With frequency selective fading, the SNRs of each sub-carrier would vary over the time and frequency. It would then cause fluctuations of the effective SNR. As the decision of MeS in LA is based on the effective SNR, the study of the statistical characterization of effective SNR over frequency selective fading channels would be very important, This problem forms the basis of investigation in this thesis. The methodology used in this thesis is generally divided into two parts. The first part is to investigate the method in obtaining the distribution of EESM over frequency selective fading channels. Such approach will be very helpful for the second part of the work which is to obtain the exact distribution of the EESM effective SNR for a specified fading model. In this case, Nakagami-m fading model is used. The choice of this model is based due to its simplicity and experimental consistency. One of the important features of the distribution is that the SNR of a signal under Nakagami fading is gamma distributed. Thus, in performance evaluation involving Nakagami fading, one can often rely on established results (in the statistics literature) of the gamma distribution. An important special case of the Nakagami distribution is the Rayleigh distribution, which arises in the situation of where the line-of-sight (LOS) component between the transmitter and the receiver is absent, i.e., when all of the received power stems from scattered components. The corresponding distribution for the SNR is the exponential distribution. The research in this thesis represents an effort to provide a statistical characterization of EESM effective SNR which has not appeared in any existing literatures. The goals of this thesis is to Characterize the statistics of EESM effective SNR over frequency selective channels. Obtain the distribution of EESM effective SNR over correlated Nakagami-m fading channels. Theoretically analyze the performance (Le. average SNR, outage probability and Symbol Error Rate (SER) etc.) of EESM over correlated Nakagami-m fading channels. Provide simple approximations to the proposed analytical results. Try to find extension and application of the results.

The initial design of an OFDM transceiver is described and the simulations using MATLAB’s Simulink Software and other FGPA based tools are presented. All components of a modern OFDM system were implemented in Simulink to provide an understanding of the various components of an OFDM system, provide a proof of concept in the design, and measure the theoretical performance of the system. In an effort to build the transceiver, the FFT and randomizer components were implemented in verilog and were successfully simulated using ModelSim Altera Starter Edition 6.5b. A commercially available OFDM core, which did not include forward error correction, was simulated to measure the performance of an OFDM system within Altera Stratix III devices and determine the overall logic utilization for OFDM modulation and demodulation. The goals of this report are to describe in detail the general effort made by the author to build an OFDM transceiver and serve as a driver for its eventual FPGA implementation. / text

Ανασκόπηση του κανόνα ολοκλήρωσης του gauss. Αναπαραστάσεις και εκτιμήσεις του υπολοίπου του. Τέλος περί της σύγκλισης του κανόνα ολοκλήρωσης. / A survey on gaussian quqdrature rules. Representation and estimates of its remainder. And about its convergence.

In the high-end research process of wireless systems and in the race for the development of the new technologies, MIMO (Multiple Input, Multiple Output) is getting more attention now days. It has a high potential usage in the 3G and 4G communications and beyond. The MIMO based system has got the ability to increase the data throughput in spectrum-limited conditions. With the increase and complexity of wireless applications, the spectrum efficiency improvement in the physical layer will be saturated. MIMO is predicted to be one of the major features for the next generation wireless networking. This thesis work is a part of an ongoing project of the Generic MIMO decoder design carried out at the research laboratory, LESTER at Lorient, France. I was involved in the study of MIMO concepts, orthogonal and Space-time codes and later involved in the design and optimization of the architecture for the core operator for the ML decoder used in the reception of the MIMO system,which is presented in this report work.

In single-input multiple-output (SIMO) systems based on orthogonal frequency division multiplexing (OFDM), adaptive beamforming at the receiver side can be used to combat the effect of directional co-channel interference (CCI). Since pilot-aided beamforming suffers from consuming precious channel bandwidth, there has been much interest in blind beamforming approaches that can adapt their weights by restoring certain properties of the transmitted signals. Within this class of blind algorithms, the recursive least squares constant modulus algorithm (RLS-CMA) is of particular interest due to its good overall CCI cancelation performance and fast convergence. Nevertheless, the direct use of RSL-CMA within a SIMO-OFDM receiver induces considerable computational complexity, since a distinct copy of the RLS-CMA must be run on each individual sub-carriers. In this thesis, we present two approaches to reduce the computational complexity of SIMO-OFDM beamforming based on the RLS-CMA, namely: frequency interpolation and distributed processing. The former approach, which exploits the coherence bandwidth of the broadband wireless channels, divides the sub-carriers into several contiguous groups and applies the RLS-CMA to a selected sub-carrier in each group. The weight vectors at other frequencies are then obtained by interpolation. The distributed processing approach relies on the partitioning of the receiving array into sub-arrays and the use of a special approximation in the RLS-CMA. This allows a partial decoupling of the algorithm which can then be run on multiple processors with reduced overall complexity. This approach is well-suited to collaborative beamforming i~ multi-node distributed relaying. Through numerical simulation experiments of a SIMO-OFDM system, it is demonstrated that the proposed modifications to the RLS-CMA scheme can lead to substantial computational savings with minimal losses in adaptive cancelation performance.

Collaborative beamforming is a powerful technique to increase communication energy efficiency and range in an energy-constrained network. To achieve high performance, collaborative beamforming requires accurate knowledge of channel state information (CSI) at the transmitters (collaborative nodes). In practice, however, such exact knowledge of CSI is not available. A robust transmitter design based on partial CSI is required to mitigate the effects of CSI mismatches. / This thesis focuses on the design and evaluation of a beamforming scheme that is robust to CSI mismatches for collaborative multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) wireless systems. Using a max-min robust design approach, the robust beamformer is designed to maximize the minimum (worst-case) received signal-to-noise ratio (SNR) within a predefined uncertainty region at each OFDM subcarrier. In addition, several subcarrier power allocation strategies are investigated to further improve the robustness of collaborative systems. Numerical simulation results show that the robust beamformer offers improved performance over the nonrobust beamformers and the use of power allocation strategies among subcarriers further improves the system performance.

The ever increasing demand for fast and efficient broadband wireless communication services requires future broadband communication systems to provide a high data rate, robust performance and low complexity within the limited available electromagnetic spectrum. One of the identified, most-promising techniques to support high performance and high data rate communication for future wireless broadband services is the deployment of multi-input multi-output (MIMO) antenna systems with orthogonal frequency division multiplexing (OFDM). The combination of MIMO and OFDM techniques guarantees a much more reliable and robust transmission over a hostile wireless channel through coding over the space, time and frequency domains. In this thesis, two full-rate space-time coded OFDM systems are proposed. The first one, designed for two transmit antennas, is called extended super-orthogonal space-time trellis coded OFDM (ESOSTTC-OFDM), and is based on constellation rotation. The second one, called super-quasi-orthogonal space-time trellis coded OFDM (SQOSTTCOFDM), combines a quasi-orthogonal space-time block code with a trellis code to provide a full-rate code for four transmit antennas. The designed space-time coded MIMO-OFDM systems achieve a high diversity order with high coding gain by exploiting the diversity advantage of frequency-selective fading channels. Concatenated codes have been shown to be an effective technique of achieving reliable communication close to the Shannon limit, provided that there is sufficient available diversity. In a bid to improve the performance of the super orthogonal space-time trellis code (SOSTTC) in frequency selective fading channels, five distinct concatenated codes are proposed for MIMO-OFDM over frequency-selective fading channels in the second part of this thesis. Four of the coding schemes are based on the concatenation of convolutional coding, interleaving, and space-time coding, along multiple-transmitter diversity systems, while the fifth coding scheme is based on the concatenation of two space-time codes and interleaving. The proposed concatenated Super-Orthogonal Space-Time Turbo-Coded OFDM System I. B. Oluwafemi 2012 vii coding schemes in MIMO-OFDM systems achieve high diversity gain by exploiting available diversity resources of frequency-selective fading channels and achieve a high coding gain through concatenations by employing the turbo principle. Using computer software simulations, the performance of the concatenated SOSTTC-OFDM schemes is compared with those of concatenated space-time trellis codes and those of conventional SOSTTC-OFDM schemes in frequency-selective fading channels. Simulation results show that the concatenated SOSTTC-OFDM system outperformed the concatenated space-time trellis codes and the conventional SOSTTC-OFDM system under the various channel scenarios in terms of both diversity order and coding gain. / Thesis (Ph.D.)-University of KwaZulu-Natal, Durban, 2012.

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The main contribution of this thesis is the statistical analysis of orthogonal frequency di- vision multiplexing (OFDM) systems operating over wireless channels that are both fre- quency selective and Rayleigh fading. We first describe the instantaneous capacity of such systems using a central limit theorem, as well as the asymptotic capacity of a power lim- ited OFDM system as the number of subcarriers approaches infinity. We then analyse the performance of uncoded OFDM systems by first developing bounds on the block error rate. Next we show that the distribution of the number of symbol errors within each block may be tightly approximated, and derive the distribution of an upper bound on the total variation distance. Finally, the central result of this thesis proposes the use of lattices for encodingOFDMsystems. For this, we detail a particular method of using lattices to encode OFDMsystems, and derive the optimalmaximumlikelihood decodingmetric. Generalised Minimum Distance (GMD) decoding is then introduced as a lower complexity method of decoding lattice encoded OFDM. We derive the optimal reliability metric for GMD decod- ing of OFDM systems operating over frequency selective channels, and develop analytical upper bounds on the error rate of lattice encoded OFDM systems employing GMD decod- ing.

This thesis presents the application of topology to machining at the micro and macro levels through an experimental study, modeling and analysis. Uncoated carbide tools of four different cutting edge radii and four different feed rates are used to perform orthogonal machining on AISI 1045 steel disks. The study analyzes the cutting forces, changing grain boundary parameters, micro-hardness, temperature and correlates them to the residual stresses that hold a key to the product life. This analysis helps to understand and evaluate the aspects of grain boundary engineering that influence the fatigue life of a component. The two components of residual stresses (axial and circumferential) are measured, and are correlated with the different cutting edge radii and feed conditions. A topology-based modeling approach is applied to study and understand various outputs in the machining process. The various micro and macro topological parameters that influence the machining process are studied to develop a model to establish the effects of topological parameters in machining using Maple program.