps, ainsi que le mauvais conditionnement. La solution de ce problème est la réduction de modèles. Cette thèse porte sur les méthodes de projection pour construire efficacement des modèles d'ordre inférieur à partir des systèmes linéaires dynamiques de grande taille. En particulier, nous nous intéressons à la projection sur la réunion de plusieurs sous-espaces de Krylov standard qui conduit à une classe de modèles d'ordre réduit. Cette méthode est connue par l'interpolation rationnelle. En se basant sur ce cadre théorique qui relie la projection de Krylov à l'interpolation rationnelle, quatre algorithmes de type Lanczos rationnel pour la réduction de modèles sont proposés. Dans un premier temps, nous avons introduit une méthode adaptative de type Lanczos rationnel par block pour réduire l'ordre des systèmes linéaires dynamiques de grande taille, cette méthode est basée sur l'algorithme de Lanczos rationnel par block et une méthode adaptative pour choisir les points d'interpolation. Une généralisation de ce premier algorithme est également donnée, où différentes multiplicités sont considérées pour chaque point d'interpolation. Ensuite, nous avons proposé une autre extension de la méthode du sous-espace de Krylov standard pour les systèmes à plusieurs-entrées plusieurs-sorties, qui est le sous-espace de Krylov global. Nous avons obtenu des équations qui décrivent cette procédure. Finalement, nous avons proposé une méthode de Lanczos étendu par block et nous avons établi de nouvelles propriétés algébriques pour cet algorithme. L'efficacité et la précision de tous les algorithmes proposés, appliqués sur des problèmes de réduction de modèles, sont testées dans plusieurs exemples numériques. / Numerical solution of dynamical systems have been a successful means for studying complex physical phenomena. However, in large-scale setting, the system dimension makes the computations infeasible due to memory and time limitations, and ill-conditioning. The remedy of this problem is model reductions. This dissertations focuses on projection methods to efficiently construct reduced order models for large linear dynamical systems. Especially, we are interesting by projection onto unions of Krylov subspaces which lead to a class of reduced order models known as rational interpolation. Based on this theoretical framework that relate Krylov projection to rational interpolation, four rational Lanczos-type algorithms for model reduction are proposed. At first, an adaptative rational block Lanczos-type method for reducing the order of large scale dynamical systems is introduced, based on a rational block Lanczos algorithm and an adaptive approach for choosing the interpolation points. A generalization of the first algorithm is also given where different multiplicities are consider for each interpolation point. Next, we proposed another extension of the standard Krylov subspace method for Multiple-Input Multiple-Output (MIMO) systems, which is the global Krylov subspace, and we obtained also some equations that describe this process. Finally, an extended block Lanczos method is introduced and new algebraic properties for this algorithm are also given. The accuracy and the efficiency of all proposed algorithms when applied to model order reduction problem are tested by means of different numerical experiments that use a collection of well known benchmark examples.

This final thesis deals with the approximation of time delay in time invariant systems. First, the generalized Laguerre functions and their characteristics are presented. After this, the approximation of the Dirac delta function with the help of these functions is shown. Also, the choice of the free parameters is discussed and the results are evaluated with the help of energy. In the final part of the thesis, the approximations of systems with generalized and simple Laguerre functions are compared.

This thesis deals with transmission of data over power-line. There is theoretically described PLC technology and its classification, properties and used modulation techniques. A substantial part is focused on the mathematical description of distribution network using two methods, with multipath propagation and ABCD matrix. These methods are mutually compared. Furthermore, they are examined depending on the transfer functions of the topology and capabilities for unknown topology. Calculations of transfer functions are implemented using Matlab. The results were then processed graphically and evaluated.

The thesis is focused on PLC technology issues and thus the data transmission over a power-line. This work describes characteristics of the PLC technology, its usage, functional principles and used modulation techniques. The main part of the work describes individual kinds of interferences in the network. The method of necessary steps against these interferences by using the right modulation and relevant coding is also described in the thesis. On the basis of theoretical knowledge, the models of interferences are realized in Matlab/Simulink. The simulative model of power-lines with random parameters is designed and realized for each elected techniques of modulation (BPSK, QPSK, ASK, FSK). The method of PLC channels modeling is chose as a multipath signal spreading for topology with one and two branching and the dependence of their transmission functions are inquired too. The analysis of interference influence on the data transmission is performed via the created models. All acquired results are compared and evaluated in the conclusion of this thesis.

The aim of this thesis is to determine the size of overshoot produced at the output of a linear continuous second order system controlled by pulse width modulation depending on the period and duty cycle of the modulation and system parameters. This thesis contains analytic calculation of the size of overshoot produced at the output of the second order system with damping ratio > 0, except the damping ratio equals to 1 (i.e. both underdamped and damped system) depending on period and duty cycle of the modulation. This thesis also includes a comparison of partial analytic results to numerical simulation in Matlab program and also with measurement at second order system model.

Hybrid electric vehicle (HEV) concept has, combining conventional internal combustion engines and electric drives, gained more and more interest due to its environmental friendly features. A PMSynRel based electric drive is considered as a good option due to its high torque density and high efficiency. To reduce the overall cost of HEVs, the position resolvers can be replaced by Hall-sensors or using sensorless control. However, the dynamics of such electric drives may be degraded. The main objective of this MSc project is to develop torque dynamics of such electric drives when operating with/without a position sensor. The developed torque dynamic can be used to analyze the limits of hall senor/sensorless strategy when, e.g. anti-oscillation control isrequired. The torque dynamic is presented as a matrix based transfer function extracted from the speed responses and torque responses using Identification Tool Box in Matlab. Firstly, the transfer function was derived by means of simulations in both time and frequency domains. Secondly, similar procedures were applied to extract the transfer functions based on the experimental results.

Solar-blind Ultraviolet cameras are used to detect missile plumes and perform the detection of corona on high voltage electrical lines. This study investigates the influence of the spectral transfer function of a specific solar-blind Ultraviolet camera upon Ultraviolet energy measurement results. In addition to the spectral transfer response investigated, is the influence of other related factors, including the specific camera operation and design. The possibility that the particular camera‟s measurements are being influenced by its own spectral transfer function, is initially investigated by using a simplified model. The objective of the model was to determine if the hypothesis is possible. In addition to the spectral transfer function of the camera, other factors that could influence camera measurements were also investigated in the literature. Included are highlights from other research conducted utilising this type of camera for high voltage electrical purposes, as well as comments for further research. Subsequently experiments were executed to characterise the camera, including the determination of the spectral transfer function of the specific camera, taking into considering limitations of the camera and related equipment. Derived from the spectral transfer of the camera and the other experiments and literature, a proposed method of calibration is presented, as well as suggestions for the improvement of the camera and better utilisation thereof. / Son-blind ultraviolet kameras word gebruik om missiel uitlaat gasse sowel as korona op hoogspannings kraglyne op te spoor. Die studie ondersoek die invloed van die spektrale oordragfunksie van „n spesifieke son-blind ultraviolet kamera op ultraviolet energie meetingsresultate. Addisioneel tot die spektrale response geondersoek, is die invloed van ander verwante faktore op metings insluitend die spesifieke kamera se werking en ontwerp. Die moontlikheid dat die spesifieke kamera se metings beïnvloed word deur sy eie spektrale oordragfunksie, word aanvanklik eers ondersoek aan die hand van ‟n eenvoudige model. Die doel van die model is om te bepaal of die hipotese moontlik is. Addisioneel tot die spektrale oordragfunksie van die kamera, word ander faktore wat die kamerametings kon beïnvloed het, ook ondersoek in die literatuur. Ingesluit is hoogtepunte van ander navorsing wat die tipes kameras gebruik vir hoogspannings elektriese doeleindes, plus kommentaar vir verdere navorsing. Vervolgens is eksperimente uitgevoer om die kamera te karakteriseer, insluitend die bepaling van die spesifieke kamera se spektrale oordragfunksie, met inagneming van die beperkings van kamera en verwante toerusting. Afgelei uit die spektrale oordragfunksie van die kamera en die ander eksperimente en literatuurstudie, is „n voorgestelde kalibrasiemetode aangebied, asook voorstelle vir die verbetering en die kamera en meer effektiewe gebruik daarvan. / Dissertation (MEng (Electronic Engineering))--University of Pretoria, 2015. / Electrical, Electronic and Computer Engineering / MEng (Electronic Engineering) / Unrestricted

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