A evolução das redes ópticas para atender o crescimento da demanda por largura de banda tem estimulado a busca por uma maior eficiência na utilização da largura de faixa disponível. O sucesso da implementação prática da técnica de acesso múltiplo por divisão de código (CDMA) em sistemas de comunicações móveis também despertou o interesse por aplicações em redes ópticas (OCDMA). Atributos únicos tais como capacidade flexível sob demanda, segurança na comunicação e alta escalabilidade, incentivaram significativamente as pesquisas. Neste contexto, este trabalho apresenta, primeiramente, uma revisão de várias configurações OCDMA propostas na literatura para qualificar e quantificar códigos válidos, com ênfase nas propriedades de correlação. Em seguida, realiza uma modelagem de sistema óptico abrangendo os subsistemas principais de geração, transmissão e recepção de sinal. O impacto das degradações, referentes à fibra óptica e aos diversos dispositivos que constituem o sistema, é então avaliado e sua influência sobre o desempenho de algumas configurações de codificação é investigado. O conhecimento da forma e das condições de manifestação destas degradações poderá servir de base ao processamento de sinal óptico à luz dos esquemas de codificação. Uma discussão sobre qualidade de serviço (QoS) e sobre flexibilização da aplicação OCDMA em sistemas de comunicação óptica também são também abordadas. / The evolution of optical networks verified in the last few years has been characterized by the search for better bandwidth utilization efficiency. The successful implementation of practical code division for multiple access techniques (CDMA) in mobile communications systems has stimulated new investigations on this topic, particularly in the optical domain (optical CDMA). This is justified due to some remarkable attributes of this technology, such flexibility in code design, capacity on demand, safety, and high scalability. In this context, this dissertation presents, initially, a comprehensive review of several code configurations for OCDMA proposed in the literature, with emphasis particularly on the correlation and users availability properties. Next, it describes the modeling of an optical system consisting of the following three subsystems: generation, transmission, and signal detection. The penalties imposed to the optical codes by the propagating medium, as well as by the devices employed in the system, are accounted for and their influence on the performance of some coding configurations is investigated. The knowledge of how and when these penalties will affect the system is crucial in optical signal processing based on codification schemes. Finally, this work also addresses some aspects related to quality of service (QoS) and flexibility of the OCDMA technology in optical communications systems.

Aiming to achieve the better efficiency in the use of bandwidth (spectral efficiency), as well as a compromise with the energy utilized in the process (power efficiency), the service operators are obliged to change the way in which the information is conveyed. The simplicity of the OOK modulation format has always been the main reason for using it in optical communications. Hence, once the coherent technologies had reached the maturity from a commercial point of view, they have become real alternatives to extend the capacity of networks. In this thesis, the performance of single and multirate FFH-OCDMA networks based on coherent modulation formats is addressed. The following modulation formats are assumed: binary and quadrature phase shift keying (BPSK and QPSK). For single rate networks, BPSK or QPSK are used as the modulation format for all users. For multirate networks, on the other hand, BPSK and QPSK modulation formats are employed for low and high rate transmission users, respectively. For both networks, new bit error rate (BER) formalisms regarding the main deleterious source in OCDMA are derived, namely multipleaccess interference (MAI). The mathematical formalism developed here accounts for any kind of users\' signal waveforms (which are accurately accounted for at the desired user\'s receiver). As a result, it can be successfully used to carry out performance analysis of any OCDMA network. Moreover, it is shown that both low and high rate users can surprisingly achieve similar BER levels. In addition, it is demonstrated that incoherent OOK-based networks are not good candidates for future single and multirate FFH-OCDMA implementations in this interference limited scenario. On the other hand, our results pave the way for BPSK- and QPSK -based networks, which are seen as potential candidates for next generation passive optical networks (NG-PON2), where higher data rates and a vast amount of users will be major network requirements. / No intuito de alcançar uma melhor eficiência no uso da largura de banda (eficiência espectral), bem como um compromisso com a energia utilizada no processo de transmissão de informações (eficiência em potência), as operadoras de serviços estão sendo obrigadas a alterar o modo em que a informações estão sendo transmitidas. Neste sentido, a simplicidade do formato de modulação OOK sempre foi a principal razão para a sua utilização em sistemas de comunicações ópticas. Assim, uma vez que a tecnologia coerente tem alcançado a maturidade do ponto de vista comercial, estas são reais alternativas para aumentar a capacidade das redes de comunicação ópticas. Nesta tese, são avaliados os desempenhos de redes FFH-OCDMA convencionais e de múltiplas taxas baseadas em formatos de modulação coerentes. Os seguintes formatos de modulação assumidos são: modulação por chaveamento de fase binário e por quadratura (BPSK e QPSK). Para redes convencionais, BPSK e QPSK são utilizados como formatos de modulação para todos os usuários. Por outro lado, para redes de múltiplas taxas de transmissão, os formatos de modulação BPSK e QPSK são empregados para baixas e altas taxas, respectivamente. Para ambas as redes, foram derivados novos formalismos matemáticos considerando a principal fonte deletéria de desempenho em OCDMA, comumente chamada de MAI, no cálculo da BER. Os formalismos matemáticos desenvolvidos são generalizados para quaisquer tipos de formas de onda empregada nos sinais dos usuários (as quais são contabilizadas precisamente no receptor do usuário de interesse). Como resultados, o formalismo matemático pode ser utilizado com sucesso para realizar a análise de desempenho de qualquer rede OCDMA. Adicionalmente, é demonstrado que ambos os usuários em baixa ou alta taxa de transmissão podem surpreendentemente alcançar níveis similares de BER. Concomitantemente, é observado que redes incoerentes baseadas em OOK não são boas candidatas para implementações convencionais e de múltiplas taxas de transmissão considerando esse cenário limitado por interferência. Por outro lado, os resultados trilham o caminho para redes baseadas em BPSK e QPSK, as quais são potenciais candidatas para a próxima geração de redes ópticas passivas (NG-PON2), onde os maiores requisitos são as altas taxas de transmissão e grande capacidade de inserção simultânea de usuários.

Cette thèse est consacrée à l'étude théorique et à la conception pratique de schémas de codage conjoint réseau/canal adaptés à différents scénarii de communications dans les réseaux sans fil. Contrairement aux hypothèses conventionnelles retenues dans la littérature (accès multiple orthogonal, absence d'erreurs sur certains liens), les caractéristiques de diffusion et de superposition des signaux propres au canal radio et la présence d'évanouissements lents et de bruit sur tous les liens sont prises en compte dans la formulation du problème et exploitées. Différentes stratégies de coopération au niveau du ou des relais sont examinées et comparées. Le point commun entre toutes ces stratégies est que le système doit fonctionner même en absence de coopération. Seuls le ou les relais et la destination sont informés d'une coopération. Ni les sources, ni le ou les relais ne connaissent l'état du canal à l'émission.
Le premier volet de la thèse porte sur le canal à accès multiple avec relais unique (slow fading MARC). Le problème du codage et décodage conjoint canal/réseau (JNCC/JNCD) est étudié sur un plan théorique et pratique. Différentes hypothèses au niveau de l'accès multiple (semi-orthogonal et non-orthogonal) et différents modes de fonctionnement du relais (half-duplex et full-duplex) sont envisagés. Une nouvelle stratégie de coopération adaptative (SDF pour selective decode and forward) est définie dans laquelle le relais calcule et retransmet une fonction déterministe des messages de sources qu'il a pu décoder sans erreur. Le ré-encodage, défini sur un corps fini (corps binaire), est également conçu de manière à assurer que la performance finale au niveau de la destination atteint bien un ordre de diversité 2.
Le modèle de canal MARC est par la suite étendu à plusieurs relais (slow fading MAMRC). Une analyse théorique est conduite et des nouveaux schémas JNCC/JNCD permettant de s'approcher des limites théoriques sont décrits. Afin d'assurer la diversité pleine, nous proposons de combiner un codage canal binaire et un codage réseau non-binaire.
Pour les deux types de canaux, nous montrons que l'interférence naturellement induite par la diffusion des signaux dans un environnement sans fil, n'est pas un inconvénient mais bien un avantage dès lors qu'on est en mesure de la traiter via des techniques de codage et de décodage sophistiquées (turbo codes et leur décodage, turbo détection). Les gains en termes de capacité (rapportée à une certaine probabilité de coupure) obtenus avec un accès multiple semi-orthogonal ou non-orthogonal sont substantiels comparés à un accès multiple orthogonal (référence).
Dans la dernière partie de la thèse, la stratégie de coopération SDF est comparée à deux autres stratégies de coopération s'appuyant sur un procédé de décodage-et-retransmission "souple" (sans prise de décisions intermédiaires) : l'une basée sur les rapports logarithmiques de probabilité a posteriori sur les bits codés et l'autre basée sur l'estimation de l'erreur quadratique moyenne (MSE). Nous vérifions que la stratégie de coopération SDF fonctionne bien dans la plupart des configurations, les stratégies de coopération souples n'améliorant légèrement les performances que dans certains cas extrêmes. / With the rapid growth of wireless technologies, devices and mobile applications, the quest of high throughput and ubiquitous connectivity in wireless communications increases rapidly as well. Relaying is undoubtedly a key concept to provide coverage extension and capacity increase in wireless networks. Network coding, which allows the intermediate nodes to share their computation capabilities in addition to their resource and their power, has grabbed a significant research attention since its inception in information theory. It has become an attractive candidate to bring promising performance improvement, especially in terms of throughput, in relay-based cellular networks. Substantial research efforts are currently focused on theoretical analysis, implementation and evaluation of network coding from a physical layer perspective. The question is, what is the most efficient and practical way to use network coding in wireless relay-based networks, and whether it is beneficial to exploit the broadcast and multiple-access properties of the wireless medium to perform network coding. It is in such a context, that this thesis proceeds. In the first part of the thesis, the problem of Joint Network-Channel Coding (JNCC) for a Multiple Access Relay Channel (MARC) is investigated in the presence of multiple access interferences and for both of the relay operating modes, namely, half-duplex and full-duplex. To this end, three new classes of MARC, referred to as Half-Duplex Semi-Orthogonal MARC (HD-SOMARC), Half-Duplex Non-Orthogonal MARC (HD-NOMARC), and Full-Duplex Non-Orthogonal MARC (FD-NOMARC) have been introduced and studied. The relaying function in all of the classes is based on a Selective Decode-and-Forward (SDF) strategy, which is individually implemented for each source, i.e, the relay forwards only a deterministic function of the error-free decoded messages. For each class, an information-theoretic analysis is conducted, and practical coding and decoding techniques are proposed. The proposed coding schemes, perform very close to the outage limit for both cases of HD-SOMARC and HD-NOMARC. Besides, in the case of HD-NOMARC, the optimal allocation of the transmission time to the relay is considered. It is also verified that exploiting multiple access interferences, either partially or totally, results in considerable gains for MARC compared to the existing interference-avoiding structures, even in the case of single receive antenna. In the second part of the thesis, the network model is extended by considering multiple relays which help multiple sources to communicate with a destination. A new class of Multiple Access Multiple Relay Channel (MAMRC), referred to as Half-Duplex Semi-Orthogonal MAMRC (HD-SOMAMRC) is then proposed and analyzed from both information theoretic and code design perspective. New practical JNCC schemes are proposed, in which binary channel coding and non binary network coding are combined, and they are shown to perform very close to the outage limit. Moreover, the optimal allocation of the transmission time to the sources and relays is considered. Finally, in the third part of the thesis, different ways of implementing cooperation, including practical relaying protocols are investigated for the half-duplex MARC with semi-orthogonal transmission protocol and in the case of JNCC. The hard SDF approach is compared with two Soft Decode and Forward (SoDF) relaying functions: one based on log a posterior probability ratios (LAPPRs) and the other based on Mean Square Error (MSE) estimate. It is then shown that SDF works well in most of the configurations and just in some extreme cases, soft relaying functions (based on LAPPR or MSE estimate) can slightly outperform the hard selective one.

As redes ópticas passivas (PON), em virtude da oferta de maior largura de banda a custos relativamente baixos, vêm se destacando como possível candidata para suprir a demanda dos novos serviços como, tráfego de voz, vídeo, dados e de serviços móveis, exigidos pelos usuários finais. Uma importante candidata, para realizar o controle de acesso nas PONs, é a técnica de acesso múltiplo por divisão de código óptico (OCDMA), por apresentar características relevantes, como maior segurança e capacidade flexível sob demanda. No entanto, agentes físicos externos, como as variações de temperatura ambiental no enlace, exercem uma influência considerável sobre as condições de operação das redes ópticas. Especificamente, nas OCDMA-PONs, os efeitos da variação de temperatura ambiental no enlace de transmissão, afetam o valor do pico do autocorrelação do código OCDMA a ser detectado, degradando a qualidade de serviço (QoS), além do aumento da taxa de erro de bit (BER) do sistema. O presente trabalho apresenta duas novas propostas de técnicas, utilizando sistemas inteligentes, mais precisamente, controladores lógicos fuzzy (FLC) aplicados nos transmissores e nos receptores das OCDMA-PONs, com o objetivo de mitigar os efeitos de variação de temperatura. Os resultados das simulações mostram que o desempenho da rede é melhorado quando as abordagens propostas são empregadas. Por exemplo, para a distância de propagação de 10 km e variações de temperatura de 20°C, o sistema com FLC, suporta 40 usuários simultâneos com a BER = 10-9, enquanto que, sem FLC, acomoda apenas 10. Ainda neste trabalho, é proposta uma nova técnica de classificação de códigos OCDMA, com o uso de redes neurais artificiais, mais precisamente, mapas auto-organizáveis de Kohonen (SOM), importante para que o sistema de gerenciamento da rede possa oferecer uma maior segurança para os usuários. Por fim, sem o uso de técnica inteligente, é apresentada, uma nova proposta de código OCDMA, cujo formalismo desenvolvido, permite generalizar a obtenção de código com propriedades distintas, como diversas ponderações e comprimentos de códigos. / Passive optical networks (PON), due to the provision of higher bandwidth at relatively low cost, have been excelling as a possible candidate to meet the demand of new services, such as voice traffic, video, data and mobile services, as required by end users. An important candidate to perform access control in PONs, is the Optical Code-Division Multiple-Access (OCDMA) technique, due to relevant characteristics, such as improved security and flexible capacity on demand. However, external physical agents, such as variations in environmental temperature on the Fiber Optic Link, have considerable influence on the operating conditions of optical networks. Specifically, in OCDMA-PONs, the effects of environmental temperature variation in the transmission link affect the peak value on the autocorrelation of the OCDMA code to be detected, degrading the quality of service (QoS), in addition to increasing the Bit Error Rate (BER) of the system. This thesis presents two new proposals of techniques using intelligent systems, more precisely, Fuzzy Logic Controllers (FLC) applied on the transmitters and receivers of OCDMA-PONs, in order to mitigate the effects of temperature variation. The simulation results show that the network performance is improved when the proposed approaches are employed. For example, for the propagation distance of 10 kilometers and temperature variations of 20°C, the FLC system supports 40 simultaneous users at BER = 10-9, whereas without the FLC, the system can accommodate only 10. Furthermore, in this work is proposed a new technique of OCDMA codes classification, using Artificial Neural Networks (ANN), more precisely, the Self-Organizing Maps (SOM) of Kohonen, important for the network management system to provide increased security for users. Finally, without the use of intelligent technique, it is presented a new proposal of OCDMA code, whose formalism developed, allows to generalize the code acquisition with distinct properties, such as different weights and length codes.

Dans ce travail de thèse, nous proposons d'utiliser la technologie ULB pour établir un nouveau système de communication haut débit Radio Impulsionnelle (IR-ULB), basé sur un nouveau schéma de modulation nommé M-OAM (M-Orthogonal Amplitude Modulation) et les formes d'ondes orthogonales MGF (Modified Gegenbaeur Function). Ce système est dédié aux applications sans fil à courte portée, notamment les communications multimédia et le transport intelligent (ITS). Les modulations M-OAM proposées, sont évaluées sous le canal AWGN et les canaux ULB à trajets multiples à savoir IEEE.802.15.3a et IEEE.802.15.4a. Les résultats de simulation montrent que la performance du système proposé, en terme de taux d'erreur binaire (BER), est du même ordre que celle des modulations ULB traditionnelles. En outre, les modulations M-OAM offrent un très haut débit de données avec une faible complexité d'implémentation. En effet, la conception d'un tel système doit certes fournir un très haut débit mais aussi servir un grand nombre d'utilisateurs simultanément avec une bonne qualité de service. Dans cette optique, une nouvelle technique d'accès multiple DS-MGF-OAM est proposée. Ce système multi-utilisateur fait usage de la technique DS-ULB et l'orthogonalité des impulsions MGF pour permettre une communication efficace avec un nombre maximal d'utilisateurs. Néanmoins, l'effet de trajets multiples réduit la qualité de la transmission. Ainsi, la contribution de deux architectures de réception dans l'amélioration des performances est étudiée, à savoir le récepteur RAKE et l'égaliseur MMSE (Minimum Mean Square Error). Cette étude montre que le système de communication M-OAM offre de bonnes performances en terme de qualité de services (QoS). Après l'étape de simulation, les résultats expérimentaux des systèmes proposés dans les environnements réelles sont analysés et discutés. Dans la dernière partie de ce document, nous avons réalisé un prototype de traitement en temps réel sur une plateforme FPGA, offrant des temps de calcul à 3GHz grâce à des algorithmes parallélisables sur des architectures re-configurables. / In this thesis, we propose to use the UWB technology to establish a new communications system Impulse Radio (IR-UWB), based on a new modulation scheme called M-OAM (Orthogonal M-Amplitude Modulation) and orthogonal waveforms MGF (Modified Gegenbauer Function). This system is dedicated to the short-range wireless applications, especially multimedia communications and intelligent transportation (ITS). The proposed modulations M-OAM, are evaluated under the AWGN channel and UWB multipath channel namely IEEE.802.15.3a and IEEE.802.15.4a. Simulation results show that the performance of the proposed system in terms of bit error rate (BER) is the same as that of traditional UWB modulations. In addition, M-OAM modulations offer the highest data rate with low complexity of implementation. Indeed, the design of a such system should certainly provide a very high speed but also serve a large number of concurrent users with good quality of service. In this context, a new multiple access technique DS-MGF-OAM is proposed. This multi-user system makes use of the DS-UWB technology and orthogonal pulses MGF to enable effective communication with a maximum number of users. However, the multi-path effect reduces the quality of the transmission. Thus, the contribution of two receiver architectures in performance improvement is studied, namely the RAKE receiver and MMSE (Minimum Mean Square Error) equalizer. This study shows that the M-OAM communication system offers good performance in terms of quality of service (QoS). Following the simulation step, the experimental results of the proposed systems in real environments are analyzed and discussed. In the last part of this document, we performed a real-time protoptype on an FPGA platform, offering calculation time of 3GHz through parallelizable algorithms on reconfigurable architectures.

Dans ces travaux de thèse, nous proposons un système de communication original permettant d’atteindre un haut débit et de répondre aux exigences de la qualité de service requise pour les communications courte portée dans le cadre du transport intelligent. Ce système se base sur la technologie Ultra Large Bande Impulsionnelle (IR-ULB) et sur un nouveau schéma de modulation nommé M-OAM (M-Orthogonal Amplitude Modulation). Les modulations M-OAM se basent sur le principe des modulations M-QAM en remplaçant les porteuses par des formes d’ondes ULB orthogonales de type MGF (Modified Gegenbauer Function). Ces modulations ont été évaluées sous les conditions d’un canal AWGN et des canaux IEEE 802.15.3a et IEEE 802.15.4a qui tiennent compte des paramètres réels de la route. En plus du haut débit exigé par les communications inter-véhiculaires, il faut assurer un échange d’informations simultané entre plusieurs utilisateurs de la route et garantir une bonne qualité de service. Dans cette optique, une nouvelle technique d’accès multiple adaptée est proposée. Chaque utilisateur a la possibilité d’utiliser la modulation OAM adéquate selon le débit désiré. Le récepteur de ce système se caractérise par un aspect intelligent grâce à l’intégration des principes de la Radio Cognitive (RC) qui permet de détecter l’arrivée du signal et d’identifier les paramètres de la modulation utilisée afin de s’y adapter d’une façon autonome. Une bonne qualité de service est assurée par la proposition d’une nouvelle technique de démodulation qui se base sur les Statistiques d’Ordres Supérieurs (SOS) permettant d’éliminer le bruit Gaussien. Les bonnes performances du système de communication M-OAM ainsi que l’ensemble des aspects proposés ont été validés expérimentalement au sein du laboratoire IEMN-DOAE. Dans la dernière partie de ce document nous avons présenté la réalisation d’un prototype de ce traitement en temps réel sur une plateforme FPGA, en exploitant des algorithmes parallélisables sur des architectures reconfigurables. / In this work of thesis, we propose an original communication system allowing to reach high data rate and to fulfill the requirements of quality of service necessary for the communications short range dedicated to intelligent transport. This system is based on the Ultra Wide Band Impulse (IR-ULB) technology and on new modulation scheme named M-OAM (M-states Orthogonal Amplitude Modulation). M-OAM modulations are based on the principle of modulations M-QAM by replacingthe carriers used for QAM modulation with orthogonal waveforms ULB type MGF (Modified Gegenbauer Function). These modulations were evaluated under the conditions of AWGN channel and IEEE 802.15 channels which take account of the real parameters of the road. Besides the high speed required by inter-vehicular communications, it is necessary to ensure simultaneous information exchange between several users of the road. Accordingly, new adaptive multiple access system is proposed. Each user has the possibility to use the adequate modulation OAM according to the desired speed. The receiver of this system is characterized by an intelligent aspect thanks to the integration of the principle of Cognitive Radio (RC) which makes it able to detect the signal arrival and to identify the parameters of the used modulation in order to adapt the demodulation in an autonomous way. A good quality of service is ensured by the proposed novel demodulation method based on the Higher Orders Statistics (HOS) to eliminate the Gaussian noise. The good performances of M-OAM communication system M-OAM as well as the whole of the suggested aspects are validated in experiments within IEMN-DOAE laboratory. In the last part of this document we presented the realization of prototype using real time processing developed on FPGA plateform and exploiting parallelisable algorithms on reconfigurable architectures.

Τα τελευταία χρόνια χαρακτηρίζονται από μια αλματώδη ανάπτυξη των προϊόντων και υπηρεσιών που βασίζονται στα δίκτυα ασύρματης επικοινωνίας, ενώ προκύπτουν σημαντικές ερευνητικές προκλήσεις. Τα συστήματα πολλαπλών κεραιών στον πομπό και στο δέκτη, γνωστά και ως συστήματα MIMO (multi-input multi-output), καθώς και η τεχνολογία πολλαπλής προσπέλασης με χρήση κωδικών (code division multiple access, CDMA) αποτελούν δύο από τα βασικά μέτωπα ανάπτυξης των ασύρματων τηλεπικοινωνιών. Στα πλαίσια της παρούσας διδακτορικής διατριβής, ασχοληθήκαμε με την ανάπτυξη και μελέτη αλγορίθμων επεξεργασίας σήματος για τα δύο παραπάνω συστήματα, όπως περιγράφεται αναλυτικά παρακάτω. Σχετικά με τα συστήματα MIMO, η πρωτοποριακή έρευνα που πραγματοποιήθηκε στα Bell Labs γύρω στα 1996, όπου αναπτύχθηκε η αρχιτεκτονική BLAST (Bell Labs Layered Space-Time), απέδειξε ότι η χρήση πολλαπλών κεραιών μπορεί να οδηγήσει σε σημαντική αύξηση της χωρητικότητας των ασύρματων συστημάτων. Προκειμένου να αξιοποιηθούν οι παραπάνω δυνατότητες, απαιτείται η σχεδίαση σύνθετων δεκτών MIMO. Προς αυτήν την κατεύθυνση, έχει προταθεί ένας μεγάλος αριθμός μεθόδων ισοστάθμισης του καναλιού. Ωστόσο, οι περισσότερες από αυτές υποθέτουν ότι το ασύρματο κανάλι είναι: 1) χρονικά σταθερό, 2) συχνοτικά επίπεδο (δεν εισάγει διασυμβολική παρεμβολή), και κυρίως 3) ότι είναι γνωστό στο δέκτη. Δεδομένου ότι σε ευρυζωνικά συστήματα μονής φέρουσας οι παραπάνω υποθέσεις είναι δύσκολο να ικανοποιηθούν, στραφήκαμε προς τις προσαρμοστικές μεθόδους ισοστάθμισης. Συγκεκριμένα, αναπτύξαμε τρεις βασικούς αλγορίθμους. Ο πρώτος αλγόριθμος αποτελεί έναν προσαρμοστικό ισοσταθμιστή ανάδρασης αποφάσεων (decision feedback equalizer, DFE) για συχνοτικά επίπεδα κανάλια ΜΙΜΟ. Ο προτεινόμενος MIMO DFE ακολουθεί την αρχιτεκτονική BLAST, και ανανεώνεται με βάση τον αλγόριθμο αναδρομικών ελαχίστων τετραγώνων (RLS) τετραγωνικής ρίζας. Ο ισοσταθμιστής μπορεί να παρακολουθήσει ένα χρονικά μεταβαλλόμενο κανάλι, και, από όσο γνωρίζουμε, έχει τη χαμηλότερη πολυπλοκότητα από όλους τους δέκτες BLAST που έχουν προταθεί έως σήμερα. Ο δεύτερος αλγόριθμος αποτελεί την επέκταση του προηγούμενου σε συχνοτικά επιλεκτικά κανάλια. Μέσω κατάλληλης μοντελοποίησης του προβλήματος ισοστάθμισης, οδηγηθήκαμε σε έναν αποδοτικό DFE για ευρυζωνικά κανάλια MIMO. Τότε, η διαδικασία της ισοστάθμισης εμφανίζει προβλήματα αριθμητικής ευστάθειας, που λόγω της υλοποίησης RLS τετραγωνικής ρίζας αντιμετωπίστηκαν επιτυχώς. Κινούμενοι προς την κατεύθυνση περαιτέρω μείωσης της πολυπλοκότητας, προτείναμε έναν προσαρμοστικό MIMO DFE που ανανεώνεται με βάση τον αλγόριθμο ελαχίστων μέσων τετραγώνων (LMS) υλοποιημένο εξ ολοκλήρου στο πεδίο της συχνότητας. Με χρήση του ταχύ μετασχηματισμού Fourier (FFT), μειώνεται η απαιτούμενη πολυπλοκότητα. Παράλληλα, η μετάβαση στο πεδίο των συχνοτήτων έχει ως αποτέλεσμα την προσεγγιστική διαγωνοποίηση του συστήματος, προσφέροντας ανεξάρτητη ανανέωση των φίλτρων ανά συχνοτική συνιστώσα και επιτάχυνση της σύγκλισης του αλγορίθμου. Ο προτεινόμενος ισοσταθμιστής πετυχαίνει μια καλή ανταλλαγή μεταξύ απόδοσης και πολυπλοκότητας. Παράλληλα με τα παραπάνω, ασχοληθήκαμε με την εκτίμηση του ασύρματου καναλιού σε ένα ασύγχρονο σύστημα CDMA. Το βασικό σενάριο είναι ότι ο σταθμός βάσης γνωρίζει ήδη τους ενεργούς χρήστες, και καλείται να εκτιμήσει τις παραμέτρους του καναλιού ανερχόμενης ζεύξης ενός νέου χρήστη που εισέρχεται στο σύστημα. Το πρόβλημα περιγράφεται από μια συνάρτηση ελαχίστων τετραγώνων, η οποία είναι γραμμική ως προς τα κέρδη του καναλιού, και μη γραμμική ως προς τις καθυστερήσεις του. Αποδείξαμε ότι το πρόβλημα έχει μια προσεγγιστικά διαχωρίσιμη μορφή, και προτείναμε μια επαναληπτική μέθοδο υπολογισμού των παραμέτρων. Ο προτεινόμενος αλγόριθμος δεν απαιτεί κάποια ειδική ακολουθία διάχυσης και λειτουργεί αποδοτικά ακόμη και για περιορισμένη ακολουθία εκπαίδευσης. Είναι εύρωστος στην παρεμβολή πολλαπλών χρηστών και περισσότερο ακριβής από μια υπάρχουσα μέθοδο εις βάρος μιας ασήμαντης αύξησης στην υπολογιστική πολυπλοκότητα. / Over the last decades, a dramatic progress in the products and services based on wireless communication networks has been observed, while, at the same time, new research challenges arise. The systems employing multiple antennas at the transmitter and the receiver, known as MIMO (multi-input multi-output) systems, as well as code division multiple access (CDMA) systems, are two of the main technologies employed for the evolution of wireless communications. During this PhD thesis, we worked on the design and analysis of signal processing algorithms for the two above systems, as it is described in detail next. Concerning the MIMO systems, the pioneering work performed at Bell Labs around 1996, where the BLAST (Bell Labs Layered Space-Time) architecture has been developed, proved that by using multiple antennas can lead to a significant increase in wireless systems capacity. To exploit this potential, sophisticated MIMO receivers should be designed. To this end, a large amount of channel equalizers has been proposed. However, most of these methods assume that the wireless channel is: 1) static, 2) frequency flat (no intersymbol interference is introduced), and mainly 3) it is perfectly known at the receiver. Provided that in high rate single carrier systems these assumptions are difficult to be met, we focused our attention on adaptive equalization methods. More specifically, three basic algorithms have been developed. The first algorithm is an adaptive decision feedback equalizer (DFE) for frequency flat MIMO channels. The proposed MIMO DFE implements the BLAST architecture, and it is updated by the recursive least squares (RLS) algorithm in its square root form. The new equalizer can track time varying channels, and, to the best of our knowledge, it has the lowest computational complexity among the BLAST receivers that have been proposed up to now. The second algorithm is an extension of the previous one to the frequency selective channel case. By proper modeling of the equalization problem, we arrived at an efficient DFE for wideband MIMO channels. In this case, the equalization process encounters numerical instability problems, which were successfully treated by the square root RLS implementation employed. To further reduce complexity, we proposed an adaptive MIMO DFE that is updated by the least mean square (LMS) algorithm, fully implemented in the frequency domain. By using the fast Fourier transform (FFT), the complexity required is considerably reduced. Moreover, the frequency domain implementation leads to an approximate decoupling of the equalization problem at each frequency bin. Thus, an independent update of the filters at each frequency bin allows for a faster convergence of the algorithm. The proposed equalizer offers a good performance - complexity tradeoff. Furthermore, we worked on channel estimation for an asynchronous CDMA system. The assumed scenario is that the base station has already acquired all the active users, while the uplink channel parameters of a new user entering the system should be estimated. The problem can be described via a least squares cost function, which is linear with respect to the channel gains, and non linear to its delays. We proved that the problem is approximately decoupled, and a new iterative parameter estimation method has been proposed. The suggested method does not require any specific pilot sequence and performs well even for a short training interval. It is robust to multiple access interference and more accurate compared to an existing method, at the expense of an insignificant increase in computational complexity.

This work focuses on fixing measurement inaccuracies to which models and figures of merit are susceptible in two wireless communication environments: power amplifier and multipath. To emulate or rate the performance of these environments, models and figures of merit, respectively, are often used. The usefulness of a model depends on how accurately and efficiently it emulates its real-world counterpart. The usefulness of a figure of merit depends on how accurately it represents system behavior. Most discussions on the challenges and trade-offs faced in modeling nearly always focus on the complexity of the device or channel of interest and the resultant difficulty in describing it. Similarly, figures of merit are meant only to summarize the performance of the device or channel. At some point, either in generation or verification of a model or figure of merit, there is a dependence on measured data. Though the complexity and performance of the device or channel are challenges by themselves, there are other significant sources of distortion that must be minimized to avoid errors in the measured data. For this work, the unique distortion of power amplifier and multipath environments is considered, and then errors in measurement which would obscure these distortions are eliminated. Specifically, three measurement issues are addressed: 1) identifying measurement setup artifacts, 2) achieving consistent measurement results and 3) reducing variations in the environment. This work contributes to increasing the accuracy of microwave measurements used in the modeling of nonlinear high-power amplifiers and used in figures of merit for power amplifiers and multipath channels.

Η παρούσα διδακτορική διατριβή πραγματεύεται την ανάλυση και προσομοίωση τηλεπικοινωνιακών δικτύων πολυδιάστατης κίνησης, ενώ δίνεται ιδιαίτερη έμφαση στα οπτικά δίκτυα. Βασικός σκοπός της διατριβής αποτελεί η ανάπτυξη αναλυτικών μοντέλων για τον υπολογισμό παραμέτρων απόδοσης του δικτύου, όπως η πιθανότητα απώλειας σύνδεσης, πιθανότητα απώλειας κλήσης, η καθυστέρηση μετάδοσης και το ποσοστό χρησιμοποίησης του καναλιού μετάδοσης. Τα προτεινόμενα αναλυτικά μοντέλα διαφοροποιούνται ανάλογα με την τεχνολογία δικτύου. Οι τεχνολογίες αυτές είναι: Α) Οπτικά δίκτυα δρομολόγησης μήκους κύματος. Β) Οπτικά δίκτυα πρόσβασης. Γ) Ασύρματα δίκτυα πρόσβασης στο Διαδίκτυο. Για οπτικά δίκτυα δρομολόγησης μήκους κύματος αρχικά μελετάται η περίπτωση απλής οπτικής ζεύξης, ενώ στη συνέχεια εξετάζεται δίκτυο πολλαπλών κόμβων τυχαίας τοπολογίας. Επίσης, προτείνονται αναλυτικά μοντέλα για την περίπτωση της μεταγωγής οπτικών πακέτων με την αποτίμηση της απόδοσης ενός οπτικού διακόπτη, αλλά και δικτύου μεταγωγής οπτικών πακέτων τυχαίας τοπολογίας. Ακολούθως, προτείνονται αναλυτικά μοντέλα για την αποτίμηση της απόδοσης παθητικών οπτικών δικτύων, τα οποία υλοποιούν διαφορετικές μεθόδους πολλαπλής πρόσβασης. Για την περίπτωση της πολλαπλής πρόσβασης με διαίρεση χρόνου μελετάται το παθητικό οπτικό δίκτυο Ethernet, το οποίο υποστηρίζει πολυδιάστατη κίνηση. Αναφορικά με την πολυπλεξία με διαίρεση μήκους κύματος μελετάται ένα υβριδικό παθητικό οπτικό δίκτυο σε επίπεδο κλήσεων. Οι κλήσεις διακρίνονται ανάλογα με τη διαδικασία άφιξης σε τυχαίες και ψευδοτυχαίες κλήσεις, ανάλογα με τις απαιτήσεις σε εύρος ζώνης σε κλήσεις με σταθερές και ελαστικές απαιτήσεις και ανάλογα με τη συμπεριφορά τους κατά την παραμονή τους στο δίκτυο σε κλήσεις σταθερού ρυθμού μετάδοσης και σε κλήσεις οι οποίες εναλλάσσονται μεταξύ ενεργών περιόδων μετάδοσης και περιόδων σιγής. Τέλος, προτείνονται αναλυτικά μοντέλα υπολογισμού απωλειών για την περίπτωση της πολλαπλής πρόσβασης με διαίρεση οπτικού κώδικα, τα οποία λαμβάνουν υπ’όψιν πολλαπλές υπηρεσίες, την παρουσία προσθετικού θορύβου, αλλά και τη δραστηριότητα του χρήστη. Για την αποτίμηση της απόδοσης ασύρματων δικτύων πρόσβασης στο Διαδίκτυο προτείνονται αναλυτικά μοντέλα, τα οποία υλοποιούν το πρωτόκολλο ΙΕΕΕ 802.11 ή το πρωτόκολλο ΙΕΕΕ 802.11e. Η προτεινόμενη ανάλυση υπολογίζει τόσο τη διεκπεραιωτική ικανότητα του δικτύου, όσο και τη συνολική καθυστέρηση μετάδοσης πακέτου ως συνάρτηση της καθυστέρησης στο ασύρματο μέσο και της καθυστέρησης στην ουρά αναμονής. Σε όλες τις περιπτώσεις η ακρίβεια των προτεινόμενων μοντέλων πιστοποιείται/ελέγχεται με την προσομοίωση του δικτύου στον υπολογιστή. / In this PhD dissertation multi-rate models are examined for the performance analysis of telecommunication networks through mathematical analysis and simulation. Particular emphasis is given to optical networks. The main goal is the development of analytical models for the calculation of network performance metrics, such as blocking probabilities, transmission delay and utilization of the common channel. The proposed analytical models are distinguished according to the network technologies. Three different technologies are considered: A) Wavelength routed optical networks. B) Optical access networks. C) Wireless Internet access networks. Multi-rate loss models are proposed for the performance evaluation of wavelength routed optical networks. Firstly, the case of a single link is considered and then a mesh all-optical network is examined. In addition, analytical models are proposed for Optical Packet Switching (OPS) networks, for the case of an all-optical OPS switch and of an OPS mesh network. Multi-rate analytical models are proposed for the evaluation of the performance of Passive Optical Networks (PONs) implementing different multiple access methods. For the case of Time Division Multiple Access (TDMA) the Ethernet PON is studied, which supports multiple service-classes. Regarding the Wavelength Division Multiplexing (WDM) PONs a hybrid WDM-TDMA PON is considered and the call-level performance is evaluated. Calls are distinguished by their arrival process, which can be random or quasi random, by their bandwidth requirements, which can be fixed of elastic and by their behavior during their service, which can be calls of fixed transmission rate or calls that alternate between ON and OFF periods. Finally multi-rate loss models are proposed for the case of Optical Code Division Multiple Access (OCDMA) PONs that take into account the user activity and the presence of additive noise in the transmission channel. For the performance analysis of wireless Internet access networks analytical models are proposed, which implement the IEEE 802.11 protocol or the IEEE 802.11e protocol. The proposed analysis calculated the saturation throughput and the end-to-end packet delay as a function of the Medium Access Control (MAC) delay and the queueing delay. In all cases the accuracy of the proposed models is validated through simulation.

A evolução das redes ópticas para atender o crescimento da demanda por largura de banda tem estimulado a busca por uma maior eficiência na utilização da largura de faixa disponível. O sucesso da implementação prática da técnica de acesso múltiplo por divisão de código (CDMA) em sistemas de comunicações móveis também despertou o interesse por aplicações em redes ópticas (OCDMA). Atributos únicos tais como capacidade flexível sob demanda, segurança na comunicação e alta escalabilidade, incentivaram significativamente as pesquisas. Neste contexto, este trabalho apresenta, primeiramente, uma revisão de várias configurações OCDMA propostas na literatura para qualificar e quantificar códigos válidos, com ênfase nas propriedades de correlação. Em seguida, realiza uma modelagem de sistema óptico abrangendo os subsistemas principais de geração, transmissão e recepção de sinal. O impacto das degradações, referentes à fibra óptica e aos diversos dispositivos que constituem o sistema, é então avaliado e sua influência sobre o desempenho de algumas configurações de codificação é investigado. O conhecimento da forma e das condições de manifestação destas degradações poderá servir de base ao processamento de sinal óptico à luz dos esquemas de codificação. Uma discussão sobre qualidade de serviço (QoS) e sobre flexibilização da aplicação OCDMA em sistemas de comunicação óptica também são também abordadas. / The evolution of optical networks verified in the last few years has been characterized by the search for better bandwidth utilization efficiency. The successful implementation of practical code division for multiple access techniques (CDMA) in mobile communications systems has stimulated new investigations on this topic, particularly in the optical domain (optical CDMA). This is justified due to some remarkable attributes of this technology, such flexibility in code design, capacity on demand, safety, and high scalability. In this context, this dissertation presents, initially, a comprehensive review of several code configurations for OCDMA proposed in the literature, with emphasis particularly on the correlation and users availability properties. Next, it describes the modeling of an optical system consisting of the following three subsystems: generation, transmission, and signal detection. The penalties imposed to the optical codes by the propagating medium, as well as by the devices employed in the system, are accounted for and their influence on the performance of some coding configurations is investigated. The knowledge of how and when these penalties will affect the system is crucial in optical signal processing based on codification schemes. Finally, this work also addresses some aspects related to quality of service (QoS) and flexibility of the OCDMA technology in optical communications systems.