The Three-User Finite-Field Multi-Way Relay Channel with Correlated Sources

This paper studies the three-user finite-field multi-way relay channel, where the users exchange messages via a relay. The messages are arbitrarily correlated, and the finite-field channel is linear and is subject to additive noise of arbitrary distribution. The problem is to determine the minimum achievable source-channel rate, defined as channel uses per source symbol needed for reliable communication. We combine Slepian-Wolf source coding and functional-decode-forward channel coding to obtain the solution for two classes of source and channel combinations. Furthermore, for correlated sources that have their common information equal their mutual information, we propose a new coding scheme to achieve the minimum source-channel rate.Comment: Author's final version (accepted and to appear in IEEE Transactions on Communications

Analysis of MIMO Communications Systems Based on Experimentally Observed Channels

This thesis presents an analysis of multiple-input/multiple-output (MIMO) communications systems where the objective is to provide a unified solution to the problems of (i) crosstalk coupling in transmission line channels (ii) multi-path fading in the time variant high frequency wireless channel. In the case of transmission line channels, a comparative analysis is presented of the performance of MIMO communications systems based on balanced CAT 5 twisted-pair transmission lines, balanced twisted-pair telephone transmission lines scheme as well as unbalanced flat-pair transmission lines. The unbalanced flat-pair transmission lines are viewed as a model for digital subscriber lines (DSLs) which may be deemed out-of-range for high speed internet connections because of the circumstances of poor balance, high insertion losses and high degrees of crosstalk. This comparative analysis is then extended to examine effect of imperfect knowledge of the transmission line channels on MIMO communications system performance. In the case of wireless channels, an analysis is presented which investigates the effect of both the Rayleigh and Ricean channels on MIMO communications system performance. Again the analysis of the wireless channels is extended to examine the effect of imperfect knowledge of the channel on MIMO communications systems performance. All of the analyses in this work are based on experimentally observed channels. In the case of the transmission line channels, it is concluded that MIMO communications systems do offer the possibility of high speed internet connectivity on transmission lines that, hereto, would have been considered out-of-range for such services. Considering the CAT 5 transmission line channels, it is concluded that the MIMO communications system provide enhancement at frequencies above 50 MHz and therefore the possibly of extending length and coverage above the standard 100 metres is proposed. On the other hand, the improved performance of the twisted-pair telephone transmission lines is consistent over the range from 300 kHz to 100 MHz when the MIMO system is applied. For all the transmission line channels that are examined, the extent of imperfect knowledge of the channel that can be allowed while maintaining a reasonable MIMO communications system performance is indicated. In the case of the wireless channels, it is concluded that MIMO communications system performance is better in the case of Rayleigh channel than in the case of Ricean channel provided that the degree of correlation of the multi-path channel impulse response components is equivalent. Also, as the number of transmitters and receivers, N T, increases the effect of a given degree of imperfect knowledge of the wireless channel becomes more detrimental on MIMO communication system performance. This work thus indicates the extent of imperfect knowledge of the wireless channel that can be allowed while maintaining a reasonable MIMO communications system performance. The trade-off between increased capacity gain and decreased accuracy of knowledge of the channel as the dimension, N T, was increased is highlighted

Advanced Trends in Wireless Communications

Physical limitations on wireless communication channels impose huge challenges to reliable communication. Bandwidth limitations, propagation loss, noise and interference make the wireless channel a narrow pipe that does not readily accommodate rapid flow of data. Thus, researches aim to design systems that are suitable to operate in such channels, in order to have high performance quality of service. Also, the mobility of the communication systems requires further investigations to reduce the complexity and the power consumption of the receiver. This book aims to provide highlights of the current research in the field of wireless communications. The subjects discussed are very valuable to communication researchers rather than researchers in the wireless related areas. The book chapters cover a wide range of wireless communication topics

Randomly Spread CDMA: Asymptotics via Statistical Physics

This paper studies randomly spread code-division multiple access (CDMA) and multiuser detection in the large-system limit using the replica method developed in statistical physics. Arbitrary input distributions and flat fading are considered. A generic multiuser detector in the form of the posterior mean estimator is applied before single-user decoding. The generic detector can be particularized to the matched filter, decorrelator, linear MMSE detector, the jointly or the individually optimal detector, and others. It is found that the detection output for each user, although in general asymptotically non-Gaussian conditioned on the transmitted symbol, converges as the number of users go to infinity to a deterministic function of a "hidden" Gaussian statistic independent of the interferers. Thus the multiuser channel can be decoupled: Each user experiences an equivalent single-user Gaussian channel, whose signal-to-noise ratio suffers a degradation due to the multiple-access interference. The uncoded error performance (e.g., symbol-error-rate) and the mutual information can then be fully characterized using the degradation factor, also known as the multiuser efficiency, which can be obtained by solving a pair of coupled fixed-point equations identified in this paper. Based on a general linear vector channel model, the results are also applicable to MIMO channels such as in multiantenna systems.Comment: To be published in IEEE Transactions on Information Theor

Allocation designs for massive multiple access with interference cancellation

In the transition towards the next generation of wireless technology systems, the increasing number of devices curbs the potential of current wireless networks to cope with such increases in network density. Wireless communications via satellite constitute a cost effective option to achieve high transmission reliability in remote areas or to create resilient networks to be used in emergency situations. To counterbalance the growing network density, one of the main goals in the uplink is to increase the spectral efficiency of the network. By working on the application of non-orthogonal multiple access and the exploitation of the collision domain through interference cancellation, this dissertation tackles the problem of massive multiple access. A consensual scheme that meets the main goal and the aim of reducing the interaction between devices and the satellite in the control plane is Enhanced Spread Spectrum ALOHA, which combines spreading-based short-packet transmissions with successive interference cancellation (SIC) on the receiver's side. This combination opens up several design avenues in terms of energy and code allocation to users when a certain amount of channel state information is available to them. Motivated by this scheme, this thesis studies the best allocation strategies when the SIC receiver operates nonideally: firstly, it investigates a system model for a receiver that, inspired by the demodulator adopted in the Enhanced Spread Spectrum ALOHA system, deals with the problems of user ordering and iterative decoding with short packets; and secondly, it delves into the user-asymptotic regime and the application of the calculus of variations to derive the stationary point equations corresponding to the optimal allocation rules.The first part of this thesis investigates the impact of nonideal decoding and imperfect cancellation on the first iteration of a SIC receiver aided by redundancy-check error control. The system model characterises both non-idealities using known functions of the signal-to-interference-plus-noise ratio. The propagation of packet decoding success/failure events throughout the stages of the receiver is circumvented in the user-asymptotic regime, since the model takes a deterministic form. The asymptotically optimal energy and rate allocation is studied for a wide variety of cases. The second part of this thesis investigates an iterative SIC receiver and extends the allocation designs derived previously to iterations beyond the first. The derivation of a system model is challenging, since each iteration of the receiver operates with memory with respect to the previous ones, and due to the fact that the decoding operations for the same user in different iterations are statistically dependent. This thesis motivates and states a system model that solves said difficulties by adding minimal complexity to the one adopted previously. The user-asymptotic regime is investigated to reveal mathematical forms to the above model that allow for a thorough understanding of the adopted receiver. Finally, the chapter exploits the user-asymptotic model and conducts research to designing smooth allocation functions. The third part of this thesis studies the user-ordering problem for a SIC receiver to which the strengths received from all users are unknown. The thesis derives an accurate system model for a large-user SIC receiver, which proceeds to order users after estimating their symbol energies at the initial stage through preamble cross-correlations. Analytical findings are determined in the user-asymptotic regime. The asymptotically optimal energy allocation is shown to obey, in contrast to the practically exponential user-energy distributions obtained before, a piecewise constant function; fact that entails great computational advantages of its application.En la transició cap a la pròxima generació de sistemes tecnològics sense fils, el creixent nombre de dispositius frena el potencial de les xarxes sense fils actuals per fer front a tal augment en la densitat de xarxa. Les comunicacions sense fils via satèl·lit constitueixen una opció rentable per assolir una fiabilitat de transmissió alta en zones remotes o per crear xarxes que puguin ser utilitzades en situacions d'emergència. Per contrarestar la creixent densitat de xarxa, un dels objectius principals en l'enllaç ascendent és augmentar l'eficiència espectral d'aquesta. Aquesta tesi aborda el problema d'accés múltiple massiu combinant l'aplicació de tècniques d'accés múltiple no ortogonal amb esquemes de cancel·lació d’interferència. Un esquema consensuat que acompleix amb l’objectiu principal i amb la fita de reduir la interacció entre dispositius i satèl·lit en el pla de control és Enhanced Spread Spectrum ALOHA, que combina transmissions de paquets curts basades en l'eixamplament del senyal amb la cancel·lació successiva d'interferències (SIC) en recepció. Aquesta combinació obre diverses vies per l'assignació d'energia i codi als diferents usuaris quan aquests disposen d’informació sobre l'estat del canal. Motivat per l'esquema anterior, aquesta tesi estudia les millors estratègies d'assignació quan s'adopta un receptor SIC no ideal: en primer lloc, investiga un model de sistema per un receptor SIC que, inspirat en el desmodulador adoptat en el sistema Enhanced Spread Spectrum ALOHA, aborda els problemes d'ordenació d'usuaris i de descodificació iterativa amb paquets curts; i, en segon lloc, s’endinsa en el règim asimptòtic d'usuaris i en l'aplicació del càlcul de variacions per derivar les equacions de punt estacionari corresponents a les funcions d'assignació òptimes. La primera part d'aquesta tesi investiga l'impacte de la descodificació no ideal i de la cancel·lació imperfecta en la primera iteració d'un receptor SIC assistit per control d'errors. El model de sistema proposat caracteritza ambdues no idealitats fent ús de funcions conegudes de la relació senyal-a-soroll-més-interferència. La propagació dels esdeveniments d'èxit/fracàs en la descodificació de paquets al llarg de les etapes del receptor s'aborda en el règim asimptòtic d'usuaris, ja que el model pren forma determinista. Les funcions d'assignació s'estudien en el règim asimptòtic d'usuaris per varis casos. La segona part de la tesi investiga un receptor SIC iteratiu i estén les assignacions derivades en el capítol anterior per a iteracions del SIC més enllà de la primera. La derivació d'un model de sistema suposa un repte, ja que cada iteració del receptor opera amb memòria respecte a iteracions anteriors i degut a que les operacions de descodificació per a un mateix usuari en iteracions diferents són estadísticament dependents. Es proposa un model de sistema que resol tals dificultats afegint complexitat mínima al model adoptat anteriorment. S'investiga el règim asimptòtic d'usuaris amb l'objectiu d’evidenciar expressions matemàtiques del model que permetin la completa comprensió del receptor adoptat. Per últim, es dissenyen funcions d'assignació contínuament diferenciables fent ús del model asimptòtic anterior. La tercera i última part d'aquesta tesi estudia el problema d'ordenació d'usuaris aplicat a un receptor SIC que desconeix les potències rebudes de tots ells. Es deriva un model de sistema per un receptor que gestiona nombrosos usuaris i els ordena després d'estimar les energies de tots ells en l'etapa inicial mitjançant correlacions de preamble. Els resultats analítics s’obtenen en el règim asimptòtic d'usuaris. Es demostra que, contràriament a les distribucions pràcticament exponencials obtingudes anteriorment, l'assignació d'energia òptima derivada per a infinits usuaris presenta una estructura constant a trossos; fet que comporta grans avantatges computacionals en la seva aplicació.En la transición hacia la próxima generación de sistemas tecnológicos inalámbricos, el creciente número de dispositivos frena el potencial de las redes inalámbricas actuales para hacer frente a esos aumentos en la densidad de red. Impulsadas por las innovaciones en tecnología satelital, las comunicaciones inalámbricas vía satélite constituyen una opción rentable para lograr una alta fiabilidad de transmisión en zonas remotas o para crear redes reservadas para situaciones de emergencia. Para contrarrestar la creciente densidad de la red, uno de los objetivos principales en el enlace ascendente es aumentar la eficiencia espectral de la misma. En favor de este objetivo, se identifican tres técnicas no excluyentes: (i) la aplicación de técnicas de acceso múltiple no ortogonal, para hacer frente a la limitada disponibilidad de recursos ortogonales requeridos en el acceso múltiple convencional, (ii) la explotación del dominio de colisión por el receptor, mediante la cancelación de interferencias, y (iii) la utilización de satélites multihaz, que, usando la tecnología multiantena, permiten una reutilización más eficiente del dominio espacial. Esta tesis aborda el problema de acceso múltiple masivo trabajando en los dos primeros puntos. Un esquema consensuado que cumple con el objetivo principal y con el fin de reducir la interacción entre los dispositivos y el satélite en el plano de control es Enhanced Spread Spectrum ALOHA, que combina transmisiones de paquetes cortos basadas en el ensanchamiento de la señal con la cancelación sucesiva de interferencias (SIC) en recepción. Esta combinación abre diversas vías para la asignación de energía y código a los usuarios cuando estos disponen de cierta información sobre el estado del canal. Motivado por el esquema anterior, esta tesis reexamina resultados previos bajo análisis teóricos de capacidad y cancelación perfecta, y estudia las mejores estrategias de asignación cuando el receptor SIC opera de forma no ideal. Los análisis anteriores se amplían en dos frentes: en primer lugar, adoptando políticas de decodificación y cancelación adaptadas para paquetes cortos; y, en segundo lugar, explorando el desequilibrio de energía, tasa de transmisión y fiabilidad. Con respecto al primer punto, esta tesis investiga un modelo de sistema para un receptor SIC que, inspirado en el demodulador adoptado en el sistema Enhanced Spread Spectrum ALOHA, aborda los problemas de ordenación de usuarios y decodificación iterativa con paquetes cortos. En cuanto al segundo punto, esta tesis se adentra en el régimen asintótico de usuarios y en la aplicación del cálculo de variaciones para derivar las ecuaciones de punto estacionario correspondientes a las funciones de asignación óptimas. Una de las principales contribuciones de esta tesis es el descubrimiento de funciones discontinuas (continuamente diferenciables a trozos) como una clase de distribuciones de energía ordenada para maximizar la eficiencia espectral; un enfoque que ha demostrado ser abrumadoramente exitoso. En concreto, el modelo derivado en la presente tesis incorpora, progresivamente y a lo largo de tres capítulos independientes, aspectos prácticos del cancelador de interferencias adoptado: 1. La primera parte de esta tesis investiga el impacto de la decodificación no ideal y de la cancelación imperfecta en la primera iteración de un receptor SIC asistido por control de errores. El modelo de sistema caracteriza ambas no idealidades utilizando funciones conocidas de la relación señal-a-ruido-más-interferencia (SINR) bajo la suposición de interferencia gaussiana: las funciones tasa de error de paquete (PER) y energía residual. La propagación de los eventos de éxito/fracaso en la decodificación de paquetes a lo largo de las etapas del receptor SIC se sortea en el régimen asintótico de usuarios, puesto que el modelo de sistema adopta expresiones deterministas. La asignación de energía y código se estudia en el régimen asintótico de usuarios para una amplia variedad de casos, incluyendo conjuntos formados por un número finito o infinito de esquemas de modulación y corrección de errores para paquetes de longitud finita e infinita. 2. La segunda parte de esta tesis investiga un receptor SIC iterativo y extiende las asignaciones derivadas anteriormente para iteraciones del SIC más allá de la primera. La derivación de un modelo para tal sistema supone un reto, ya que cada iteración del receptor opera con memoria respecto a las anteriores y porque las operaciones de decodificación para un mismo usuario en distintas iteraciones son estadísticamente dependientes. Esta tesis propone justificadamente un modelo de sistema que resuelve dichas dificultades añadiendo complejidad mínima al adoptado con anterioridad. En concreto, el modelo usa funciones PER multivariable, cuyos argumentos corresponden a las SINRs que experimenta un usuario a lo largo de las iteraciones del receptor, y define biyecciones para relacionar los índices de los usuarios que permanecen decodificados sin éxito en cada iteración. Se investiga el régimen asintótico de usuarios para revelar expresiones matemáticas del modelo anterior que permitan un completo entendimiento del receptor adoptado. Por último, se investiga el diseño de funciones de asignación continuamente diferenciables con extremos libres haciendo uso del modelo asintótico anterior. 3. La tercera y última parte de esta tesis estudia el problema de ordenación de usuarios en un receptor SIC que desconoce las potencias recibidas de todos ellos. La tesis deriva un modelo de sistema para un receptor SIC que gestiona un gran número de usuarios y los ordena tras estimar sus energías en la etapa inicial mediante correlaciones de preámbulo. En el régimen asintótico de usuarios, se obtienen resultados analíticos en los que el rendimiento del sistema se rige por un kernel conocido. Se demuestra que, contrariamente a las distribuciones prácticamente exponenciales obtenidas anteriormente, la asignación óptima de energía derivada para un número infinito de usuarios obedece una función constante a trozos; hecho que conlleva grandes ventajas computacionales en su aplicación.Postprint (published version

Indoor Radio Measurement and Planning for UMTS/HSPDA with Antennas

Over the last decade, mobile communication networks have evolved tremendously with a key focus on providing high speed data services in addition to voice. The third generation of mobile networks in the form of Universal Mobile Telecommunications System (UMTS) is already offering revolutionary mobile broadband experience to its users by deploying High Speed Downlink Packet Access (HSDPA) as its packet-data technology. With data speeds up to 14.4 Mbps and ubiquitous mobility, HSDPA is anticipated to become a preferred broadband access medium for end-users via mobile phones, laptops etc. While majority of these end-users are located indoors most of the time, approximately 70-80% of the HSDPA traffic is estimated to originate from inside buildings. Thus for network operators, indoor coverage has become a necessity for technical and business reasons. Macro-cellular (outdoor) to indoor coverage is a natural inexpensive way of providing network coverage inside the buildings. However, it does not guarantee sufficient link quality required for optimal HSDPA operation. On the contrary, deploying a dedicated indoor system may be far too expensive from an operator\u27s point of view. In this thesis, the concept is laid for the understanding of indoor radio wave propagation in a campus building environment which could be used to plan and improve outdoor-to-indoor UMTS/HSDPA radio propagation performance. It will be shown that indoor range performance depends not only on the transmit power of an indoor antenna, but also on the product\u27s response to multipath and obstructions in the environment along the radio propagation path. An extensive measurement campaign will be executed in different indoor environments analogous to easy, medium and hard radio conditions. The effects of walls, ceilings, doors and other obstacles on measurement results would be observed. Chapter one gives a brief introduction to the evolution of UMTS and HSDPA. It goes on to talk about radio wave propagation and some important properties of antennas which must be considered when choosing an antenna for indoor radio propagation. The challenges of in-building network coverage and also the objectives of this thesis are also mentioned in this chapter. The evolution and standardization, network architecture, radio features and most importantly, the radio resource management features of UMTS/HSDPA are given in chapter two. In this chapter, the reason why Wideband Code Division Multiple Access (WCDMA) was specified and selected for 3G (UMTS) systems would be seen. The architecture of the radio access network, interfaces with the radio access network between base stations and radio network controllers (RNC), and the interface between the radio access network and the core network are also described in this chapter. The main features of HSDPA are mentioned at the end of the chapter. In chapter three the principles of the WCDMA air interface, including spreading, Rake reception, signal fading, power control and handovers are introduced. The different types and characteristics of the propagation environments and how they influence radio wave propagation are mentioned. UMTS transport, logical and physical channels are also mentioned, highlighting their significance and relationship in and with the network. Radio network planning for UMTS is discussed in chapter four. The outdoor planning process which includes dimensioning, detailed planning, optimization and monitoring is outlined. Indoor radio planning with distributed antenna systems (DAS), which is the idea and motivation behind this thesis work, is also discussed. The various antennas considered and the antenna that was selected for this thesis experiment was discussed in chapter five. The antenna radiation pattern, directivity, gain and input impedance were the properties of the antenna that were taken into consideration. The importance of the choice of the antenna for any particular type of indoor environment is also mentioned. In chapter six, the design and fabrication of the monopole antennas used for the experimental measurement is mentioned. The procedure for measurement and the equipment used are also discussed. The results gotten from the experiment are finally analyzed and discussed. In this chapter the effect of walls, floors, doors, ceilings and other obstacles on radio wave propagation will be seen. Finally, chapter seven concludes this thesis work and gives some directions for future work

Engineering evaluations and studies. Volume 3: Exhibit C

High rate multiplexes asymmetry and jitter, data-dependent amplitude variations, and transition density are discussed