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Study, analysis and application of optical OFDM, Single Carrier (SC) and MIMO in Intensity Modulation Direct Detection (IM/DD)Mmbaga, Paul Fahamuel January 2015 (has links)
With the rapid growth of wireless data demands and saturation of radio frequency (RF) capacity, visible light communication (VLC) has become a promising candidate to complement conventional RF communication, especially for indoor short range applications. However the performance of the system depends on the propagation and type of system used. An optical Orthogonal Frequency Division Multiplexing (O-OFDM) together with multiple input multiple output (MIMO) in different scenario and modulation techniques are studied in the thesis. A novel optical wireless communication (OWC) multi-cell system with narrow field of view (FOV) is studied. In this system the intensity modulated beam from four light sources are used for communication. The system allows beams to be concentrated in specific areas of the room to serve multiple mobile devices with low interference and hence increase system capacity. The performance of asymmetrically clipped optical orthogonal frequency division multiplexing (ACO-OFDM), direct current biased optical OFDM (DCO-OFDM) and single carrier (SC) modulation are then compared in this system considering single user and multiusers scenarios. The performance of the multi-cell is compared with single cell with wide FOV. It is shown that the capacity for multi-cell system increases with the number of users to 4 times the single user capacity. Also the findings show that multi-cell system with narrow beams can outperform a single wide beam system in terms of coverage area and hence average throughput of about 2.7 times the single wide beam system capacity. One of the impairments in line of sight (LOS) OWC systems is coverage which degrades the performance. A mobile receiver with angular diversity detectors in MIMO channels is studied. The objective is to improve the rank of the channel matrix and hence system throughput. Repetition coding (RC), spatial multiplexing (SMP) and spatial modulation (SM) concepts are used to evaluate throughput across multiple locations in a small room scenario. A novel adaptive spatial modulation (ASM) which is capable of combating channel rank deficiency is devised. Since the receiver is mobile, the channel gains are low in some locations of the room due to the lack of LOS paths between transmitters and receivers. To combat the situation adaptive modulation and per antenna rate control (PARC) is employed to maximise spectral efficiency. The throughputs for fixed transmitters and receivers are compared with the oriented/inclined detectors for different cases. Angular diversity detectors offer a better throughput improvement than the state of the art vertical detectors, for example in ASM angular diversity receiver gives throughput of about 1.6 times that of vertical detectors. Also in SMP the angular detectors offer throughput about 1.4 times that of vertical detectors. SMP gives the best performance compared to RC, SM and ASM, for example SMP gives throughput about 2.5 times that of RC in both vertical detectors and angular diversity receivers. Again SMP gives throughput about 6 times that of SM in both vertical detectors and angular diversity receivers. Also SMP provides throughput about 2 times that of ASM in both vertical detectors and angular diversity receivers. ASM exhibit improvement in throughput about average factor of 3.5 times SM performance in both vertical detectors and angular diversity detectors. As the performance of the system may be jeopardized by obstructions, specular and diffuse reflection models for indoor OWC systems using a mobile receiver with angular diversity detectors in MIMO channels are considered. The target is to improve the MIMO throughput compared to vertically oriented detectors by exploiting reflections from different reflecting surfaces in the room. The throughput across multiple locations in the small room by using RC, SMP and SM approaches is again evaluated. The results for LOS only channels against LOS with specular or diffuse reflection conditions, for both vertical and angular oriented receivers are then compared. The results show that exploiting specular and diffuse reflections provide significant improvements in link performance. For example the reflection coefficient (α) of 0.9 and the antenna separation of 0.6 m, RC diffuse model shows throughput improvement of about 1.8 times that of LOS for both vertical detectors and angular diversity receivers. SM diffuse model shows throughput improvement of about 3 times that of LOS for both vertical detectors and angular diversity receivers. ASM diffuse model shows throughput improvement of about 2 times that of LOS for both vertical detectors and angular diversity receivers. SMP diffuse model shows throughput improvement of about 1.5 times that of LOS for both vertical detectors and angular diversity receiver.
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Particle Image Velocimetry (PIV) Measurements In A Low Intermittency Transitional FlowMandal, Alakesh Chandra 01 1900 (has links) (PDF)
No description available.
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Statistical Analysis of Integrated Circuits Using Decoupled Polynomial ChaosXiaochen, Liu January 2016 (has links)
One of the major tasks in electronic circuit design is the ability to predict the performance of general circuits in the presence of uncertainty in key design parameters. In the mathematical literature, such a task is referred to as uncertainty quantification. Uncertainty about the key design parameters arises mainly from the difficulty of controlling the physical or geometrical features of the underlying design, especially at the nanometer level. With the constant trend to scale down the process feature size, uncertainty quantification becomes crucial in shortening the design time. To achieve the uncertainty quantification, this thesis presents a new approach based on the concept of generalized Polynomial Chaos (gPC) to perform variability analysis of general nonlinear circuits. The proposed approach is built upon a decoupling formulation of the Galerkin projection (GP) technique, where the large matrix is transformed into a block-diagonal whose diagonal blocks can be factorized independently. The proposed methodology provides a general framework for decoupling the GP formulation based on a general system of orthogonal polynomials. Moreover, it provides a new insight into the error level that is caused by the decoupling
procedure, enabling an assessment of the performance of a wide variety of orthogonal polynomials.
For example, it is shown that, for the same order, the Chebyshev polynomials outperforms
other commonly used gPC polynomials.
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Etude de la synchronisation temporelle dans les systèmes MIMO-OFDM appliqués aux réseaux mobiles / Timing synchronization in MIMO-OFDM systems for mobile communicationsRachini, Ali 26 February 2014 (has links)
L'évolution rapide dans les systèmes de communications sansfil couplée à l'utilisation de téléphones mobiles, des services satellite, de l'internet sur les réseaux sans fil et les réseaux locaux nécessitent un débit de données très élevé et une grande fiabilité. Ces débits ont augmenté rapidement dans les nouvelles applications de transmission de données de nouvelle génération. Pour répondre aux contraintes de la limitation du spectre disponible, les systèmes à porteuses multiples (OFDM), permettent une haute efficacité spectrale à cause de l'orthogonalité et un débit total s'approchant du débit de Nyquist. Par ailleurs, un système de réseaux des antennes à multi-entrées et multi-sorties (MIMO) apporte des gains importants, à la fois, pour les liens et les capacités du réseau, sans transmission de puissance supplémentaire ou sans consommation de la bande passante. La combinaison de ces deux systèmes (MIMO et OFDM) permet d’exploiter la robustesse de la liaison sur des canaux sélectifs en fréquence et sur des canaux non corrélés en espace. Une des problématiques de cette combinaison réside dans les méthodes de synchronisation. La synchronisation se divise en deux parties, la synchronisation temporelle et la synchronisation fréquentielle. La synchronisation temporelle se fait, d'une part par la synchronisation grossière qui consiste à estimer le début de chaque trame reçue, et d'autre par la synchronisation fine qui détecte le début de chaque symbole OFDM dans la trame reçue. Le principe de la synchronisation fréquentielle est de trouver le déphasage entre la fréquence à l'émission et la fréquence locale du récepteur. Dans une première partie, nous avons proposé des méthodes pour la synchronisation temporelle en se basant sur des séquences de synchronisation connues au niveau du récepteur. Nous avons réalisé une étude des différentes séquences existantes afin de comparer les efficacités de chacune de ces séquences pour la synchronisation dans un système MIMOOFDM. Dans une deuxième partie, un travail de simulation sous Matlab a été réalisé afin d'étudier les performances de nos méthodes proposées dans des canaux sélectifs en fréquence et à trajets multiples. Les résultats de simulations de ces méthodes expriment la probabilité d’acquisition de synchronisation temporelle selon le SNR. / The current wireless communication systems, mobile phones, satellite services and wireless internet networks require a very high data rate and a highly reliable degree. These rates have increased rapidly in the new applications of data transmission of new generation. To take into account the spectrum limitations, the OFDM has been proposed thanks the orthogonality between sub-carriers and the data rate that approaches to the Nyquist-Shannon sampling rate. Furthermore, the antennas technic (MIMO) can provide significant various gains, a diversity gain that improves the link reliability and the spatial multiplexing gain where different data streams are transmitted over different antennas. The combination of these two systems (MIMO and OFDM) allows to exploit the robustness of the link on the frequency-selective channels and uncorrelated channels in space. One of the issue in the combination MIO-OFDM resides on the synchronization methods. The synchronization is divided into sub parts, timing synchronization and frequency synchronization. Timing synchronization is also divided into two parts, firstly, the coarse timing synchronization is used to estimate the beginning of each received frame, and secondly, the fine timing synchronization which detects the beginning of each OFDM symbol in the received frame. The principle of the frequency synchronization is to find the shifted phase between the transmitted frequency and the local frequency at the receiver. In a first part, we have proposed different methods for timing synchronization based on synchronization sequences known at the receiver. We did a study for various existing sequences to compare the efficiencies of each of these sequences in timing synchronization for MIMO-OFDM systems. In a second part, Matlab’s simulations were conducted to study the performance of our proposed methods in multi-paths frequency-selective channels. Simulations results show the acquisition timing synchronization probability in terms of SNR.
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Modélisations polynomiales des signaux ECG : applications à la compression / Polynomial modelling of ecg signals with applications to data compressionTchiotsop, Daniel 15 November 2007 (has links)
La compression des signaux ECG trouve encore plus d’importance avec le développement de la télémédecine. En effet, la compression permet de réduire considérablement les coûts de la transmission des informations médicales à travers les canaux de télécommunication. Notre objectif dans ce travail de thèse est d’élaborer des nouvelles méthodes de compression des signaux ECG à base des polynômes orthogonaux. Pour commencer, nous avons étudié les caractéristiques des signaux ECG, ainsi que différentes opérations de traitements souvent appliquées à ce signal. Nous avons aussi décrit de façon exhaustive et comparative, les algorithmes existants de compression des signaux ECG, en insistant sur ceux à base des approximations et interpolations polynomiales. Nous avons abordé par la suite, les fondements théoriques des polynômes orthogonaux, en étudiant successivement leur nature mathématique, les nombreuses et intéressantes propriétés qu’ils disposent et aussi les caractéristiques de quelques uns de ces polynômes. La modélisation polynomiale du signal ECG consiste d’abord à segmenter ce signal en cycles cardiaques après détection des complexes QRS, ensuite, on devra décomposer dans des bases polynomiales, les fenêtres de signaux obtenues après la segmentation. Les coefficients produits par la décomposition sont utilisés pour synthétiser les segments de signaux dans la phase de reconstruction. La compression revient à utiliser un petit nombre de coefficients pour représenter un segment de signal constitué d’un grand nombre d’échantillons. Nos expérimentations ont établi que les polynômes de Laguerre et les polynômes d’Hermite ne conduisaient pas à une bonne reconstruction du signal ECG. Par contre, les polynômes de Legendre et les polynômes de Tchebychev ont donné des résultats intéressants. En conséquence, nous concevons notre premier algorithme de compression de l’ECG en utilisant les polynômes de Jacobi. Lorsqu’on optimise cet algorithme en supprimant les effets de bords, il dévient universel et n’est plus dédié à la compression des seuls signaux ECG. Bien qu’individuellement, ni les polynômes de Laguerre, ni les fonctions d’Hermite ne permettent une bonne modélisation des segments du signal ECG, nous avons imaginé l’association des deux systèmes de fonctions pour représenter un cycle cardiaque. Le segment de l’ECG correspondant à un cycle cardiaque est scindé en deux parties dans ce cas: la ligne isoélectrique qu’on décompose en séries de polynômes de Laguerre et les ondes P-QRS-T modélisées par les fonctions d’Hermite. On obtient un second algorithme de compression des signaux ECG robuste et performant. / Developing new ECG data compression methods has become more important with the implementation of telemedicine. In fact, compression schemes could considerably reduce the cost of medical data transmission through modern telecommunication networks. Our aim in this thesis is to elaborate compression algorithms for ECG data, using orthogonal polynomials. To start, we studied ECG physiological origin, analysed this signal patterns, including characteristic waves and some signal processing procedures generally applied ECG. We also made an exhaustive review of ECG data compression algorithms, putting special emphasis on methods based on polynomial approximations or polynomials interpolations. We next dealt with the theory of orthogonal polynomials. We tackled on the mathematical construction and studied various and interesting properties of orthogonal polynomials. The modelling of ECG signals with orthogonal polynomials includes two stages: Firstly, ECG signal should be divided into blocks after QRS detection. These blocks must match with cardiac cycles. The second stage is the decomposition of blocks into polynomial bases. Decomposition let to coefficients which will be used to synthesize reconstructed signal. Compression is the fact of using a small number of coefficients to represent a block made of large number of signal samples. We realised ECG signals decompositions into some orthogonal polynomials bases: Laguerre polynomials and Hermite polynomials did not bring out good signal reconstruction. Interesting results were recorded with Legendre polynomials and Tchebychev polynomials. Consequently, our first algorithm for ECG data compression was designed using Jacobi polynomials. This algorithm could be optimized by suppression of boundary effects, it then becomes universal and could be used to compress other types of signal such as audio and image signals. Although Laguerre polynomials and Hermite functions could not individually let to good signal reconstruction, we imagined an association of both systems of functions to realize ECG compression. For that matter, every block of ECG signal that matches with a cardiac cycle is split in two parts. The first part consisting of the baseline section of ECG is decomposed in a series of Laguerre polynomials. The second part made of P-QRS-T waves is modelled with Hermite functions. This second algorithm for ECG data compression is robust and very competitive.
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Multiuser Detection in Multiple Input Multiple Output Orthogonal Frequency Division Multiplexing Systems by Blind Signal Separation TechniquesDu, Yu 26 March 2012 (has links)
This dissertation introduces three novel multiuser detection approaches in Multiple Input Multiple Output (MIMO) Orthogonal Frequency Division Multiplexing (OFDM) systems by blind signal separation (BSS) techniques. The conventional methodologies for multiuser detection have to retransmit channel state information (CSI) constantly from the transmitter in MIMO ODFM systems at the cost of economic efficiency, because they require more channel resources to improve the communication quality. Compared with the traditional methodologies, the proposed BSS methods are relatively efficient approaches without the unnecessary retransmission of channel state information.
The current methodologies apply the space-time coding or the spatial multiplexing to implement an MIMO OFDM system, which requires relatively complex antenna design and allocation in the transmitter. The proposed Spatial Division Multiple Access (SDMA) method enables different mobile users to share the same bandwidth simultaneously in different geographical locations, and this scheme requires only one antenna for each mobile user. Therefore, it greatly simplifies the antenna design and allocation.
The goal of this dissertation is to design and implement three blind multiuser detection schemes without knowing the channel state information or the channel transfer function in the SDMA-based uplink MIMO OFDM system. The proposed scenarios include: (a) the BSS-only scheme, (b) the BSS-Minimum Mean Square Error (MMSE) scheme, and (c) the BSS-Minimum Bit Error Ratio (MBER) scheme.
The major contributions of the dissertation include: (a) the three proposed schemes save the commercially expensive cost of channel resources; (b) the proposed SDMA-based uplink MIMO OFDM system simplifies the requirements of antennas for mobile users; (c) the three proposed schemes obtain high parallel computing efficiency through paralleled subcarriers; (d) the proposed BSS-MBER scheme gains the best BER performance; (e) the proposed BSS-MMSE method yields the best computational efficiency; and (f) the proposed BSS-only scenario balances the BER performance and computational complexity.
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Orthogonal and minimum energy high-order bases for the finite element method = Bases ortogonais de alta ordem e de mínima energia para o método de elementos finitos / Bases ortogonais de alta ordem e de mínima energia para o método de elementos finitosSantos, Caio Fernando Rodrigues dos, 1986- 26 August 2018 (has links)
Orientador: Marco Lúcio Bittencourt / Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica / Made available in DSpace on 2018-08-26T18:11:15Z (GMT). No. of bitstreams: 1
Santos_CaioFernandoRodriguesdos_D.pdf: 60307032 bytes, checksum: 4e05fc37f22f1d9206fa3c5665d9bc34 (MD5)
Previous issue date: 2015 / Resumo: Nesse trabalho apresentamos os procedimentos de construção de bases para o Método de Elementos Finitos (MEF) de alta ordem considerando o procedimento de diagonalização simultânea dos modos internos da matriz de massa e rigidez unidimensionais e a ortogonalização dos modos de contorno usando procedimentos de mínima energia. Nesse caso, os conceitos de ortogonalização de mínima energia são usados como uma maneira eficiente de se construir modos de contorno ortogonais aos modos internos das funções de forma $1D$. Novas funções de forma unidimensionais para o MEF de alta ordem são apresentadas para a construção de bases simultaneamente diagonais de mínima energia para o operador de Helmholtz. Além disso, um procedimento para o cálculo das matrizes de massa e rigidez $2D$ e $3D$, como combinação dos coeficientes unidimensionais das matrizes de massa, rigidez e mista é apresentado para elementos quadrilaterais e hexaédricos distorcidos em problemas de projeção, Poisson, estado plano e estado geral em problemas de elasticidade linear. O uso de procedimentos via matrizes unidimensionais permite obter um speedup significativo em comparação com o procedimento padrão, para malhas distorcidas e não distorcidas. Com esse procedimento, é possível armazenar apenas as funções de forma unidimensionais e suas derivadas calculadas nos pontos de integração unidimensionais gerando uma redução no consumo de memória. O desempenho das bases propostas foi verificado através de testes numéricos e os resultados comparados com aqueles usando a base padrão com polinômios de Jacobi. Características como esparsidade, condicionamento numérico e número de iterações usando o método dos gradientes conjugados com precondicionador diagonal também são investigados. Além disso, investigamos o uso da matriz de massa local, utilizando bases simultaneamente diagonais de mínima energia, como pré-condicionador. Os resultados foram comparados com o uso do precondicionador diagonal e SSOR (Symmetric Successive Over Relaxation) / Abstract: In this work we present construction procedures of bases for the high-order finite element method (FEM) considering a procedures for the simultaneous diagonalization of the internal modes of the one-dimensional mass and stiffness matrices and orthogonalization of the boundary modes using minimum energy procedure. The concepts of minimum energy orthogonalization are used efficiently to construct one-dimensional boundary modes orthogonal to the internal modes of the shape functions. New one-dimensional bases for the high-order FEM are presented for the construction of the simultaneously diagonal and minimum energy basis for the Helmholtz norm. Furthermore, we present a calculation procedure for the $2D$ and $3D$ mass and stiffness matrices, as the combination of one-dimensional coefficients of the mass, stiffness and Jacobian matrices. This procedure is presented for quadrilateral and hexahedral distorted elements in projection, Poisson, plane state and general linear elasticity problems. The use of the one-dimensional matrices procedure allows a significant speedup compared to the standard procedure for distorted and undistorted meshes. Also, this procedure stores only one-dimensional shape functions and their derivatives calculated using one-dimensional integration points, which generates a reduction in memory consumption. The performance of the proposed bases was verified by numerical tests and the results are compared with those using the standard basis using Jacobi polynomials. Sparsity patterns, condition numbers and number of iterations using the conjugate gradient methods with diagonal preconditioner are also investigated. Furthermore, we investigated the use of the local mass matrix using simultaneously diagonal and minimum energy bases as preconditioner to solve the system of equations. The results are compared with the diagonal preconditioner and Symmetric Successive Over Relaxation (SSOR) / Doutorado / Mecanica dos Sólidos e Projeto Mecanico / Doutor em Engenharia Mecânica
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Large-eddy simulation of sub-, critical and super-critical Reynolds number flow past a circular cylinderYeon, Seong Mo 01 December 2014 (has links)
Large-eddy simulations of turbulent flows past a circular cylinder have been performed at sub-, critical and super-critical Re using an orthogonal curvilinear grid solver, CFDship-Iowa version 6.2. An extensive verification and validation study has been carried out. Various aspects of the flow field have been investigated.
The aspect ratio of the computational domain has major effects on the results. In general, large aspect ratio produced best results for the sub-critical Re. Small dependency on both aspect ratio and grid resolution was observed for the critical Re. Small aspect ratio and conservative scheme produced best results for the super-critical Re.
Overall flow features and the drag crisis phenomenon have been correctly predicted. A lot of experimental and numerical studies of flow past a circular cylinder were collected and used for the validation of the present LES study. Integral and local variables were in fairly good agreement for the sub-critical Re. Sharp behavior including drag crisis was predicted for the critical Re. Although some discrepancy including early formation of turbulent separation was observed, local flow structures including separation bubble were observed for the super-critical Re.
The formation of secondary vortex near the cylinder wall and its evolution into separation bubble were observed. The spectral analysis showed that the separation bubble had the instabilities close to the shear layer frequency. The proximity of shear layer to the cylinder enhanced the mixing process of boundary layer and shear layer and led to the formation of separation bubble. A snapshot POD method was used to extract flow structures in the boundary layer, shear layer and wake. In the boundary layer, the secondary vortices and separation bubble were successfully extracted. Due to the weak TKE distribution, specific flow structures were hard to find in the shear layer. Large two-dimensional flow structures representing the Karman shedding vortices were extracted for the sub- and super-critical Re.
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Développement de la cycloaddition entre les sydnones et les alcynes tendus pour des applications en bioconjugaison / Development of the strain promoted sydnone-alkyne cycloaddition for bioconjugation applicationsPlougastel, Lucie 06 October 2016 (has links)
La découverte et l’exploration des réactions bio-orthogonales pour le marquage spécifique d’entités biologiques est un défi majeur à portée de main depuis une dizaine d’années. Une variété de réactions bio-orthogonales a récemment été décrite, parmi lesquelles : les réactions de Diels-Alder entre des alcynes ou alcènes tendus et des tétrazines ou encore les cycloadditions entre alcynes tendus et azotures (SPAAC). Ces réactions biocompatibles sont aujourd’hui parmi les plus utilisées pour les applications de marquages in vivo ou in vitro. Récemment notre groupe et le groupe du Pr. Chin ont identifié une nouvelle réaction bio-orthogonale impliquant une sydnone et un alcyne tendu et conduisant à la formation d’un adduit pyrazole. Cette réaction a été nommée SPSAC par analogie à la réaction SPAAC.Le but de ces travaux de thèse a été, dans un premier temps, d’améliorer la cinétique de la réaction de SPSAC en incorporant différents substituants sur le noyau sydnone, de façon a montrer l’intérêt de cette réaction pour des applications en bioconjugaison en comparaison avec la réaction de SPAAC.Dans une deuxième partie et avec l’objectif de pousser plus loin le développement de cette réaction pour des applications en bioconjugaison, nous avons synthétisé des sondes sydnones pro-fluorescentes i.e. qui deviennent fluorescentes suite la réaction de SPSAC avec un alcyne tendu. La sonde la plus prometteuse a été utilisée pour effectuer le marquage sur gel d’une protéine modèle dans des milieux biologiques.Enfin les derniers travaux de cette thèse ont permis d’étendre les applications de la SPSAC à la chimie des matériaux. Une méthodologie de synthèse de sydnones tricycliques hautement conjuguées a été développée. Ces sydnones conduisent par réaction avec des diynes ou des arynes à des structures chirales complexes aux propriétés optiques intéressantes. / The discovery and exploration of bio-orthogonal reactions for the specific labeling of biological entities is a major challenge. Up to now, a variety of bio-orthogonal reactions have been described, including the Diels-Alder reaction between strained alkynes or alkenes and tetrazines or the Strain Promoted Azide-Alkyne Cycloaddition (SPAAC). These “click reactions” are today the most popular tools for in vivo or in vitro chemical modifications of complex biomolecules.Recently, our group and Pr. Chin’s group have identified a new bio-orthogonal reaction involving sydnones and strained alkynes and leading to the formation of pyrazole adducts. This reaction, very similar to the SPAAC, was coined SPSAC for Strain Promoted Sydnone-Alkyne Cycloaddition.The aim of this PhD thesis was first to improve the kinetic properties of the SPSAC by incorporating various substituents on the sydnone ring in order to demonstrate the interest of using this reaction for bioconjugation applications.To extend the potential of this reaction for bio-labelling applications, we then investigated the synthesis of fluorogenic sydnone probes, i.e. sydnones that would emit fluorescence upon reaction with a strain alkyne. The most promising probe was involved in the fast fluorogenic labelling of a protein in a biological medium. This work is described in the second part of the manuscript.Finally, during the last part of my PhD, we extended the application of SPSAC to the field of material science. We developed a methodology enabling a straightforward access to highly conjugated tricycle sydnones. These sydnones, lead to complex chiral structures with interesting optical properties upon reaction with diynes or arynes.
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Modeling, Analysis, and Design of 5G Networks using Stochastic GeometryAli, Konpal 11 1900 (has links)
Improving spectral-utilization is a core focus to cater the ever-increasing demand in data rate and system capacity required for the development of 5G. This dissertation focuses on three spectrum-reuse technologies that are envisioned to play an important role in 5G networks: device-to-device (D2D), full-duplex (FD), and nonorthogonal multiple access (NOMA). D2D allows proximal user-equipments (UEs) to bypass the cellular base-station and communicate with their intended receiver directly. In underlay D2D, the D2D UEs utilize the same spectral resources as the cellular UEs. FD communication allows a transmit-receive pair to transmit simultaneously on the same frequency channel. Due to the overwhelming self-interference encountered, FD was not possible until very recently courtesy of advances in transceiver design. NOMA allows multiple receivers (transmitters) to communicate with one transmitter (receiver) in one time-frequency resource-block by multiplexing in the power domain. Successive-interference cancellation is used for NOMA decoding. Each of these techniques significantly improves spectral efficiency and consequently data rate and throughput; however, the price paid is increased interference. Since each of these technologies allow multiple transmissions within a cell on a time-frequency resource-block, they result in interference within the cell (i.e., intracell interference). Additionally, due to the increased communication, they increase network interference from outside the cell under consideration as well (i.e., increased intercell interference).
Real networks are becoming very dense; as a result, the impact of intercell interference coming from the entire network is significant. As such, using models that consider a single-cell/few-cell scenarios result in misleading conclusions. Hence, accurate modeling requires considering a large network. In this context, stochastic geometry is a powerful tool for analyzing random patterns of points such as those found in wireless networks. In this dissertation, stochastic geometry is used to model and analyze the different technologies that are to be deployed in 5G networks. This gives us insight into the network performance, showing us the impacts of deploying a certain technology into real 5G networks. Additionally, it allows us to propose schemes for integrating such technologies, mode-selection, parameter-selection, and resource-allocation that enhance the parameters of interest in the network such as data rate, coverage, and secure communication.
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