Study of Gaussian Relay Channels with Correlated Noises

In this paper, we consider full-duplex and half-duplex Gaussian relay channels where the noises at the relay and destination are arbitrarily correlated. We first derive the capacity upper bound and the achievable rates with three existing schemes: Decode-and-Forward (DF), Compress-and-Forward (CF), and Amplify-and-Forward (AF). We present two capacity results under specific noise correlation coefficients, one being achieved by DF and the other being achieved by direct link transmission (or a special case of CF). The channel for the former capacity result is equivalent to the traditional Gaussian degraded relay channel and the latter corresponds to the Gaussian reversely-degraded relay channel. For CF and AF schemes, we show that their achievable rates are strictly decreasing functions over the negative correlation coefficient. Through numerical comparisons under different channel settings, we observe that although DF completely disregards the noise correlation while the other two can potentially exploit such extra information, none of the three relay schemes always outperforms the others over different correlation coefficients. Moreover, the exploitation of noise correlation by CF and AF accrues more benefit when the source-relay link is weak. This paper also considers the optimal power allocation problem under the correlated-noise channel setting. With individual power constraints at the relay and the source, it is shown that the relay should use all its available power to maximize the achievable rates under any correlation coefficient. With a total power constraint across the source and the relay, the achievable rates are proved to be concave functions over the power allocation factor for AF and CF under full-duplex mode, where the closed-form power allocation strategy is derived.Comment: 24 pages, 7 figures, submitted to IEEE Transactions on Communication

On the Outage Probability of the Full-Duplex Interference-Limited Relay Channel

In this paper, we study the performance, in terms of the asymptotic error probability, of a user which communicates with a destination with the aid of a full-duplex in-band relay. We consider that the network is interference-limited, and interfering users are distributed as a Poisson point process. In this case, the asymptotic error probability is upper bounded by the outage probability (OP). We investigate the outage behavior for well-known cooperative schemes, namely, decode-and-forward (DF) and compress-and-forward (CF) considering fading and path loss. For DF we determine the exact OP and develop upper bounds which are tight in typical operating conditions. Also, we find the correlation coefficient between source and relay signals which minimizes the OP when the density of interferers is small. For CF, the achievable rates are determined by the spatial correlation of the interferences, and a straightforward analysis isn't possible. To handle this issue, we show the rate with correlated noises is at most one bit worse than with uncorrelated noises, and thus find an upper bound on the performance of CF. These results are useful to evaluate the performance and to optimize relaying schemes in the context of full-duplex wireless networks.Comment: 30 pages, 4 figures. Final version. To appear in IEEE JSAC Special Issue on Full-duplex Wireless Communications and Networks, 201

Analysis of a Cooperative Strategy for a Large Decentralized Wireless Network

This paper investigates the benefits of cooperation and proposes a relay activation strategy for a large wireless network with multiple transmitters. In this framework, some nodes cooperate with a nearby node that acts as a relay, using the decode-and-forward protocol, and others use direct transmission. The network is modeled as an independently marked Poisson point process and the source nodes may choose their relays from the set of inactive nodes. Although cooperation can potentially lead to significant improvements in the performance of a communication pair, relaying causes additional interference in the network, increasing the average noise that other nodes see. We investigate how source nodes should balance cooperation vs. interference to obtain reliable transmissions, and for this purpose we study and optimize a relay activation strategy with respect to the outage probability. Surprisingly, in the high reliability regime, the optimized strategy consists on the activation of all the relays or none at all, depending on network parameters. We provide a simple closed-form expression that indicates when the relays should be active, and we introduce closed form expressions that quantify the performance gains of this scheme with respect to a network that only uses direct transmission.Comment: Updated version. To appear in IEEE Transactions on Networkin

Techniques de coopération dans les réseaux à radio cognitive : conception et évaluation des performances

RÉSUMÉ La technologie de radio cognitive permet aux usagers sans licence (appelés usagers secondaires) de transmettre dans les bandes de fréquences avec licence, sans dégrader la qualité de service des transmissions des usagers avec licence (appelés usagers primaires). Afin d’éviter l’interférence indésirable aux récepteurs primaires, les émetteurs secondaires doivent réduire leurs puissances de transmission. Cette limitation de puissance génère généralement des performances secondaires dégradées. Combiner la technologie à radio cognitive à d’autres technologies de transmission émergentes comme la coopération et la technologie des antennes multiples pourrait bénéficier aux transmissions primaires et secondaires. Dans cette thèse, nous proposons et étudions différentes techniques de coopération pour le réseau à radio cognitive. Certaines techniques exploitent la sélection d’antennes ou bien le pré-codage à un seul relai à plusieurs antennes, alors que d’autres utilisent la sélection de relai(s) lorsque plusieurs relais à une seule antenne sont disponibles pour assister la transmission primaire, la transmission secondaire ou les deux simultanément. Le problème d’allocation de puissance ou de pré-codage associé est étudié, et les expressions exactes des probabilités de blocage primaire et/ou secondaire ou de capacité ergodique secondaire sont dérivées. Pour certaines des techniques proposées, la connaissance imparfaite des canaux de transmission est prise en compte, modifiant ainsi la résolution du problème d’allocation de puissance ou de pré-codage associé. Nous montrons par analyse et simulation que chacune des techniques de coopération proposée est capable d’améliorer considérablement la performance secondaire, tout en respectant la qualité de service primaire. Ces performances dépassent d’une manière significative celles des techniques de transmission conventionnelles (techniques coopératives ou non) utilisées dans le contexte du réseau à radio cognitive.---------- ABSTRACT Cognitive radio technology allows unlicensed users (called secondary users) to transmit on the licensed frequency bands, without degrading the quality-of-service of the licensed users’ transmissions (called primary users). In order to avoid undesirable interference at the primary receivers, the secondary transmitters have to limit their transmit power. This limitation may cause performance degradation for the secondary transmissions. Combining cognitive radio with other emerging technologies, such as user cooperation and multiple antennas may have many benefits on both the primary and secondary transmissions. In this dissertation, we propose and investigate different cooperation techniques for the cognitive radio network. Some of the proposed techniques exploit antenna selection or precoding at one multi-antenna relay node, while the other proposed techniques use relay(s) selection when several single-antenna relay nodes are available to assist either the primary, the secondary or both transmissions simultaneously. The associated power allocation problem or pre-coding problem is investigated and the exact expressions of the primary and secondary outage probabilities or the secondary ergodic capacity are derived. For some of the proposed techniques, the imperfect knowledge of the channel states at the secondary transmitters is taken into account, hence modifying the power allocation or pre-coding process. We show by analysis and simulation that each of the proposed cooperation technique is able to improve significantly the secondary performance with respect to the primary Quality-of-Service. The realized performances outperform those of conventional transmission techniques used in the context of cognitive radio networks