A Near-Optimal Linear Crosstalk Precoder for VDSL

Crosstalk is the major source of performance degradation in VDSL. In downstream transmission crosstalk precoding can be applied. The transmitted signal is predistorted, such that the predistortion annihilates with the crosstalk introduced in the binder. Several crosstalk precoders have been proposed. Unfortunately they either give poor performance or require non-linear operations, which results in a high complexity. In this paper we present a simple, linear diagonalizing crosstalk precoder with low run-time complexity. A lower bound on the performance of the DP is derived. This allows performance to be predicted without explicit knowledge of the crosstalk channels, which simplies service provisioning considerably. This bound shows that the DP operates close to the single-user bound. So the DP is a low complexity design with predictable, near-optimal performance. The combination of spectra optimization and crosstalk precoding is also considered. Spectra optimization in a broadcast channel generally involves a highly complex optimization problem. Since the DP decouples transmission on each line, the spectrum on each modem can be optimized through a dual decomposition, leading to a significant reduction in complexity

Two Identification Methods for Dual-Rate Sampled-Data Nonlinear Output-Error Systems

This paper presents two methods for dual-rate sampled-data nonlinear output-error systems. One method is the missing output estimation based stochastic gradient identification algorithm and the other method is the auxiliary model based stochastic gradient identification algorithm. Different from the polynomial transformation based identification methods, the two methods in this paper can estimate the unknown parameters directly. A numerical example is provided to confirm the effectiveness of the proposed methods

Identification of linear periodically time-varying (LPTV) systems

A linear periodically time-varying (LPTV) system is a linear time-varying system with the coefficients changing periodically, which is widely used in control, communications, signal processing, and even circuit modeling. This thesis concentrates on identification of LPTV systems. To this end, the representations of LPTV systems are thoroughly reviewed. Identification methods are developed accordingly. The usefulness of the proposed identification methods is verified by the simulation results. A periodic input signal is applied to a finite impulse response (FIR)-LPTV system and measure the noise-contaminated output. Using such periodic inputs, we show that we can formulate the problem of identification of LPTV systems in the frequency domain. With the help of the discrete Fourier transform (DFT), the identification method reduces to finding the least-squares (LS) solution of a set of linear equations. A sufficient condition for the identifiability of LPTV systems is given, which can be used to find appropriate inputs for the purpose of identification. In the frequency domain, we show that the input and the output can be related by using the discrete Fourier transform (DFT) and a least-squares method can be used to identify the alias components. A lower bound on the mean square error (MSE) of the estimated alias components is given for FIR-LPTV systems. The optimal training signal achieving this lower MSE bound is designed subsequently. The algorithm is extended to the identification of infinite impulse response (IIR)-LPTV systems as well. Simulation results show the accuracy of the estimation and the efficiency of the optimal training signal design

Networked Control System Design and Parameter Estimation

Networked control systems (NCSs) are a kind of distributed control systems in which the data between control components are exchanged via communication networks. Because of the attractive advantages of NCSs such as reduced system wiring, low weight, and ease of system diagnosis and maintenance, the research on NCSs has received much attention in recent years. The first part (Chapter 2 - Chapter 4) of the thesis is devoted to designing new controllers for NCSs by incorporating the network-induced delays. The thesis also conducts research on filtering of multirate systems and identification of Hammerstein systems in the second part (Chapter 5 - Chapter 6). Network-induced delays exist in both sensor-to-controller (S-C) and controller-to-actuator (C-A) links. A novel two-mode-dependent control scheme is proposed, in which the to-be-designed controller depends on both S-C and C-A delays. The resulting closed-loop system is a special jump linear system. Then, the conditions for stochastic stability are obtained in terms of a set of linear matrix inequalities (LMIs) with nonconvex constraints, which can be efficiently solved by a sequential LMI optimization algorithm. Further, the control synthesis problem for the NCSs is considered. The definitions of H₂ and H∞ norms for the special system are first proposed. Also, the plant uncertainties are considered in the design. Finally, the robust mixed H₂/H∞ control problem is solved under the framework of LMIs. To compensate for both S-C and C-A delays modeled by Markov chains, the generalized predictive control method is modified to choose certain predicted future control signal as the current control effort on the actuator node, whenever the control signal is delayed. Further, stability criteria in terms of LMIs are provided to check the system stability. The proposed method is also tested on an experimental hydraulic position control system. Multirate systems exist in many practical applications where different sampling rates co-exist in the same system. The l₂-l∞ filtering problem for multirate systems is considered in the thesis. By using the lifting technique, the system is first transformed to a linear time-invariant one, and then the filter design is formulated as an optimization problem which can be solved by using LMI techniques. Hammerstein model consists of a static nonlinear block followed in series by a linear dynamic system, which can find many applications in different areas. New switching sequences to handle the two-segment nonlinearities are proposed in this thesis. This leads to less parameters to be estimated and thus reduces the computational cost. Further, a stochastic gradient algorithm based on the idea of replacing the unmeasurable terms with their estimates is developed to identify the Hammerstein model with two-segment nonlinearities. Finally, several open problems are listed as the future research directions

Multi-User Signal and Spectra Coordination for Digital Subscriber Lines

The appetite amongst consumers for ever higher data-rates seems insatiable. This booming market presents a huge opportunity for telephone and cable operators. It also presents a challenge: the delivery of broadband services to millions of customers across sparsely populated areas. Fully fibre-based networks, whilst technically the most advanced solution, are prohibitively expensive to deploy. Digital subscriber lines (DSL) provide an alternative solution. Seen as a stepping-stone to a fully fibre-based network, DSL operates over telephone lines that are already in place, minimizing the cost of deployment. The basic principle behind DSL technology is to increase data-rate by widening the transmission bandwidth. Unfortunately, operating at high frequencies, in a medium originally designed for voice-band transmission, leads to crosstalk between the different DSLs. Crosstalk is typically 10-15 dB larger than the background noise and is the dominant source of performance degradation in DSL. This thesis develops practical multi-user techniques for mitigating crosstalk in DSL. The techniques proposed have low complexity, low latency, and are compatible with existing customer premises equipment (CPE). In addition to being practical, the techniques also yield near-optimal performance, operating close to the theoretical multi-user channel capacity. Multi-user techniques are based on the coordination of the different users in a network, and this can be done on either a spectral or signal level

Fiber-to-the-home (FTTH): estudo sobre aumento de banda passante nas redes de acesso com uso de redes ópticas passivas

The exponential increase in data traffic on the Internet imposes new challenges for telecommunications systems. However, there is a complex scenario to be studied by the developers of these technologies. There is need to combine the commitment to serve the interests of the operators, to increase its net revenue and the interests of customers, who increasingly seek to obtain a higher data transmission rate. In the face of this new reality, several solutions have been discussed in optical communications. Among them is the FTTH (Fiber To The Home), which has been credited as one of the main options to provide increased bandwidth in access networks, major bottleneck of current Internet. Thus, in the present work, a study was conducted on existing optical technologies, demonstrating the use of PONs (Passive Optical Networks), which provide a reduction in implementation costs of FTTH technology with uses a point-tomultipoint architecture in the access networks. Overall, it demonstrates the feasibility of using the FTTH PONs environment to replace xDSL (Digital Subscriber Line).O aumento exponencial no tráfego de dados na Internet impõe novos desafios para os sistemas de telecomunicações. Entretanto, há um complexo cenário a ser estudado pelos desenvolvedores destas tecnologias. Há necessidade de se aliar o compromisso em atender aos interesses das operadoras de telefonia, em aumentar suas receitas líquidas e os interesses dos clientes, que buscam cada vez mais obter uma maior taxa de transmissão de dados. Em face a esta nova realidade, diversas soluções têm sido discutidas no âmbito das comunicações ópticas. Dentre elas encontra-se a tecnologia FTTH (Fiber To The Home), a qual tem sido creditada como uma das principais opções para proporcionar o aumento de largura de banda nas redes de acesso, grande gargalo da Internet atual. Desta forma, no presente trabalho, é realizado um estudo sobre as tecnologias ópticas existentes, evidenciando o uso das PONs (Passive Optical Networks), que proporcionam uma redução nos custos de implementação da tecnologia FTTH com uso de uma arquitetura ponto-multiponto nas redes de acesso. De maneira geral, prova-se a viabilidade do uso das PONs no ambiente FTTH em substituição à xDSL (Digital Subscriber Line)

Journal of Telecommunications and Information Technology, 2013, nr 1

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