This thesis proposes a method for determining the optimal antenna element radiation characteristics which maximize diversity gain given a specific power angular spectrum of the propagation environment. The method numerically constructs the eigenfunctions of the covariance operator for the scenario subject to constraints on the power radiated by each antenna as well as the level of supergain allowed in the solution. The optimal antenna characteristics are produced in terms of radiating current distributions along with their resulting radiation patterns. The results reveal that the optimal antennas can provide significantly more diversity gain than that provided by a simple practical design. Computational examples illustrate the effectiveness of adding additional elements to the optimal array and the relationship between aperture size or the description of the impinging field and the array performance. A synthesis procedure is proposed which uses genetic algorithm optimization to optimally place a reduced number of dipoles. The results from this procedure demonstrate that using the framework in conjunction with optimization strategies can lead to practical designs which perform well relative to the upper performance bound. Finally a novel array architecture is proposed where subsets of antennas are combined together into super-elements which are then combined in the same manner as the optimal array. The simplifications that result from the genetically optimized small array or the super-element array provide a design options which are feasible in many communication applications.

Mobile arrays employing diversity combining and adaptive beamforming techniques overcome multipath fading, improve coverage, and increase capacity in wireless communications systems. In this thesis, diversity combining and adaptive beamforming performance of different four element arrays for mobile (vehicular speed) and portable (pedestrian speed) terminals is investigated. The performance of four element arrays with different configurations and with different element patterns is compared using the square array of four half-wave dipole elements as the baseline. Results from diversity and beamforming measurements, performed in urban and suburban environments for both line-of-sight (LOS) and obstructed multipath channels are used to analyze and compare the performances of different four element arrays. At cumulative probabilities of 10%, 1% and 0.1%, diversity gain and improvement in signal-to-interference-plus-noise-ratio (SINR) are calculated from the diversity combining measurements and interference rejection measurements respectively. Experimental results illustrating the dependence of diversity gain on power imbalance, envelope correlation and diversity-combining scheme are presented. Measurements were performed at 2.05 GHz using the handheld antenna array testbed (HAAT). Low profile linear arrays are shown to provide diversity gain values of 5 to 8 dB and 11 to 16 dB, respectively for switched and maximal ratio combining at the 99% reliability level in non-line-of-sight urban channel. Interference cancellation of 24 to 28 dB was recorded in urban and suburban line-of-sight (LOS) channels for the sectorized square array. Results of vehicular measurements with the arrays mounted on a ground plane supported above the vehicle roof are also reported. / Master of Science

Programa AlÃan de bolsas de estudo de alto nÃvel destinado à AmÃrica Latina / Este trabalho tem como objetivo a aplicaÃÃo da anÃlise tensorial para o tratamento de sinais no domÃnio de comunicaÃÃes sem fio. Utilizando a decomposiÃÃo tensorial conhecida como PARAFAC (decomposiÃÃo por fatores paralelos), um receptor à modelado para um sistema de comunicaÃÃo sem fio que utiliza uma estrutura MIMO na qual cada antena transmissora possui um cÃdigo de espalhamento particular, baseado na tÃcnica de mÃltiplo acesso por divisÃo de cÃdigo (CDMA). Nesse trabalho sÃo analisadas duas estruturas receptoras baseadas na decomposiÃÃo PARAFAC. A primeira à baseada no conhecimento da matriz de cÃdigos de espalhamento e a segunda à baseada no conhecimento da matriz de seqÃÃncia de treinamento. Duas famÃlias de cÃdigos sÃo consideradas: cÃdigos de Hadamard-Walsh e cÃdigos de Hadamard-Walsh truncados. Como resultado, foi observado que os receptores propostos apresentaram rÃpida convergÃncia e foram capazes de eliminar todas as ambigÃidades, inclusive aquelas que sÃo intrÃnsecas à decomposiÃÃo PARAFAC, que foram observadas em outros trabalhos. Resultados de simulaÃÃo sÃo apresentados para comparar o desempenho das duas estruturas receptoras em diversas configuraÃÃes do sistema de comunicaÃÃo, revelando o impacto dos parÃmetros do sistema (nÃmero de antenas transmissoras, nÃmero de antenas receptoras, tamanho do cÃdigo e relaÃÃo sinal-ruÃdo). / This work deals with the application of multi-way analysis to the context of signal processing for wireless communications. A tensor decomposition known as PARAFAC (PARAllel FACtors) is considered in the design of multiple-input multiple-output (MIMO) receiver for a wireless communication system with Spread Spectrum codes. We propose two supervised PARAFAC-based receiver structures for joint symbol and channel estimation. The first one is based on the knowledge of the spreading codes and the second on the knowledge of a training sequence per transmit antenna. Two code structures are considered, which are Hadamard-Wash (HW) and Truncated Hadamard-Walsh (THW). The main advantages of the proposed PARAFAC receivers is on the fact that they exhibit fast convergence and eliminate all ambiguities inherent to the PARAFAC model. Simulation results are provided to compare the performances of the two receivers for several systems configurations, revealing the impact of the number of transmit antennas, number of receiver antennas, code length and signal to noise ratio in their performances.

This dissertation studies the diversity multiplexing tradeoff and the capacity of wireless multiple-relay network. In part 1, we study the setup of the parallel Multi-Input Multi-Output (MIMO) relay network. An amplify-and-forward relaying scheme, Incremental Cooperative Beamforming, is introduced and shown to achieve the capacity of the network in the asymptotic case of either the number of relays or the power of each relay goes to infinity. In part 2, we study the general setup of multi-antenna multi-hop multiple- relay network. We propose a new scheme, which we call random sequential (RS), based on the amplify-and-forward relaying. Furthermore, we derive diversity- multiplexing tradeoff (DMT) of the proposed RS scheme for general single-antenna multiple-relay networks. It is shown that for single-antenna two-hop multiple- access multiple-relay (K > 1) networks (without direct link between the source(s) and the destination), the proposed RS scheme achieves the optimum DMT. In part 3, we characterize the maximum achievable diversity gain of the multi- antenna multi-hop relay network and we show that the proposed RS scheme achieves the maximum diversity gain. In part 4, RS scheme is utilized to investigate DMT of the general multi-antenna multiple-relay networks. First, we study the case of a multi-antenna full-duplex single-relay two-hop network, for which we show that the RS achieves the optimum DMT. Applying this result, we derive a new achievable DMT for the case of multi-antenna half-duplex parallel relay network. Interestingly, it turns out that the DMT of the RS scheme is optimum for the case of multi-antenna two parallel non-interfering half-duplex relays. Furthermore, we show that random unitary matrix multiplication also improves the DMT of the Non-Orthogonal AF relaying scheme in the case of a multi-antenna single relay channel. Finally, we study the general case of multi-antenna full-duplex relay networks and derive a new lower-bound on its DMT using the RS scheme. Finally, in part 5, we study the multiplexing gain of the general multi-antenna multiple-relay networks. We prove that the traditional amplify-forward relaying achieves the maximum multiplexing gain of the network. Furthermore, we show that the maximum multiplexing gain of the network is equal to the minimum vertex cut-set of the underlying graph of the network, which can be computed in polynomial time in terms of the number of network nodes. Finally, the argument is extended to the multicast and multi-access scenarios.

Στην παρούσα διδακτορική διατριβή παρουσιάζεται µια εκτενής µελέτη συστηµάτων απόκλισης τυπωµένων κεραιών για ασύρµατες συσκευές. Η εξέλιξη των ασύρµατων επικοινωνιών και ειδικότερα η κατανόηση των φαινοµένων που λαµβάνουν χώρα στο ασύρµατο κανάλι µετάδοσης έδωσε ώθηση στην ανάπτυξη τεχνικών αντιµετώπισης φαινοµένων όπως η πολυοδευτική εξασθένηση και η διασυµβολική παρεµβολή. Τέτοιες τεχνικές είναι οι τεχνικές απόκλισης και ειδικότερα οι τεχνικές απόκλισης κεραιών (χώρου, πόλωσης και διαγράµµατος ακτινοβολίας) οι οποίες συνδυάζουν τα λαµβανόµενα από διαφορετικές κεραίες σήµατα µε σκοπό την δηµιουργία ενός σήµατος υψηλότερης στάθµης. Η µεθοδολογία αξιολόγησης της ικανότητας απόκλισης ενός συστήµατος κεραιών περιλαµβάνει τα κριτήρια του συντελεστή συσχέτισης των λαµβανοµένων σηµάτων και του λόγου των µέσων ενεργών κερδών των κεραιών που αποτελούν το σύστηµα. Καθοριστικό ρόλο στην τεχνική απόκλισης διαδραµατίζει ο τρόπος που συνδυάζονται τα λαµβανόµενα σήµατα στον δέκτη, µε την τεχνική του µεγίστου λόγου να αποτελεί την βέλτιστη λύση από πλευράς απόδοσης, αλλά ταυτοχρόνως την πιο δύσκολα υλοποιήσιµη. Η ποσοτικοποίηση της ικανότητας απόκλισης ενός συστήµατος πραγµατοποιείται µε το κέρδος απόκλισης το οποίο λαµβάνει διαφορετικές µορφές και ουσιαστικά παρέχει την πληροφορία του ποσοστού βελτίωσης του συνδυασµένου σήµατος σε σχέση µε µία κεραία αναφοράς. Στα πλαίσια της διατριβής αναπτύχθηκαν συστήµατα απόκλισης τυπωµένων κεραιών δύο, τριών, τεσσάρων έως και έξι στοιχείων. Χρησιµοποιήθηκαν κεραίες γεωµετρίας fractal λόγω της σπουδαίας ικανότητας σµίκρυνσης που παρέχει η εν λόγω τεχνική καθώς και το µονόπολο γεωµετρίας ανεστραµµένου F. Ακολουθήθηκε η µεθοδολογία αξιολόγησης της ικανότητας απόκλισης για όλα τα προτεινόµενα συστήµατα και έγινε σύγκριση µεταξύ των συστηµάτων. Μελετήθηκε αφ’ ενός η επίδραση της θέσης της κεραίας σε µία ασύρµατη συσκευή και αφ’ ετέρου η επιλογή της καταλληλότερης προς χρήση κεραίας στην µείωση του φαινοµένου της αµοιβαίας σύζευξης, φαινόµενο το οποίο αποτελεί τον κυριότερο παράγοντα µείωσης της συνολικής ικανότητας απόκλισης σε ένα σύστηµα πολλαπλών κεραιών. Ακόµη, µελετήθηκαν συστήµατα απόκλισης κεραιών τα οποία λειτουργούν σε διαφορετικές µπάντες συχνοτήτων. Τέλος, έγινε µια συγκριτική µελέτη για τον ρόλο που διαδραµατίζει το περιβάλλον και ο τρόπος που κατανέµεται η προσπίπτουσα ισχύς στην συµπεριφορά της απόκλισης των µελετηθέντων συστηµάτων. / This thesis presents a comprehensive study on printed antenna diversity systems for wireless devices. The current upsurge in wireless communications systems and, in particular, the realization of the immanent propagation mechanisms that take place in the transmission medium led to the development of special techniques in order to mitigate the undesired phenomena such as multipath fading and intersymbol interference. Antenna diversity (space, polarization and pattern) is one of these techniques and is based on the assumption that the received signals of two or more antennas could be efficiently combined in order to produce a stronger signal. The evaluation of the diversity performance involves the correlation coefficient of the received signals and the mean effective gain ratio of the diversity antennas. A key role in diversity action plays the combining technique used with the maximum ratio technique producing the best results. Diversity performance is “quantified” by means of diversity gain, which gives the amount of improvement of the combined signal relative to a signal received from a reference antenna. In this thesis, printed antenna diversity systems comprising up to six elements were developed. Antennas of fractal geometry such as the Koch, Minkowski, Sierpinski and FRC monopoles, were utilized due to their inherent miniaturization ability as well as the printed inverted F antenna. All the proposed systems were evaluated according to the methodology mentioned earlier and a comparison of the diversity performance between the systems was carried out. The effect of the antenna placement as well as the proper antenna selection for each system on the reduction of mutual coupling was addressed, which is an issue of primal importance in multi element antenna systems. Multi band antenna diversity systems were also studied. Finally, the impact of the environment’s power distribution on the diversity performance of the antenna systems was considered.

This dissertation studies the diversity multiplexing tradeoff and the capacity of wireless multiple-relay network. In part 1, we study the setup of the parallel Multi-Input Multi-Output (MIMO) relay network. An amplify-and-forward relaying scheme, Incremental Cooperative Beamforming, is introduced and shown to achieve the capacity of the network in the asymptotic case of either the number of relays or the power of each relay goes to infinity. In part 2, we study the general setup of multi-antenna multi-hop multiple- relay network. We propose a new scheme, which we call random sequential (RS), based on the amplify-and-forward relaying. Furthermore, we derive diversity- multiplexing tradeoff (DMT) of the proposed RS scheme for general single-antenna multiple-relay networks. It is shown that for single-antenna two-hop multiple- access multiple-relay (K > 1) networks (without direct link between the source(s) and the destination), the proposed RS scheme achieves the optimum DMT. In part 3, we characterize the maximum achievable diversity gain of the multi- antenna multi-hop relay network and we show that the proposed RS scheme achieves the maximum diversity gain. In part 4, RS scheme is utilized to investigate DMT of the general multi-antenna multiple-relay networks. First, we study the case of a multi-antenna full-duplex single-relay two-hop network, for which we show that the RS achieves the optimum DMT. Applying this result, we derive a new achievable DMT for the case of multi-antenna half-duplex parallel relay network. Interestingly, it turns out that the DMT of the RS scheme is optimum for the case of multi-antenna two parallel non-interfering half-duplex relays. Furthermore, we show that random unitary matrix multiplication also improves the DMT of the Non-Orthogonal AF relaying scheme in the case of a multi-antenna single relay channel. Finally, we study the general case of multi-antenna full-duplex relay networks and derive a new lower-bound on its DMT using the RS scheme. Finally, in part 5, we study the multiplexing gain of the general multi-antenna multiple-relay networks. We prove that the traditional amplify-forward relaying achieves the maximum multiplexing gain of the network. Furthermore, we show that the maximum multiplexing gain of the network is equal to the minimum vertex cut-set of the underlying graph of the network, which can be computed in polynomial time in terms of the number of network nodes. Finally, the argument is extended to the multicast and multi-access scenarios.

Technologies such as direct broad cast satellite system (DBSS), Geosynchronous Earth Orbit (GEO) and Low Earth Orbit (LEO) satellite communications , global positioning system (GPS), high accuracy airborne navigation system and a large variety of radar systems demand for high level of antenna performance. Similar is the requirement for upcoming land based wireless systems such as cellular and indoor communication systems that is needed some more specific and additional features added to the antenna to compensate for the deficiencies encountered in system's performance. Though metallic antennas are capable enough to fulfil all the operational requirements, however at very high frequencies and under hostile temperature conditions they are constrained to face certain limitations. To avoid these constraints the performance of Dielectric Resonator Antennas (DRAs) is evaluated and their new applications are proposed. In the thesis, two types of antenna applications are sought :-First is for tracking and satellite applications that needs a larger aperture coverage in elevation plane. This coverage is realized with a good CP purity by proposing two ports dual linearly polarized DRA working at X-band. The DRA is excited by two orthogonal H-shaped aperture slots yielding two orthogonal polarizations in the broadside direction. A common impedance bandwidth of 5.9% and input port isolation of -35 dB are obtained. The broadside radiation patterns are found to be highly symmetric and stable with cross polarization levels -15dB or better over the entire matching frequency band. The maximum measured gain is found to be 2.5dBi at 8.4 GHz.- The 2nd type of antenna is a dual pattern diversity antenna to be used in the Body Area Network (BAN) context. This antenna combines a slot loop and DRA yielding broadside and end-fire radiation patterns respectively. Based upon the feeding techniques, the DG antenna is further divided into two categories one with planar feeds and the other with non-planar feeds (slot loop excited by planar CPW but DRA excited by vertical monopole) .Both types are successfully designed and measured upon body when configured into different propagation scenarios. The non-planar feeds antenna allows wider common impedance bandwidths than the planar feeds (4.95% vs 1.5%).In both cases, a maximum value of DG=9.5dB was achieved when diversity performance tests were carried out in rich fading environments. This value is close to the one (10 dB) theoretically reached in a pure Rayleigh environment and was obtained with efficiencies of 70% and 85% for the slot loop and the DRA respectively. Therefore, we conclude that these antennas could be used on the shoulders or the chest of professional clothes (firemen, policemen, soldier) where full planar integration is not a key issue but where the communication must be efficient in harsh environments and for various gestures, positions and scenarios

Dans cette thèse, on vise deux types d'applications de l’antenne à résonateur diélectrique (DRA): 1) La réalisation d’un élément rayonnant pour un réseau phasé embarqué sur un véhicule terrestre ou un avion. Cet élément de base requiert une couverture en élévation supérieure à celle des éléments imprimés pour permettre une poursuite typique comprise entre ±70°. La couverture dans un cône large est assurée avec une bonne pureté de polarisation circulaire en alimentant l’antenne à travers deux ouvertures à fente en H orthogonales parfaitement découplées en bande X. 2) La deuxième structure est destinée à la diversité d’antennes dans le contexte des réseaux corporels embarqués ou Body Area Network (BAN). L’antenne à diversité combine une antenne fente en boucle avec un DRA ce qui permet dans un espace compact de réaliser des diagrammes de type “broadside” et “endfire” respectivement. Les alimentations considérées sont de 2 types; Soit purement planaire (microruban et coplanaire) soit mixte en combinant une alimentation coaxiale et une alimentation coplanaire. Caractéristiques principales des antennes à résonateur diélectrique (DRA): Pour répondre aux attentes des utilisateurs en termes de débit, les systèmes de communication sans fils se tournent vers des fréquences de plus en plus élevées. La conséquence de cette montée en fréquence est notamment l’augmentation des pertes au niveau des éléments conducteurs et donc une diminution de l’efficacité globale des systèmes de communication. Dans ces circonstances, les DRA offre de meilleurs résultats par rapport à d'autres familles d'antennes à base d’éléments métalliques. De plus, les DRA offrent des pertes diélectriques négligeables, elles sont peu sensibles aux variations de température et s’intègrent facilement sur des technologies de fabrication planaires / Technologies such as direct broad cast satellite system (DBSS), Geosynchronous Earth Orbit (GEO) and Low Earth Orbit (LEO) satellite communications , global positioning system (GPS), high accuracy airborne navigation system and a large variety of radar systems demand for high level of antenna performance. Similar is the requirement for upcoming land based wireless systems such as cellular and indoor communication systems that is needed some more specific and additional features added to the antenna to compensate for the deficiencies encountered in system's performance. Though metallic antennas are capable enough to fulfil all the operational requirements, however at very high frequencies and under hostile temperature conditions they are constrained to face certain limitations. To avoid these constraints the performance of Dielectric Resonator Antennas (DRAs) is evaluated and their new applications are proposed. In the thesis, two types of antenna applications are sought :-First is for tracking and satellite applications that needs a larger aperture coverage in elevation plane. This coverage is realized with a good CP purity by proposing two ports dual linearly polarized DRA working at X-band. The DRA is excited by two orthogonal H-shaped aperture slots yielding two orthogonal polarizations in the broadside direction. A common impedance bandwidth of 5.9% and input port isolation of -35 dB are obtained. The broadside radiation patterns are found to be highly symmetric and stable with cross polarization levels -15dB or better over the entire matching frequency band. The maximum measured gain is found to be 2.5dBi at 8.4 GHz.- The 2nd type of antenna is a dual pattern diversity antenna to be used in the Body Area Network (BAN) context. This antenna combines a slot loop and DRA yielding broadside and end-fire radiation patterns respectively. Based upon the feeding techniques, the DG antenna is further divided into two categories one with planar feeds and the other with non-planar feeds (slot loop excited by planar CPW but DRA excited by vertical monopole) .Both types are successfully designed and measured upon body when configured into different propagation scenarios. The non-planar feeds antenna allows wider common impedance bandwidths than the planar feeds (4.95% vs 1.5%).In both cases, a maximum value of DG=9.5dB was achieved when diversity performance tests were carried out in rich fading environments. This value is close to the one (10 dB) theoretically reached in a pure Rayleigh environment and was obtained with efficiencies of 70% and 85% for the slot loop and the DRA respectively. Therefore, we conclude that these antennas could be used on the shoulders or the chest of professional clothes (firemen, policemen, soldier) where full planar integration is not a key issue but where the communication must be efficient in harsh environments and for various gestures, positions and scenarios

Dans les systèmes radio mobiles, la diversité représente une technique efficace pour lutter contre l’évanouissement dû aux multi-trajets. La pleine diversité spatiale est atteinte dans les systèmes multiple-input multiple-output (MIMO). Mais, souvent l’intégration d’antennes multiples au niveau de l’émetteur ou du récepteur est coûteuse. Comme alternative, dans les réseaux sans fil multi-hop, la diversité coopérative garantit des gains de diversité spatiale en exploitant les techniques MIMO traditionnelles sans avoir besoin d’antennes multiples. En outre, la diversité coopérative fournit au réseau : un débit important, une énergie réduite et une couverture d’accès améliorée.Dans ce contexte, l’objectif de cette thèse est de concevoir des schémas de codage pour le canal à relais afin de réaliser une meilleure performance en termes de gain de diversité et de gain de codage. D’abord, nous étudions un système de turbo-codage distribué à L-relais en mode soft-decode-and-forward. Ensuite, nous proposons un système de turbocodage coopératif distribué à L-relais en utilisant la concaténation en parallèle des codes convolutifs. Enfin, afin d’améliorer la fiabilité de détection au niveau du noeud relais, nous proposons la technique de sélection d’antenne/relayage-soft. Pour une modulation BPSK, nous dérivons des expressions de la borne supérieure de la probabilité d’erreurbinaire où les différents sous-canaux sont supposés à évanouissement de Rayleigh, indépendants et pleinement entrelacés avec une information instantanée d’état de canal idéal. Une validation des résultats théoriques est également menée par la simulation. / Diversity provides an efficient method for combating multipath fading in mobile radio systems. One of the most common forms of spatial diversity is multiple-input multipleoutput (MIMO), where full diversity is obtained. However, embedding multiple antennas at the transmitter or the receiver can sometimes be expensive. As an alternative to collocated antennas, cooperative diversity in wireless multi-hop networks confirms their ability to achieve spatial diversity gains by exploiting the spatial diversity of the traditional MIMO techniques, without each node necessarily having multiple antennas. In addition, cooperative diversity has been shown to provide the network with importantthroughput, reduced energy requirements and improved access coverage.In light of this, the objective of this thesis is to devise coding schemes suitable for relay channels that aim at showing the best compromise between performance of diversity and coding gains. Firstly, we investigate a distributed turbo coding scheme dedicated to L-relay channels operating in the soft-decode-and-forward mode. Then, we present a proposed distributed turbo coded cooperative (DTCC) scheme, called parallel concatenated convolutional-based distributed coded cooperation. Finally, we investigate antenna/soft-relaying selection for DTCC networks in order to improve their end-to-end performance. Assuming BPSK transmission for fully interleaved channels with ideal channel state information, we define the explicit upper bounds for error probability inRayleigh fading channels with independent fading. Both theoretical limits and simulation results are presented to demonstrate the performances.

The atmospheric lightwave propagation is considerably influenced by the random variations in the refractive index of air pockets due to turbulence. This undesired effect significantly degrades the performance of free-space optical (FSO) communication systems. Interestingly, the severity of such random degradations is highly related to the range of atmospheric propagation. In this thesis, we introduce relay-assisted FSO communications as a very promising technique to combat the degradation effects of atmospheric turbulence. Considering different configurations of the relays, we quantify the outage behavior of the relay-assisted system and identify the optimum relaying scheme. We further optimize the performance of the relay-assisted FSO system subject to some power constraints and provide optimal power control strategies for different scenarios under consideration. Moreover, an application of FSO relaying technique in quantum communications is investigated. The results demonstrate impressive performance improvements for the proposed relay-assisted FSO systems with respect to the conventional direct transmission whether applied in a classical or a quantum communication channel.