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Neste trabalho a técnica de multiportadoras OFDM (Orthogonal Frequency Division Multiplexing), aplicada a sistemas ópticos, é estudada, com foco principal na geração e transmissão dos chamados supercanais ópticos modulados em altíssimas taxas (até Terabits/s). O OFDM prevê um melhor aproveitamento da largura de banda e, quando comparada à técnica FDM (Frequency Division Multiplexing), permite uma redução de aproximadamente 50% do espectro ocupado. Esta economia proporcionada pela técnica torna-a forte candidata para uso em redes ópticas reconfiguráveis, pois provê melhor eficiência espectral aos sinais com reconfiguração de tráfego remoto. Dois cenários serão abordados: o primeiro, em que o sinal com multiportadoras moduladas de forma híbrida (QAM - quadradure amplitude modulation) é gerado no domínio elétrico para, em seguida, modular uma portadora óptica; e o segundo, no qual as multiportadoras são geradas no domínio óptico e, posteriormente, moduladas individualmente também no domínio óptico - e neste caso o formato de modulação pode variar. Para o segundo caso, três técnicas de geração de supercanais serão estudadas e avaliadas a fim de se realizar uma comparação entre elas. Neste trabalho também serão comparadas as técnicas de recepção óptica direta e coerente, aplicadas a sistemas OFDM. Os resultados para o estudo da geração de multiportadoras ópticas, obtidos através de simulações no software Optisystem v. 9.0, são validados por resultados experimentais obtidos no Laboratório de Comunicações Ópticas da Fundação CPqD. / This manuscript presents a study on the multicarrier modulation technique OFDM (Orthogonal frequency division multiplexing) applied to optical systems. The OFDM technique provides a better use of bandwidth and, compared with FDM (Frequency Division Multiplexing), provides a nearly 50% reduction of the occupied bandwidth. This feature makes the OFDM technique an ideal candidate for reconfigurable optical networks because it allows better spectral efficiency to the signals with remote traffic reconfiguration. The study focuses, mainly, on the theoretical investigation of OFDM applied to the transmission of the so-called optical superchannels, modulated at very high bit rates (above Terabits/s). Two scenarios are discussed: in the first, the multicarrier signal, modulated in a hybrid format (QAM - quadrature amplitude modulation), is generated in the electrical domain before modulating the optical carrier, and in the second the multicarrier beam is generated in the optical domain and subsequently each subcarrier is digitally modulated. In this second approach, three superchannel generation techniques are studied and evaluated for being compared. This work will also compare the direct and coherent detection techniques applied to OFDM systems. The results for the optical multicarrier generation study, obtained by numerical simulation (platform Optisystem v. 9.0), are validated by experimental results obtained at the Laboratory of Optical Communication CPqD Foundation.

We consider the transmission of correlated sources over a multiple access channel(MAC). Multiple access channels are important building blocks in many practical communication systems, e.g., local area networks(LAN), cellular systems, wireless multi-hop networks. Thus this topic has been studied for last several decades. One recent motivation is estimating a random field via wireless sensor networks. Often the sensor nodes are densely deployed resulting in correlated observations. These sensor nodes need to transmit their correlated observations to a fusion center which uses this data to estimate the sensed random field. Sensor nodes have limited computational and storage capabilities and very limited energy. Since transmission is very energy intensive, it is important to minimize it. This motivates our problem of energy efficient transmission of correlated sources over a sensor network. Sensor networks are often arranged in a hierarchical fashion. Neighboring nodes can first transmit their data to a cluster head which can further compress information before transmission to the fusion center. The transmission of data from sensor nodes to their cluster-head is usually through a MAC. At the fusion center the underlying physical process is estimated. The main trade-off possible is between the rates at which the sensors send their observations and the distortion incurred in estimation at the fusion center. The availability of side information at the encoders and/or the decoder can reduce the rate of transmission. In this thesis, the above scenario is modeled as an information theoretic problem. Efficient joint source-channel codes are discussed under various assumptions on side information and distortion criteria. Sufficient conditions for transmission of discrete/continuous alphabet sources with a given distortion over a discrete/continuous alphabet MAC are given. We recover various previous results as special cases from our results. Furthermore, we study the practically important case of the Gaussian MAC(GMAC) in detail and propose new joint source-channel coding schemes for discrete and continuous sources. Optimal schemes are identified in different scenarios. The protocols like TDMA, FDMA and CDMA are widely used across systems and standards. When these protocols are used the MAC becomes a system of orthogonal channels. Our general conditions can be specialized to obtain sufficient conditions for lossy transmission over this system. Using this conditions, we identify an optimal scheme for transmission of Gaussian sources over orthogonal Gaussian channels and show that the Amplify and Forward(AF) scheme performs close to the optimal scheme even at high SNR. Next we investigate transmission of correlated sources over a fast fading MAC with perfect or partial channel state information available at both the encoders and the decoder. We provide sufficient conditions for transmission with given distortions. We also provide power allocation policies for efficient transmission. Next, we use MAC with side information as a building block of a hierarchical sensor network. For Gaussian sources over Gaussian MACs, we show that AF performs well in such sensor network scenarios where the battery power is at a premium. We then extend this result to the hierarchical network scenario and show that it can perform favourably to the Slepian-Wolf based source coding and independent channel coding scheme. In a hierarchical sensor network the cluster heads often need to send only a function of the sensor observations to the fusion center. In such a setup the sensor nodes can compress the data sent to the cluster head exploiting the correlation in the data and also the structure of the function to be computed at the cluster head. Depending upon the function, exploiting the structure of the function can substantially reduce the data rate for transmission. We provide efficient joint source-channel codes for transmitting a general class of functions of the sources over the MAC.

Selected mapping (SLM) schemes are commonly employed to reduce the peak-to-average power ratio (PAPR) in orthogonal frequency division multiplexing (OFDM) systems. It has been shown that the computational complexity of the traditional SLM scheme can be substantially reduced by adopting conversion vectors obtained by using the inverse fast Fourier transform (IFFT) of the phase rotation vectors in place of the conventional IFFT operations. To ensure that the elements of these phase rotation vectors have an equal magnitude, conversion vectors should have the form of a perfect sequence. This study firstly presents three novel classes of perfect sequence, each of which comprises certain base vectors and their cyclically shifted versions. Three novel low-complexity SLM schemes are then proposed based upon the unique structures of these perfect sequences. It is shown that while the PAPR reduction performances of the proposed schemes are marginally poorer than that of the traditional SLM scheme, the three schemes achieve a substantially lower computational complexity. Since the three proposed PAPR reduction schemes cannot be utilized in the orthogonal frequency division multiple access (OFDMA) system. A low-complexity scheme for PAPR reduction in OFDMA uplink systems using either an interleaved or a sub-band sub-carrier assignment strategy is also proposed in the second part of this study. The proposed scheme requires just one IFFT operation. The PAPR reduction performance of the proposed scheme is only marginally poorer than that of the traditional SLM scheme. However, the proposed schemes have significantly lower computational complexities. Besides, multiple-input multiple-output (MIMO) OFDM systems with space-frequency block coding (SFBC) are well-known for their robust performance in time selective fading channels. However, SFBC MIMO-OFDM systems have a high computational complexity since the number of IFFTs required scales in direct proportion to the number of antennas at the transmitter. Furthermore, SFBC MIMO-OFDM systems have a high PAPR. Accordingly, a low-complexity PAPR reduction scheme for SFBC MIMO OFDM systems with the Alamouti encoding scheme is proposed in this study. Extending this scheme obtains two low-complexity transmitter architectures for SFBC MIMO-OFDM systems with a general encoding matrix and an arbitrary number of transmitter antennas. The proposed schemes achieve a significant reduction in computational complexity by fully exploiting the time-domain signal properties of the transmitted signal. In addition, a PAPR reduction scheme is presented based on the proposed transmitter schemes. It is shown that the PAPR reduction performance of the proposed scheme is almost as good as that of the traditional SLM scheme, but is achieved with a substantially lower computational complexity.

The purpose of this research is to present a low-power wireless communication receiver with an enhanced performance by relieving the system complexity and performance degradation imposed by a quantization process. With an overwhelming demand for more reliable communication systems, the complexity required for modern communication systems has been increased accordingly. A byproduct of this increase in complexity is a commensurate increase in power consumption of the systems. Since the Shannon's era, the main stream of the methodologies for promising the high reliability of communication systems has been based on the principle that the information signals flowing through the system are represented in digits. Consequently, the system itself has been heavily driven to be implemented with digital circuits, which is generally beneficial over analog implementations when digitally stored information is locally accessible, such as in memory systems. However, in communication systems, a receiver does not have a direct access to the originally transmitted information. Since the received signals from a noisy channel are already continuous values with continuous probability distributions, we suggest a mixed-signal system in which the received continuous signals are directly fed into the analog demodulator and the subsequent soft-decision Viterbi decoder without any quantization involved. In this way, we claim that redundant system complexity caused by the quantization process is eliminated, thus gives better power efficiency in wireless communication systems, especially for battery-powered mobile devices. This is also beneficial from a performance perspective, as it takes full advantage of the soft information flowing through the system.

It is well known that communication systems employing multiple transmit and multiple receive antennas provide high data rates along with increased reliability. It has been shown that coding across both spatial and temporal domains together, called Space-Time Coding (STC), achieves, a diversity order equal to the product of the number of transmit and receive antennas. Space-Time Block Codes (STBC) achieving the maximum diversity is called full-diversity STBCs. An STBC is called information-lossless, if the structure of it is such that the maximum mutual information of the resulting equivalent channel is equal to the capacity of the channel. This thesis deals with high-rate and information-lossless STBCs obtained from certain matrix algebras called Crossed-Product Algebras. First we give constructions of high-rate STBCs using both commutative and non-commutative matrix algebras obtained from appropriate representations of extensions of the field of rational numbers. In the case of commutative algebras, we restrict ourselves to fields and call the STBCs obtained from them as STBCs from field extensions. In the case of non-commutative algebras, we consider only the class of crossed-product algebras. For the case of field extensions, we first construct high-rate; full-diversity STBCs for arbitrary number of transmit antennas, over arbitrary apriori specified signal sets. Then we obtain a closed form expression for the coding gain of these STBCs and give a tight lower bound on the coding gain of some of these STBCs. This lower bound in certain cases indicates that some of the STBCs from field extensions are optimal m the sense of coding gain. We then show that the STBCs from field extensions are information-lossy. However, we also show that the finite-signal-set capacity of the STBCs from field extensions can be improved by increasing the symbol rate of the STBCs. The simulation results presented show that our high-rate STBCs perform better than the rate-1 STBCs in terms of the bit error rate performance. Then we proceed to present a construction of high-rate STBCs from crossed-product algebras. After giving a sufficient condition on the crossed-product algebras under which the resulting STBCs are information-lossless, we identify few classes of crossed-product algebras that satisfy this sufficient condition and also some classes of crossed-product algebras which are division algebras which lead to full-diversity STBCs. We present simulation results to show that the STBCs from crossed-product algebras perform better than the well-known codes m terms of the bit error rate. Finally, we introduce the notion of asymptotic-information-lossless (AILL) designs and give a necessary and sufficient condition under which a linear design is an AILL design. Analogous to the condition that a design has to be a full-rank design to achieve the point corresponding to the maximum diversity of the optimal diversity-multiplexing tradeoff, we show that a design has to be AILL to achieve the point corresponding to the maximum multiplexing gain of the optimal diversity-multiplexing tradeoff. Using the notion of AILL designs, we give a lower bound on the diversity-multiplexing tradeoff achieved by the STBCs from both field extensions and division algebras. The lower bound for STBCs obtained from division algebras indicates that they achieve the two extreme points, 1 e, zero multiplexing gain and zero diversity gain, of the optimal diversity-multiplexing tradeoff. Also, we show by simulation results that STBCs from division algebras achieves all the points on the optimal diversity-multiplexing tradeoff for n transmit and n receive antennas, where n = 2, 3, 4.

Along with the rapidly increasing demand for wireless data while more and more crowded radio frequency (RF) spectrum, optical wireless communications (OWC) become a promising candidate to complement conventional RF communications, especially for indoor short and medium range data transmissions. Orthogonal frequency division multiplexing (OFDM) is considered for OWC due to its ability to boost data rates. However, the average emitted optical power and dynamic range of driving signals of LEDs are two major constraints in OWC. OFDM waveforms exhibits high upper and lower peak-to-average power ratios (PAPRs), which make OFDM signals optical power inefficient and easy to violate the dynamic range of LEDs, resulting clipping and nonlinear distortions. In this dissertation, we analyze and design optical power and dynamic range constrained OWC systems, for which OFDM is our major subject. We first derive distributions of upper PAPR and lower PAPR of OWC-OFDM signals. Then we analyze the clipped OFDM signals in term of error vector magnitude (EVM), signal-to-distortion ratio (SDR), and achievable data rates under both optical power and dynamic range constraints. The next part of this dissertation is the OFDM system design for visible light communications (VLC) considering illumination requirement. We investigate the illumination-to-communication efficiency (ICE) in VLC-OFDM, and design the brightness control and flickering mitigation schemes for VLC-OFDM. In the end, to reduce the complexity of driving circuits of LEDs , we propose using delta-sigma modulators in VLC-OFDM systems to convert continuous magnitude OFDM symbols into two-level LED driver signals without loss of the communication theory advantages of OFDM.

This work concentrates on the application of diversity techniques and space time block coding for future high speed mobile wireless communications on multicarrier systems. At first, alternative multicarrier kernels robust for high speed doubly-selective fading channel are sought. They include the comparisons of discrete Fourier transform (DFT), fractional Fourier transform (FrFT) and wavelet transform (WT) multicarrier kernels. Different wavelet types, including the raised-cosine spectrum wavelets are implemented, evaluated and compared. From different wavelet families, orthogonal wavelets are isolated from detailed evaluations and comparisons as suitable for multicarrier applications. The three transforms are compared over a doubly-selective channel with the WT significantly outperforming all for high speed conditions up to 300 km/hr. Then, a new wavelet is constructed from an ideal filter approximation using established wavelet design algorithms to match any signal of interest; in this case under bandlimited criteria. The new wavelet showed better performance than other traditional orthogonal wavelets. To achieve MIMO communication, orthogonal space-time block coding, OSTBC, is evaluated next. First, the OSTBC is extended to assess the performance of the scheme over extended receiver diversity order. Again, with the extended diversity conditions, the OSTBC is implemented for a multicarrier system over a doubly-selective fading channel. The MIMO-OFDM systems (implemented using DFT and WT kernels) are evaluated for different operating frequencies, typical of LTE standard, with Doppler effects. It was found that, during high mobile speed, it is better to transmit OFDM signals using lower operating frequencies. The information theory for the 2-transmit antenna OSTBC does not support higher order implementation of multi-antenna systems, which is required for the future generation wireless communications systems. Instead of the OSTBC, the QO-STBC is usually deployed to support the design of higher order multi-antenna systems other than the 2-transmit antenna scheme. The performances of traditional QO-STBC methods are diminished by some off-diagonal (interference) terms such that the resulting system does not attain full diversity. Some methods for eliminating the interference terms have earlier been discussed. This work follows the construction of cyclic matrices with Hadamard matrix to derive QO-STBC codes construction which are N-times better than interference free QO-STBC, where N is the number of transmit antenna branches.

L’approximation tensorielle de rang faible joue ces dernières années un rôle importantdans plusieurs applications, telles que la séparation aveugle de source, les télécommunications, letraitement d’antennes, les neurosciences, la chimiométrie, et l’exploration de données. La décompositiontensorielle Canonique Polyadique est très attractive comparativement à des outils matriciels classiques,notamment pour l’identification de systèmes. Dans cette thèse, nous proposons (i) plusieursalgorithmes pour calculer quelques approximations de rang faible spécifique: approximation de rang-1 itérative et en un nombre fini d’opérations, l’approximation par déflation itérative, et la décompositiontensorielle orthogonale; (ii) une nouvelle stratégie pour résoudre des systèmes quadratiquesmultivariés, où ce problème peut être réduit à la meilleure approximation de rang-1 d’un tenseur; (iii)des résultats théoriques pour étudier les performances ou prouver la convergence de quelques algorithmes.Toutes les performances sont illustrées par des simulations informatiques. / Low rank tensor decomposition has been playing for the last years an important rolein many applications such as blind source separation, telecommunications, sensor array processing,neuroscience, chemometrics, and data mining. The Canonical Polyadic tensor decomposition is veryattractive when compared to standard matrix-based tools, manly on system identification. In this thesis,we propose: (i) several algorithms to compute specific low rank-approximations: finite/iterativerank-1 approximations, iterative deflation approximations, and orthogonal tensor decompositions. (ii)A new strategy to solve multivariate quadratic systems, where this problem is reduced to a best rank-1 tensor approximation problem. (iii) Theoretical results to study and proof the performance or theconvergence of some algorithms. All performances are supported by numerical experiments. / A aproximação tensorial de baixo posto desempenha nestes últimos anos um papel importanteem várias aplicações, tais como separação cega de fontes, telecomunicações, processamentode antenas, neurociênca, quimiometria e exploração de dados. A decomposição tensorial canônicaé bastante atrativa se comparada às técnicas matriciais clássicas, principalmente na identificação desistemas. Nesta tese, propõe-se (i) vários algoritmos para calcular alguns tipos de aproximação deposto: aproximação de posto-1 iterativa e em um número finito de operações, a aproximação pordeflação iterativa, e a decomposição tensorial ortogonal; (ii) uma nova estratégia para resolver sistemasquadráticos em várias variáveis, em que tal problema pode ser reduzido à melhor aproximaçãode posto-1 de um tensor; (iii) resultados teóricos visando estudar o desempenho ou demonstrar aconvergência de alguns algoritmos. Todas os desempenhos são ilustrados através de simulações computacionais.

Neste trabalho a técnica de multiportadoras OFDM (Orthogonal Frequency Division Multiplexing), aplicada a sistemas ópticos, é estudada, com foco principal na geração e transmissão dos chamados supercanais ópticos modulados em altíssimas taxas (até Terabits/s). O OFDM prevê um melhor aproveitamento da largura de banda e, quando comparada à técnica FDM (Frequency Division Multiplexing), permite uma redução de aproximadamente 50% do espectro ocupado. Esta economia proporcionada pela técnica torna-a forte candidata para uso em redes ópticas reconfiguráveis, pois provê melhor eficiência espectral aos sinais com reconfiguração de tráfego remoto. Dois cenários serão abordados: o primeiro, em que o sinal com multiportadoras moduladas de forma híbrida (QAM - quadradure amplitude modulation) é gerado no domínio elétrico para, em seguida, modular uma portadora óptica; e o segundo, no qual as multiportadoras são geradas no domínio óptico e, posteriormente, moduladas individualmente também no domínio óptico - e neste caso o formato de modulação pode variar. Para o segundo caso, três técnicas de geração de supercanais serão estudadas e avaliadas a fim de se realizar uma comparação entre elas. Neste trabalho também serão comparadas as técnicas de recepção óptica direta e coerente, aplicadas a sistemas OFDM. Os resultados para o estudo da geração de multiportadoras ópticas, obtidos através de simulações no software Optisystem v. 9.0, são validados por resultados experimentais obtidos no Laboratório de Comunicações Ópticas da Fundação CPqD. / This manuscript presents a study on the multicarrier modulation technique OFDM (Orthogonal frequency division multiplexing) applied to optical systems. The OFDM technique provides a better use of bandwidth and, compared with FDM (Frequency Division Multiplexing), provides a nearly 50% reduction of the occupied bandwidth. This feature makes the OFDM technique an ideal candidate for reconfigurable optical networks because it allows better spectral efficiency to the signals with remote traffic reconfiguration. The study focuses, mainly, on the theoretical investigation of OFDM applied to the transmission of the so-called optical superchannels, modulated at very high bit rates (above Terabits/s). Two scenarios are discussed: in the first, the multicarrier signal, modulated in a hybrid format (QAM - quadrature amplitude modulation), is generated in the electrical domain before modulating the optical carrier, and in the second the multicarrier beam is generated in the optical domain and subsequently each subcarrier is digitally modulated. In this second approach, three superchannel generation techniques are studied and evaluated for being compared. This work will also compare the direct and coherent detection techniques applied to OFDM systems. The results for the optical multicarrier generation study, obtained by numerical simulation (platform Optisystem v. 9.0), are validated by experimental results obtained at the Laboratory of Optical Communication CPqD Foundation.