Time diversity solutions to cope with lost packets

A dissertation submitted to Departamento de Engenharia Electrotécnica of Faculdade de Ciências e Tecnologia of Universidade Nova de Lisboa in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Engenharia Electrotécnica e de ComputadoresModern broadband wireless systems require high throughputs and can also have very high Quality-of-Service (QoS) requirements, namely small error rates and short delays. A high spectral efficiency is needed to meet these requirements. Lost packets, either due to errors or collisions, are usually discarded and need to be retransmitted, leading to performance degradation. An alternative to simple retransmission that can improve both power and spectral efficiency is to combine the signals associated to different transmission attempts. This thesis analyses two time diversity approaches to cope with lost packets that are relatively similar at physical layer but handle different packet loss causes. The first is a lowcomplexity Diversity-Combining (DC) Automatic Repeat reQuest (ARQ) scheme employed in a Time Division Multiple Access (TDMA) architecture, adapted for channels dedicated to a single user. The second is a Network-assisted Diversity Multiple Access (NDMA) scheme, which is a multi-packet detection approach able to separate multiple mobile terminals transmitting simultaneously in one slot using temporal diversity. This thesis combines these techniques with Single Carrier with Frequency Division Equalizer (SC-FDE) systems, which are widely recognized as the best candidates for the uplink of future broadband wireless systems. It proposes a new NDMA scheme capable of handling more Mobile Terminals (MTs) than the user separation capacity of the receiver. This thesis also proposes a set of analytical tools that can be used to analyse and optimize the use of these two systems. These tools are then employed to compare both approaches in terms of error rate, throughput and delay performances, and taking the implementation complexity into consideration. Finally, it is shown that both approaches represent viable solutions for future broadband wireless communications complementing each other.Fundação para a Ciência e Tecnologia - PhD grant(SFRH/BD/41515/2007); CTS multi-annual funding project PEst-OE/EEI/UI0066/2011, IT pluri-annual funding project PEst-OE/EEI/LA0008/2011, U-BOAT project PTDC/EEATEL/ 67066/2006, MPSat project PTDC/EEA-TEL/099074/2008 and OPPORTUNISTICCR project PTDC/EEA-TEL/115981/200

Modern Random Access for Satellite Communications

The present PhD dissertation focuses on modern random access (RA) techniques. In the first part an slot- and frame-asynchronous RA scheme adopting replicas, successive interference cancellation and combining techniques is presented and its performance analysed. The comparison of both slot-synchronous and asynchronous RA at higher layer, follows. Next, the optimization procedure, for slot-synchronous RA with irregular repetitions, is extended to the Rayleigh block fading channel. Finally, random access with multiple receivers is considered.Comment: PhD Thesis, 196 page

Advanced random access techniques for satellite communications

In this thesis, Advanced Random Access techniques for Satellite Communications are studied. In the last years, new advances in multi-access communication protocols together with the increasing need for bidirectional communications in consumer type of interactive satellite terminals have revived the interest for a set of schemes able to guarantee high-speed and low latency communications in bursty traffic conditions. In this work, starting from the latest findings on Aloha-based Random Access schemes, the optimization of such techniques and their use in closed-loop scenarios is investigated with particular regard to the Return Channel over Satellite of Digital Video Broadcasting. The thesis starts with a summary on the state of the art of Demand Assigned and Random Access techniques as well as on the recent evolution from the first to the second version of the Return Channel over Satellite of the Digital Video Broadcasting specification. In chapter 2 a stability and packet delay model for channel analysis and design are presented, showing that proper design through this tools can ensure high performance of the new access scheme. The use of control limit policies is also introduced and its use is thoroughly discussed both for finite and infinite users population showing that, differently from Slotted Aloha, in some cases static design over dynamic policies might be preferable if long propagation delay is present. In chapter 3 the same models and tools introduced for CRDSA are extended to the case of asynchronous Random Access schemes and a comparison of the two families of schemes is put in place demonstrating that asynchronous techniques are convenient only when the signal-to-noise ratio is high enough to ensure decodability of partially colliding packets. In chapter 4 a new access scheme currently patent pending is presented. In this scheme terminals access the channel in an unframed manner. It is shown that such a change brings improvements that further diminish latency due to immediate transmission of the first replica and further boost throughput because the number of loops on the corresponding bipartite graph representation is mitigated. The thesis concludes with a call for a new discussion of resource allocation in multi-access satellite communication scenarios such as DVB-RCS2 in light of the obtained results and of the new requirements in interactive satellite networks

Energy-efficient diversity combining for different access schemes in a multi-path dispersive channel

Dissertação para obtenção do Grau de Doutor em Engenharia Electrotécnica e ComputadoresThe forthcoming generation of mobile communications, 5G, will settle a new standard for a larger bandwidth and better Quality of Service (QoS). With the exploding growth rate of user generated data, wireless standards must cope with this growth and at the same time be energy efficient to avoid depleting the batteries of wireless devices. Besides these issues, in a broadband wireless setting QoS can be severely affected from a multipath dispersive channel and therefore be energy demanding. Cross-layered architectures are a good choice to enhance the overall performance of a wireless system. Examples of cross-layered Physical (PHY) - Medium Access Control (MAC) architectures are type-II Diversity Combining (DC) Hybrid-ARQ (H-ARQ) and Multi-user Detection (MUD) schemes. Cross-layered type-II DC H-ARQ schemes reuse failed packet transmissions to enhance data reception on posterior retransmissions; MUD schemes reuse data information from previously collided packets on posterior retransmissions to enhance data reception. For a multipath dispersive channel, a PHY layer analytical model is proposed for Single-Carrier with Frequency Domain Equalization (SC-FDE) that supports DC H-ARQ and MUD. Based on this analytical model, three PHY-MAC protocols are proposed. A crosslayered Time Division Multiple Access (TDMA) scheme that uses DC H-ARQ is modeled and its performance is studied in this document; the performance analysis shows that the scheme performs better with DC and achieves a better energy efficiency at the cost of a higher delay. A novel cross-layered prefix-assisted Direct-Sequence Code Division Multiple Access (DS-CDMA) scheme is proposed and modeled in this document, it uses principles of DC and MUD. This protocol performs better by means of additional retransmissions, achieving better energy efficiency, at the cost of higher redundancy from a code spreading gain. Finally, a novel cross-layered protocol H-ARQ Network Division Multiple Access (H-NDMA) is proposed and modeled, where the combination of DC H-ARQ and MUD is used with the intent of maximizing the system capacity with a lower delay; system results show that the proposed scheme achieves better energy efficiency and a better performance at the cost of a higher number of retransmissions. A comparison of the three cross-layered protocols is made, using the PHY analytical model, under normalized conditions using the same amount of maximum redundancy. Results show that the H-NDMA protocol, in general, obtains the best results, achieving a good performance and a good energy efficiency for a high channel load and low Signal-to-Noise Ratio (SNR). TDMA with DC H-ARQ achieves the best energy efficiency, although presenting the worst delay. Prefix-assisted DS-CDMA in the other hand shows good delay results but presents the worst throughput and energy efficiency

Protocol for Extreme Low Latency M2M Communication Networks

As technology evolves, more Machine to Machine (M2M) deployments and mission critical services are expected to grow massively, generating new and diverse forms of data traffic, posing unprecedented challenges in requirements such as delay, reliability, energy consumption and scalability. This new paradigm vindicates a new set of stringent requirements that the current mobile networks do not support. A new generation of mobile networks is needed to attend to this innovative services and requirements - the The fifth generation of mobile networks (5G) networks. Specifically, achieving ultra-reliable low latency communication for machine to machine networks represents a major challenge, that requires a new approach to the design of the Physical (PHY) and Medium Access Control (MAC) layer to provide these novel services and handle the new heterogeneous environment in 5G. The current LTE Advanced (LTE-A) radio access network orthogonality and synchronization requirements are obstacles for this new 5G architecture, since devices in M2M generate bursty and sporadic traffic, and therefore should not be obliged to follow the synchronization of the LTE-A PHY layer. A non-orthogonal access scheme is required, that enables asynchronous access and that does not degrade the spectrum. This dissertation addresses the requirements of URLLC M2M traffic at the MAC layer. It proposes an extension of the M2M H-NDMA protocol for a multi base station scenario and a power control scheme to adapt the protocol to the requirements of URLLC. The system and power control schemes performance and the introduction of more base stations are analyzed in a system level simulator developed in MATLAB, which implements the MAC protocol and applies the power control algorithm. Results showed that with the increase in the number of base stations, delay can be significantly reduced and the protocol supports more devices without compromising delay or reliability bounds for Ultra-Reliable and Low Latency Communication (URLLC), while also increasing the throughput. The extension of the protocol will enable the study of different power control algorithms for more complex scenarios and access schemes that combine asynchronous and synchronous access

Energy Efficient and Cooperative Solutions for Next-Generation Wireless Networks

Energy efficiency is increasingly important for next-generation wireless systems due to the limited battery resources of mobile clients. While fourth generation cellular standards emphasize low client battery consumption, existing techniques do not explicitly focus on reducing power that is consumed when a client is actively communicating with the network. Based on high data rate demands of modern multimedia applications, active mode power consumption is expected to become a critical consideration for the development and deployment of future wireless technologies. Another reason for focusing more attention on energy efficient studies is given by the relatively slow progress in battery technology and the growing quality of service requirements of multimedia applications. The disproportion between demanded and available battery capacity is becoming especially significant for small-scale mobile client devices, where wireless power consumption dominates within the total device power budget. To compensate for this growing gap, aggressive improvements in all aspects of wireless system design are necessary. Recent work in this area indicates that joint link adaptation and resource allocation techniques optimizing energy efficient metrics can provide a considerable gain in client power consumption. Consequently, it is crucial to adapt state-of-the-art energy efficient approaches for practical use, as well as to illustrate the pros and cons associated with applying power-bandwidth optimization to improve client energy efficiency and develop insights for future research in this area. This constitutes the first objective of the present research. Together with energy efficiency, next-generation cellular technologies are emphasizing stronger support for heterogeneous multimedia applications. Since the integration of diverse services within a single radio platform is expected to result in higher operator profits and, at the same time, reduce network management expenses, intensive research efforts have been invested into design principles of such networks. However, as wireless resources are limited and shared by clients, service integration may become challenging. A key element in such systems is the packet scheduler, which typically helps ensure that the individual quality of service requirements of wireless clients are satisfied. In contrastingly different distributed wireless environments, random multiple access protocols are beginning to provide mechanisms for statistical quality of service assurance. However, there is currently a lack of comprehensive analytical frameworks which allow reliable control of the quality of service parameters for both cellular and local area networks. Providing such frameworks is therefore the second objective of this thesis. Additionally, the study addresses the simultaneous operation of a cellular and a local area network in spectrally intense metropolitan deployments and solves some related problems. Further improving the performance of battery-driven mobile clients, cooperative communications are sought as a promising and practical concept. In particular, they are capable of mitigating the negative effects of fading in a wireless channel and are thus expected to enhance next-generation cellular networks in terms of client spectral and energy efficiencies. At the cell edges or in areas missing any supportive relaying infrastructure, client-based cooperative techniques are becoming even more important. As such, a mobile client with poor channel quality may take advantage of neighboring clients which would relay data on its behalf. The key idea behind the concept of client relay is to provide flexible and distributed control over cooperative communications by the wireless clients themselves. By contrast to fully centralized control, this is expected to minimize overhead protocol signaling and hence ensure simpler implementation. Compared to infrastructure relay, client relay will also be cheaper to deploy. Developing the novel concept of client relay, proposing simple and feasible cooperation protocols, and analyzing the basic trade-offs behind client relay functionality become the third objective of this research. Envisioning the evolution of cellular technologies beyond their fourth generation, it appears important to study a wireless network capable of supporting machine-to-machine applications. Recent standardization documents cover a plethora of machine-to-machine use cases, as they also outline the respective technical requirements and features according to the application or network environment. As follows from this activity, a smart grid is one of the primary machine-to-machine use cases that involves meters autonomously reporting usage and alarm information to the grid infrastructure to help reduce operational cost, as well as regulate a customer's utility usage. The preliminary analysis of the reference smart grid scenario indicates weak system architecture components. For instance, the large population of machine-to-machine devices may connect nearly simultaneously to the wireless infrastructure and, consequently, suffer from excessive network entry delays. Another concern is the performance of cell-edge machine-to-machine devices with weak wireless links. Therefore, mitigating the above architecture vulnerabilities and improving the performance of future smart grid deployments is the fourth objective of this thesis. Summarizing, this thesis is generally aimed at the improvement of energy efficient properties of mobile devices in next-generation wireless networks. The related research also embraces a novel cooperation technique where clients may assist each other to increase per-client and network-wide performance. Applying the proposed solutions, the operation time of mobile clients without recharging may be increased dramatically. Our approach incorporates both analytical and simulation components to evaluate complex interactions between the studied objectives. It brings important conclusions about energy efficient and cooperative client behaviors, which is crucial for further development of wireless communications technologies

Optimization of multidimensional equalizers based on MMSE criteria for multiuser detection

PhD ThesisThis thesis is about designing a multidimensional equalizer for uplink interleaved division multiple access (IDMA) transmission. Multidimensional equalizer can be classified into centralized and decentralized multidimensional equalizer. Centralized multidimensional equalizer (MDE) have been used to remove both inter-symbol interference (ISI) and multiaccess interference (MAI) effects from the received signal. In order to suppress MAI effects, code division multiple access (CDMA) has been used with MDE to minimize the correlation between users' signals. The MDE structure can be designed using linear equalizer (MLE) or decision feedback equalizer (MDFE). Previous studies on MDE employed adaptive algorithms to estimate filter co-effi cients during the training mode, i.e. the symbol equalization was not optimal, for two users. In our work, we applied MDE on IDMA receiver for multipath selective fading channels and also derived new equations to obtain the optimal filter taps for both types of MDE equalizers, i.e. MDFE and MLE, based on the minimum mean square error (MMSE) criterion. The optimal filter taps are calculated for more than two users. Moreover, we investigated the performance of the optimal MDFE using both IDMA (MDFE-IDMA) and CDMA (MDFE-CDMA) detectors. Generally, the MDE equalizer suffers from residual MAI interference effects at low signal-to-noise-ratios (SNR) due to the delay inherent in the convergence of the crossover filter taps. Therefore, a new decentralized multidimensional equalizer has been proposed to IDMA detector. Within design of decentralized equalizer, the convergence problem has been resolved by replacing the crossover filters with parallel interference canceler (PIC) for removing MAI dispersion. The proposed decentralized multidimensional equalizer shows a higher efficiency in removing MAI interference when compared with existing receivers in the literature. However, this is achieved at the expense of higher computational complexity compared to centralized multidimensional equalization

大規模多元接続ネットワークのためのグラフ構造に基づくランダムアクセス方式

電気通信大学201

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