Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / In this master s thesis, a wireless communication scheme with a single transmit and single receive antenna, SISO case, with use of the OFDM multicarrier technique and application of LDPC coding was considered. It is well known that one of the biggest challenge related to OFDM system refers to the reduction of the peak-to-average power ratio (PAPR) factor. Thus this master s thesis proposes the use of 16-APSK and 16-QAM modulations by aiming to mitigate the PAPR factor. It is also considered the use of LDPC codes to evaluate the performance of bit error rate (BER) versus signal-to-noise ratio (SNR) performance for the 16-QAM, A16- QAM and 16-APSK constellations. The LDPC codes were adopted since they are one of the most effective methods of channel coding presented in the literature. Monte Carlo simulations were performed in AWGN and Rayleigh fading channels in order to evaluate the system performance in terms of BER × SNR and the PAPR factor analysis from the perspective of CCDF curves. Results reveal that with the use of LDPC codes associated with the use of 16-APSK constellations in multicarrier systems promotes BER performance gain and also reduction of the PAPR factor. / Nesta dissertação foi considerado um esquema de comunicação sem fio, com uma antena transmissora e uma antena receptora, caso SISO, com uso da técnica multiportadora OFDM e aplicação de codificação LDPC. Sabe-se que um dos maiores desafios na utilização do sistema OFDM refere-se à redução do fator razão de potência de pico e potência média (PAPR). Assim, nesta dissertação de mestrado propõe-se o emprego de modulações 16-APSK e A16-QAM com intuito de mitigar esse fator. Considera-se também o emprego de códigos LDPC para melhorar o desempenho de taxa de erro de bit (BER) versus razão sinal-ruído (SNR) para as constelações 16-QAM, A16-QAM e 16-APSK. Os códigos LDPC foram adotados por serem um dos mais eficazes métodos de codificação de canal apresentados na literatura. Foram realizadas simulações do tipo Monte Carlo em canais AWGN e com desvanecimento do tipo Rayleigh para se avaliar o desempenho do sistema em termos de curvas de BER × SNR e o fator PAPR sob a perspectiva de curvas de CCDF. Os resultados revelam que o emprego de códigos LDPC associados ao uso de constelacões 16-APSK em sistemas multiportadora promovem ganhos na taxa de erros e redução no fator PAPR.

Les techniques multiporteuses de type OFDM sont aujourd'hui largement déployées dans tous les systèmes de communication sans fils notamment dans les réseaux cellulaires (L TE), les réseaux de diffusion (DVB) ou encore les réseaux WiFi. Cependant, les modulations multiporteuses se caractérisent par une très grande dynamique mesurée par le Peak to Average Power Ratio (PAPR), ce qui empêche d'alimenter l'amplificateur de puissance non linéaire (utilisé avant l'émission des signaux) à son point optimal et ainsi conduit à diminuer son efficacité énergétique. Des techniques de réduction du PAPR peuvent alors être mises en oeuvre pour réduire le PAPR du signal et des techniques de prédistorsion peuvent alors être utilisées pour compenser les non-linéarités de l'amplificateur de puissance. L'approche développée dans le cadre de cette thèse a pour objectif d'étudier une solution intelligente pour les implémentations futures pour contrôler la réduction du PAPR et les étapes de linéa risation de manière flexible en fonction de certains paramètres prédéfinis afin qu'ils deviennent adaptatifs et auto-configurables. Plus précisément, notre travail a principalement porté sur l'analyse des différentes distorsions dans la bande (in-band distortions)mesurées par I'EVM ou Error Vector Magnitude et en dehors de la bande de transmission (out-of-band distortions) mesurées par I'ACPR ou Adjacent Channel Power Ratio de signaux à porteuses multiples. En particulier de nombreux résultats analytiques complétés par des résultats de simulation permettant d'évaluer I'EVM et I'ACPR en fonction des caractéristiques de l'amplification nonlinéaire en prenant en compte ou pas l'effet mémoire de l'amplificateur et la mise en oeuvre de techniques d'écrêtage et de pré-distorsion ont été obtenus. Ces résultats constituent une étape importante dans l'optimisation globale de la complexité, de la linéarité et de l'efficacité énergétique des émetteurs aussi bien pour la diffusion de la télévision numérique que pour les réseaux cellulaires de 4 ème génération (L TE) ou de 5""' génération. / OFDM multicarrier techniques are now widely deployed in most wireless communication systems, in particular in cellularnetworks (L TE), broadcast networks (DVB) and WiFi networks. However, multi-carrier modulations are characterized by avery large dynamic amplitude measured by the Peak to Average Power Ratio (PAPR). which prevents radio frequencydesigners to feed the signal at the optimal point of the Power Amplifier (PA) which reduces the PA energy efficiency. Inliterature, the PAPR reduction and linearization techniques are the main approaches to solve the PAPR problem, the PAnonlinearities problem. as well as the low PA efficiency problem.The approach developed in this thesis was to study an intelligent solution for future implementations to control thereduction of PAPR and the linearization steps in a flexible way according to some predefined parameters so that theybecome adaptive and self-configurable. More specifically, our work focused on the analytical analysis of in-band measureby the Error Vector Magnitude (EVM) and out-of-band distortions measured by the Adjacent Chanel Power Ratio (ACPR)for clipped multicarrier signals taking into account the impact of non-linear amplification, memory effects and predistortion.In particular. many analytical results complemented by simulation results to evaluate the EVM and ACPR are proposed.These analytical expressions depend on the PA characteristics taking into account or not the PA memory effects and theuse of clipping and pre-distortion techniques. lt is worthwhile to note that our proposed theoretical analyses could be veryuseful for optimizing future transmitter efficiency and linearity in the field of broadcasting applications for the deployment oDVB-T2 transmitters as well as for L TE cellular networks.

Avec le besoin croissant en bande-passante, les technologies dites de radio-cognitive sont de plus en plus étudiées par la communauté scientifique. L’enjeu est d’utiliser au mieux le spectre disponible. L'une de ces technologies, Transform Domain Communication System (TDCS), dont les performances en termes d’efficacité énergétique et spectrale étaient jusqu'à présent méconnues, constitue le sujet d'étude de cette thèse. Après une présentation du contexte scientifique et industriel de la thèse, le système TDCS est introduit, ainsi que ses similarités et différences avec OFDM et MC-CDMA. Le système est ensuite décrit sous le formalisme algébrique des modulations linaires. Cela a permis d’établir une expression de l’efficacité spectrale du système. Plusieurs techniques sont alors proposées pour améliorer celle-ci tout en améliorant, dans certains cas, le taux d’erreur binaire. Étant composé d’un de plusieurs composantes sinusoïdales, le signal TDCS souffre d’un fort Peak-to-Average Power Ratio (PAPR). La théorie ensembliste est alors présentée puis mise à profit en troisième partie de cette thèse pour proposer les algorithmes Douglas-Rachford et ROCS de réduction du PAPR des signaux TDCS. Ces algorithmes convergent plus rapidement et vers des valeurs plus basses que l’algorithme POCS précédemment utilisé dans la littérature / For about ten years, spectrum scarcity and the growing need of bandwidth have pushed the studies on cognitive-radio technologies to counter this waste. Among them: the Transform Domain Communication System (TDCS), on which this thesis focuses. Until now, TDCS’ performance in terms of spectral and power efficiency was largely unknown. After introducing the thesis’ industrial and scientific context, the TDCS is introduced and compared with popular technologies such as OFDM and MC-CDMA. The system is then studied by means of the linear modulations’ algebraic framework. This has led to the TDCS’ spectral efficiency determination and to new design rules to jointly achieve a better spectral efficiency and a lower BER. Several methods are then proposed to further increase the spectral efficiency by means of a dense multidimensional modulation. Since a TDCS signal is made of several sines, it suffers from a strong Peak-to-Average Power Ratio (PAPR). Set theoretic estimation is then introduced in a third part and new PAPR-reduction algorithms such as Douglas-Rachford and Reflection Onto Convex Sets are brought to light and achieve better performance than the usual POCS algorithm regarding to the convergence rate, as well as the achieved PAPR

The focus of this thesis is peak-to-average power ratio (PAPR) reduction in cooperative wireless networks which exploit orthogonal frequency division multiplexing in transmission. To reduce the PAPR clipping is employed at the source node. The first contribution focuses upon an amplify-and-forward (AF) type network with four relay nodes which exploits distributed closed loop extended orthogonal space frequency block coding to improve end-to-end performance. Oversampling and filtering are used at the source node to reduce out-of-band interference and the iterative amplitude reconstruction decoding technique is used at the destination node to mitigate in-band distortion which is introduced by the clipping process. In addition, by exploiting quantized group feedback and phase rotation at two of the relay nodes, the system achieves full cooperative diversity in addition to array gain. The second contribution area is outage probability analysis in the context of multi-relay selection in a cooperative AF network with frequency selective fading channels. The gains of time domain multi-path fading channels with L paths are modeled with an Erlang distribution. General closed form expressions for the lower and upper bounds of outage probability are derived for arbitrary channel length L as a function of end-to-end signal to noise ratio. This analysis is then extended for the case when single relay selection from an arbitrary number of relay nodes M is performed. The spatial and temporal cooperative diversity gain is then analysed. In addition, exact form of outage probability for multi-path channel length L = 2 and selecting the best single relay from an arbitrary number of relay nodes M is obtained. Moreover, selecting a pair of relays when L = 2 or 3 is additionally analysed. Finally, the third contribution context is outage probability analysis of a cooperative AF network with single and two relay pair selection from M available relay nodes together with clipping at the source node, which is explicitly modelled. MATLAB and Maple software based simulations are employed throughout the thesis to support the analytical results and assess the performance of algorithms and methods.

L’OFDM est une technique de modulation multiporteuses largement utilisée dans des applications de communications filaires et sans-fils comme le DVB-T/T2, le Wifi, et la 4G, grâce à sa robustesse contre les canaux sélectifs en fréquence en comparaison avec la modulation monoporteuse. Cependant, le signal OFDM souffre de grandes variations d’amplitude. Les fluctuations de l’enveloppe du signal OFDM génèrent des distorsions non-linéaires quand on introduit le signal dans un équipement non-linéaire comme l’amplificateur de puissance. Réduire les variations du signal améliore le rendement de l’amplificateur, réduit la consommation énergétique et diminue les émissions de CO2 des transmissions numériques.Le PAPR (rapport de la puissance crête sur la puissance moyenne) est une variable aléatoire qui a été introduite pour mesurer les variations du signal. Il existe plusieurs systèmes multiporteuses basés sur différentes bases de modulation et filtres de mise en forme. Nous prouvons d’abord dans ces travaux que le PAPR dépend de cette structure de modulation. Ensuite, nous étudions le comportement du PAPR vis-à-vis des formes d’ondes utilisées dans la modulation. Le problème de réduction du PAPR est ainsi formulé en un problème d’optimisation. Par ailleurs, une condition nécessaire pour construire des formes d’ondes avec un meilleur PAPR que l’OFDM est développée. Cette condition est notamment satisfaite par des bases en ondelettes. Enfin, une nouvelle forme d’onde en paquets d’ondelettes adaptative est proposée, permettant des gains significatifs en PAPR, tout en maintenant les avantages des modulations multiporteuses. / OFDM is a multicarrier modulation system widely used in wireline and wireless applications such as DVB-T/T2, Wifi, and 4G, due to its resilience against frequency selective channels compared with the single carrier modulation systems. However, the OFDM signal suffers from large amplitude variations. The fluctuations of the OFDM envelope generate non-linear distortions when we introduce the signal into a non-linear device like the power amplifier. Reducing the variations of the signal improves the power amplifier efficiency, reduces the energy consumption and decreases CO2 emissions.The peak-to-average power ratio (PAPR) has been introduced as a random variable that measures the power variations of the signal. There exist several multicarrier modulation systems based on different modulation basis and shaping filters. We first prove in this work that the PAPR depends on this modulation structure. Moreover, the behaviour of the PAPR regarding to the modulation waveforms is analysed and the PAPR reduction problem is formulated as an optimization problem. Furthermore, a necessary condition for designing waveforms with better PAPR than OFDM is developed. This necessary condition is particularly satisfied by wavelet basis. Finally, a new adaptive wavelet packet waveform is proposed, allowing significant gain in terms of PAPR, while keeping the advantages of multicarrier modulations.

<p>Detta examensarbetet undersöker möjligheten att eliminera de amplitudtoppar som uppstår då flera sinussignaler av slumpmässiga frekvenser adderas. Det som eftersträvas är en signal innehållande flera godtyckliga frekvenser samtidigt som den bibehåller en låg Crestfaktor (eller PAPR). De metoder som tas fram implementeras sedan i en FPGA. Rapporten behandlar de metoder som undersökts både i teoretiska utvärderingar samt i en hårdvaruimplementation. Resultaten visar på att det inte finns någon enkel lösning på problemet, men att en kombination av metoder kan användas för att få en förbättring av signalens Crestfaktor. Metoderna bör balanseras utefter hur mycket av de icke önskvärda amplitudtopparna som ska elimineras, hur snabbt systemet måste vara, hur mycket resurser och hårdvara som finns tillgänglig, samt hur mycket brus som tolereras. De metoder som undersökts grundligast och även implementerats i hårdvara är initial fasfördelning, tid- och frekvensdomänbytesmetod och klippning, vilka tillsammans bildar ett system som genererar en önskvärd signal med låg Crestfaktor.</p><p> </p> / <p>This thesis investigates the possibility of eliminating the amplitude peaks that arise when several sinusoidal signals of random frequencies are added. The aim is a signal containing several arbitrary frequencies while retaining a low Crest factor (or PAPR). The methods to be developed are then implemented in an FPGA. The report deals with the methods which were examined, both in theoretical evaluations and in a hardware implementation. The results show that there is no easy solution, but that a combination of methods can be used to obtain an improvement of the signal’s Crest factor. These methods should be balanced with respect to how much of the undesirable amplitude is to be eliminated, how fast the system must be, what kind of resources and hardware that is available, and how much noise that can be tolerated. The methods investigated and implemented in hardware are initial phase distribution, time-frequency domain swapping algorithm and clipping, which together form a system that generates a desirable signal with low Crest factor.</p>

Detta examensarbetet undersöker möjligheten att eliminera de amplitudtoppar som uppstår då flera sinussignaler av slumpmässiga frekvenser adderas. Det som eftersträvas är en signal innehållande flera godtyckliga frekvenser samtidigt som den bibehåller en låg Crestfaktor (eller PAPR). De metoder som tas fram implementeras sedan i en FPGA. Rapporten behandlar de metoder som undersökts både i teoretiska utvärderingar samt i en hårdvaruimplementation. Resultaten visar på att det inte finns någon enkel lösning på problemet, men att en kombination av metoder kan användas för att få en förbättring av signalens Crestfaktor. Metoderna bör balanseras utefter hur mycket av de icke önskvärda amplitudtopparna som ska elimineras, hur snabbt systemet måste vara, hur mycket resurser och hårdvara som finns tillgänglig, samt hur mycket brus som tolereras. De metoder som undersökts grundligast och även implementerats i hårdvara är initial fasfördelning, tid- och frekvensdomänbytesmetod och klippning, vilka tillsammans bildar ett system som genererar en önskvärd signal med låg Crestfaktor. / This thesis investigates the possibility of eliminating the amplitude peaks that arise when several sinusoidal signals of random frequencies are added. The aim is a signal containing several arbitrary frequencies while retaining a low Crest factor (or PAPR). The methods to be developed are then implemented in an FPGA. The report deals with the methods which were examined, both in theoretical evaluations and in a hardware implementation. The results show that there is no easy solution, but that a combination of methods can be used to obtain an improvement of the signal’s Crest factor. These methods should be balanced with respect to how much of the undesirable amplitude is to be eliminated, how fast the system must be, what kind of resources and hardware that is available, and how much noise that can be tolerated. The methods investigated and implemented in hardware are initial phase distribution, time-frequency domain swapping algorithm and clipping, which together form a system that generates a desirable signal with low Crest factor.

High peak to average power ratio (PAPR) is one of the major drawbacks in orthogonal frequency division multiplexing (OFDM) systems. In recently years, various methods have been proposed to reduce the PAPR performance. The selected mapping (SLM) scheme is perhaps the most popular one because it provides outstanding PAPR reduction performance. In addition, the subcarrier magnitude remains the same in the SLM scheme. However, there are two major shortcomings in the SLM scheme. First of all, it requires a number of inverse fast Fourier transforms (IFFTs) to produce candidate signals, dramatically increasing the computational complexity. In addition, side information has to be transmitted to the receiver to indicate the candidate signal that results in the best PAPR, leading to the decrease in bandwidth utilization. To overcome these two drawbacks, this thesis proposes a novel SLM scheme that does not need side information. The proposed scheme is based on a low complexity SLM scheme [C.-P. Li, S.-H. Wang, and C.-L. Wang, ¡§Novel low-complexity SLM schemes for PAPR reduction in OFDM systems,¡¨ IEEE Trans. Signal Process., vol. 58, no. 5, pp. 2916¡V2921, May 2010] in pilot-aided OFDM system. Simulation experiments are conducted to verify the performance of the proposed scheme. It is shown that the bit error rate (BER) performance of the proposed scheme is very similar to that of the traditional SLM scheme with perfect knowledge of the side information. Therefore, the proposed scheme not only has the advantages of low complexity and high bandwidth utilization, but also has a superior BER performance.

In recent years, the development of OFDM system has received a lot of attention. Some examples of existing systems where OFDM system is used are digital audio broadcasting, high-definition television terrestrial broadcasting, asymmetric digital subcarrier lines and so on. There are several reasons for using OFDM systems. First, OFDM system is an efficient way to deal with multipath effect. Under a fixed amount of delay spread, the implementation complexity of OFDM system is much less than that of single-carrier system. The reason is that OFDM system can simply use guard time to process delay spread without a complex equalizer. Second, OFDM system can achieve high data rate to transmit by using large number of subcarriers. Third, OFDM system can also efficiently combat with narrow band interference. On the other hand, OFDM system also has two main drawbacks. One is more sensitive to frequency offset, the other is higher PAPR. This thesis focuses on the PAPR problem. Pulse shaping method is an effective way to solve this problem. It can be used for any number of subcarriers of OFDM systems, so it is very flexible. It doesn¡¦t have any additional IFFTs in comparison to the selected mapping or partial transmit sequence method. Its implementation is simpler. And because it also doesn¡¦t distort the OFDM symbols, its bit error performance should be better than the clipping method. According to the pulse shaping method, we get a better waveform that can make the PAPR of OFDM symbols do not exceed about 2.

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 vector in place of the conventional IFFT operations [21]. Unfortunately, however, the elements of these phase rotation vectors of the conversion vectors in [21] do not generally have an equal magnitude, and thus a significant degradation in the bit error rate (BER) performance is incurred. This problem can be remedied by utilizing conversion vectors having the form of a perfect sequence. This paper presents three novel classes of perfect sequence, each of which comprises certain base vectors and their cyclic-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 performances of the proposed schemes are marginally poorer than that of the traditional SLM scheme, the three schemes achieve an identical BER performance and have a substantially lower computational complexity.