<p>A cognitive radio network is a multi-user system, in which different radio units compete for limited resources in an opportunistic manner, interacting with each other for access to the available resources. The fact that both users and spectrum holes (i.e., under-utilized spectrum sub-bands) can come and go in a stochastic manner, makes a cognitive radio network a highly non- stationary, dynamic and challenging wireless environment. Finding robust decentralized resource-allocation algorithms, which are capable of achieving reasonably good solutions fast enough in order to guarantee an acceptable level of performance, is crucial in such an environment. In this thesis, a novel dynamic spectrum management (DSM) scheme for cognitive radio networks, termed the self-organizing dynamic spectrum management (SO-DSM), is described and its practical validity is demonstrated using computer simulations. In this scheme, CRs try to exploit the primary networks’ unused bands and establish link with neighbouring CRs using those bands. Inspired by human brain, the CRs extract and memorize primary network’s and other CRs’ activity patterns and create temporal channel assignments on sub-bands with no recent primary user activities using self-organizing maps (SOM) technique. The proposed scheme is decentralized and employs a simple learning rule with low complexity and minimal memory requirements. A software testbed was developed to simulate and study the proposed scheme. This testbed is capable of simulating CR network alongside of a cellular legacy network. In addition to SO-DSM, two other DSM schemes, namely centralized DSM and no-learning decentralized DSM, can be used for CR networks in this software testbed. The software testbed was deployed on parallel high capacity computing clusters from Sharcnet to perform large scale simulations of CR network. The simulation results show, comparing to centralized DSM and minority game DSM (MG-DSM), the SO-DSM decreases the probability of collision with primary users and also probability of CR link interruption significantly with a moderate decrease in CR network spectrum utilization.</p> / Doctor of Philosophy (PhD)

本文取徑經濟學的公共財概念，試圖從此一角度出發探討頻譜管理從「稀有論」轉向「公有論」的論述正當性，並釐清管理模式與財貨特性之關連。根據研究結果，頻譜資源的原始狀態雖符合公共財定義，但並非任何人所有，其財貨特性會隨著科技發展和法律制度而變動，因此「頻譜公有」的論述並未獲得專家學者支持。 儘管如此，頻譜資源在運用上需避免使用者相互干擾，因此建立一套合理的使用秩序，方能促使資源發揮效用。針對提供商業服務之頻譜，本文建議主管機關在規劃與指配上應給予使用者更多彈性，以類似出租國有地的方式，視頻譜資源為獨立客體並制訂相關法律；其次為放寬技術與用途限制，並在釋出資源後開放頻譜二次交易，讓分配效率得以提升。 長期而言，無線通訊科技將不斷演化，當干擾問題可獲得妥善解決，為追求資源使用效率，本文建議管理模式應朝開放共享的方向邁進。簡言之，「頻譜管理」任務本身就是一種公共服務，政府責無旁貸，唯有充分掌握頻譜資源的供給與需求變化，施政方針才能充分反應使用者需求。 / This research argues that the scarcity rationale could be replaced by public spectrum rationale. The research results show that although the nature of spectrum resource is public good by economic definition, it doesn’t mean the resources are owned by the public. Therefore, the ownership of resources should be clearly defined under the law to prevent users from interfering with each other. For spectrum used in private sector, the allocative efficiency is important for some valuable blocks of spectrum such as 800MHz, 900MHz, 1800MHz, 2600MHz. To improve allocative efficiency, the research result suggest that the government could legislate specific laws on spectrum management, while allowing users to decide how they want to make use of the resources. In the long run, wireless communication technology will keep developing. As long as signal interference can be controlled under specific conditions, spectrum sharing including common regime and license-exempt use should be adopted. A government plays the key role which not only provides management service but should also have a systematic plan for improving spectrum efficiency.

Au début des années 2000, les instances aéronautiques ont exprimé le besoin de développer un nouveau système de radiocommunication aéronautique du fait de l'augmentation du trafic aérien et de la saturation croissante des capacités de communication radio entre les aéronefs et les stations de contrôle aérien. L'une des composantes de ce système, nommée L-DACS (« L-band Digital Aeronautical Communication System »), devrait opérer dans la bande L-aéronautique (960-1164 MHz), dans laquelle fonctionnent également de nombreux autres systèmes radioélectriques. La compatibilité radioélectrique (CRE) de L-DACS avec ces systèmes est un des facteurs principaux à prendre en considération dans le développement d'un tel système.L'objectif principal de cette thèse est d'identifier les principaux problèmes reliés à la CRE et d'en étudier les cas critiques. Ces travaux sont fondamentaux en aéronautique, puisque tout dysfonctionnement dans la communication ou dans les systèmes de radionavigation peut mettre en danger la sécurité du vol. Les conclusions de cette thèse contribueront à la normalisation du système L-DACS et à la finalisation de ses spécifications.Dans une première étape, on étudie l'état de l'art dans les communications aéronautiques et en CRE. On analyse en particulier les dernières spécifications des deux systèmes candidats L-DACS. Ensuite, on propose un algorithme de calcul de brouillage dans le but d'étudier la CRE dans le domaine fréquentiel, d'en identifier et d'en traiter les cas critiques. L'analyse fréquentielle étant insuffisante dans plusieurs cas, on propose alors une approche temporelle d'étude de CRE. Après en avoir présenté les avantages, on présente un exemple d'étude de l'effet d'un système L-DACS sur un récepteur DME (« Distance Measuring Equipment ») à l'aide d'un banc de test CRE aéronautique.Cette thèse a été réalisée en collaboration avec la Direction Générale de l'Aviation Civile (DGAC), qui est un acteur principal pour la réglementation des communications et un affectataire de fréquence pour le spectre aéronautique en France. La thèse contribue aux études menées par la DGAC à l'échelle nationale et internationale.Dans les perspectives, on propose la poursuite de cette étude par une approche temporelle plus générale pour étudier la CRE entre des systèmes radioélectriques quelconques en tenant compte de paramètres supplémentaires liés à la dynamique des systèmes et aux propriétés de leurs technologies. / In the beginning of the 21th century, the aeronautical authorities expressed their need to develop a new system for aeronautical radiocommunications, because the air-traffic is increasing and that current communication systems between pilots and air-controllers are reaching their capacity limits. The L-band Digital Aeronautical Communication System (L-DACS) is the part of the future system that will be operating in a part of the aeronautical L-band (960-1164 MHz), already occupied by a large number of radio-frequency legacy systems. Consequently, it is essential to consider its radio-frequency compatibility (RFC) for the development of the future L-DACS system. This thesis aims at identifying the principal issues related to RFC and studying its critical situations. Such topics are fundamental in aeronautics, as any communication or radionavigation dysfunction may endanger flight and passengers security. Some obtained results will be used for the L-DACS standardization and its specifications finalization. We first analyze the state-of-the-art in both aeronautical communications and RFC, focalizing on updated specifications of both preselected L-DACS candidate systems. We then propose a deterministic algorithm to compute the interference level in order to study the RFC in the frequency domain under identified critical scenarios. Since the frequency-domain analysis seems to be insufficient in several cases, we develop a different methodology, called the time-frequency approach, to analyze the RFC for such situations. We apply this new approach to analyze the effect of an L-DACS interferer on a Distance Measuring Equipment (DME) receiver, using an aeronautical RFC test-bed that we implemented at SUPELEC. This work has been performed in collaboration with the French Civil Aviation Authorities (DGAC), which are an important actor in aeronautical communication regulations and aeronautical spectrum management in France. The thesis contributes to DGAC studies at national as well as international levels. For further work, we suggest to generalize the proposed time-frequency approach to analyze the RFC between any two radio-frequency systems, taking into account additional parameters related to system dynamics and their technology properties.

The growing demand for ubiquitous broadband network connectivity and continuously falling prices in hardware operating on the unlicensed bands have put Wi-Fi technology in a position to lead the way in rapid innovation towards high performance wireless for the future. The success story of Wi-Fi contributed to the development of widespread variety of options for unlicensed access (e.g., Bluetooth, Zigbee) and has even sparked regulatory bodies in several countries to permit access to unlicensed devices in portions of the spectrum initially licensed to TV services. In this thesis we present novel spectrum management algorithms for networks employing 802.11 and TV white spaces broadly aimed at efficient use of spectrum under consideration, lower contention (interference) and high performance. One of the target scenarios of this thesis is neighbourhood or citywide wireless access. For this, we propose the use of IEEE 802.11-based multi-radio wireless mesh network using omnidirectional antennae. We develop a novel scalable protocol termed LCAP for efficient and adaptive distributed multi-radio channel allocation. In LCAP, nodes autonomously learn their channel allocation based on neighbourhood and channel usage information. This information is obtained via a novel neighbour discovery protocol, which is effective even when nodes do not share a common channel. Extensive simulation-based evaluation of LCAP relative to the state-of-the-art Asynchronous Distributed Colouring (ADC) protocol demonstrates that LCAP is able to achieve its stated objectives. These objectives include efficient channel utilisation across diverse traffic patterns, protocol scalability and adaptivity to factors such as external interference. Motivated by the non-stationary nature of the network scenario and the resulting difficulty of establishing convergence of LCAP, we consider a deterministic alternative. This approach employs a novel distributed priority-based mechanism where nodes decide on their channel allocations based on only local information. Key enabler of this approach is our neighbour discovery mechanism. We show via simulations that this mechanism exhibits similar performance to LCAP. Another application scenario considered in this thesis is broadband access to rural areas. For such scenarios, we consider the use of long-distance 802.11 mesh networks and present a novel mechanism to address the channel allocation problem in a traffic-aware manner. The proposed approach employs a multi-radio architecture using directional antennae. Under this architecture, we exploit the capability of the 802.11 hardware to use different channel widths and assign widths to links based on their relative traffic volume such that side-lobe interference is mitigated. We show that this problem is NP-complete and propose a polynomial time, greedy channel allocation algorithm that guarantees valid channel allocations for each node. Evaluation of the proposed algorithm via simulations of real network topologies shows that it consistently outperforms fixed width allocation due to its ability to adapt to spatio-temporal variations in traffic demands. Finally, we consider the use of TV-white-spaces to increase throughput for in-home wireless networking and relieve the already congested unlicensed bands. To the best of our knowledge, our work is the first to develop a scalable micro auctioning mechanism for sharing of TV white space spectrum through a geolocation database. The goal of our approach is to minimise contention among secondary users, while not interfering with primary users of TV white space spectrum (TV receivers and microphone users). It enables interference-free and dynamic sharing of TVWS among home networks with heterogeneous spectrum demands, while resulting in revenue generation for database and broadband providers. Using white space availability maps from the UK, we validate our approach in real rural, urban and dense-urban residential scenarios. Our results show that our mechanism is able to achieve its stated objectives of attractiveness to both the database provider and spectrum requesters, scalability and efficiency for dynamic spectrum distribution in an interference-free manner.

The objective of this dissertation is to propose the cross-layer spectrum management architecture for white space applications that improves the performance the main functions of the spectrum management. In the proposed cross-layer architecture, white space network devices such as white space devices and the spectrum map server cooperate to support the extended spectrum map, the inter-cell transmit power adaptation (ITPA), and the frequency-domain coexistence beacon (FCB). Upon the cross-layer architecture, firstly, white space devices (WSDs) achieve a faster search and higher accuracy in spectrum sensing with the extended spectrum map, the extended DHCP (Dynamic Host Configuration Protocol), and the FCB. Secondly, WSDs achieve the precise selection of their operating channel in spectrum decision with the extended spectrum map and the ITPA. In spectrum sharing, thirdly, the collaboration- based spectrum sharing with the ITPA achieve more accommodation of WSDs by increasing the number of channels shared between WSDs. Finally, WSDs with the FCB and the extended spectrum achieve effective spectrum mobility by obtaining the occupancy-status of channels precisely.

The owned spectrum allocation policy, in use since the early days of modern radio communications, has been proven to effectively control interference among radio communication systems. However, the overwhelming proliferation of new operators, innovative services and wireless technologies during the last years has resulted, under this static regulatory regime, in the depletion of spectrum bands with commercially attractive radio propagation characteristics. An important number of spectrum measurements, however, have shown that spectrum is mostly underutilized, thus indicating that the virtual spectrum scarcity problem actually results from static and inflexible spectrum management policies rather than the physical scarcity of radio resources. This situation has motivated the emergence of Dynamic Spectrum Access (DSA) methods based on the Cognitive Radio (CR) paradigm, which has gained popularity as a promising solution to conciliate the existing conflicts between spectrum demand growth and spectrum underutilization. The basic underlying idea of DSA/CR is to allow unlicensed (secondary) users to access in an opportunistic and non-interfering manner some licensed bands temporarily unoccupied by the licensed (primary) users. Due to the opportunistic nature of this principle, the behavior and performance of a DSA/CR network depends on the spectrum occupancy patterns of the primary system. A realistic and accurate modeling of such patterns becomes therefore essential and extremely useful in the domain of DSA/CR research. The potential applicability of spectrum usage models ranges from analytical studies to the design and dimensioning of secondary networks as well as the development of innovative simulation tools and more efficient DSA/CR techniques. Spectrum occupancy modeling in the context of DSA/CR constitutes a rather unexplored research area. This dissertation addresses the problem of modeling spectrum usage in the context of DSA/CR by contributing a comprehensive and holistic set of realistic models capable to accurately capture and reproduce the statistical properties of spectrum usage in real radio communication systems in the time, frequency and space dimensions. The first part of this dissertation addresses the development of a unified methodological framework for spectrum measurements in the context of DSA/CR and presents the results of an extensive spectrum measurement campaign performed over a wide variety of locations and scenarios in the metropolitan area of Barcelona, Spain, to identify potential bands of interest for future DSA/CR deployments. To the best of the author's knowledge, this is the first study of these characteristics performed under the scope of the Spanish spectrum regulation and one of the earliest studies in Europe. The second part deals with various specific aspects related to the processing of measurements to extract spectrum occupancy patterns, which is largely similar to the problem of spectrum sensing in DSA/CR. The performance of energy detection, the most widely employed spectrum sensing technique in DSA/CR, is first assessed empirically. The outcome of this study motivates the development of a more accurate theoretical-empirical performance model as well as an improved energy detection scheme capable to outperform the conventional method while preserving a similar level of complexity, computational cost and application. The findings of these studies are finally applied in the third part of the dissertation to the development of innovative spectrum usage models for the time (in discrete- and continuous-time versions), frequency and space domains. The proposed models can been combined and integrated into a unified modeling approach where the time, frequency and space dimensions of spectrum usage can simultaneously be reproduced, thus providing a complete and holistic characterization of spectrum usage in real systems for the analysis, design and simulation of the future DSA/CR networks.

Radio spectrum is a vital national asset; proper management of this finite resource is essential to the operation and development of telecommunications, radio-navigation, radio astronomy, and passive remote sensing services. To maximize the utility of the radio spectrum, knowledge of its current usage is beneficial. As a result, several spectrum studies have been conducted in urban Atlanta, suburban Atlanta, and rural North Carolina. These studies improve upon past spectrum studies by resolving spectrum usage by nearly all its possible parameters: frequency, time, polarization, azimuth, and location type. The continuous frequency range from 400MHz to 7.2 GHz was measured with a custom-designed system. More than 8 billion spectrum measurements were taken over several months of observation. A multi-parameter spectrum usage detection method was developed and analyzed with data from the spectrum studies. This method was designed to exploit all the characteristics of spectral information that was available from the spectrum studies. Analysis of the spectrum studies showed significant levels of underuse. The level of spectrum usage in time and azimuthal space was determined to be only 6.5 % for the urban Atlanta, 5.3 % for suburban Atlanta, and 0.8 % for the rural North Carolina spectrum studies. Most of the frequencies measured never experienced usage. Interference was detected in several protected radio astronomy and sensitive radio navigation bands. A cognitive radio network architecture to share spectrum with fixed microwave systems was developed. The architecture uses a broker-based sharing method to control spectrum access and investigate interference issues.

L’objectif de cette thèse concerne l’allocation des canaux fréquentiels dans les réseaux ad hoc organisés en clusters. Les terminaux du réseau sont assemblés localement en clusters afin de garder les avantages des réseaux ad hoc tout en réduisant la quantité de signalisation nécessaire à son fonctionnement. Dans chaque cluster, un chef de cluster (CH en anglais) est désigné parmi les terminaux dont le rôle est de gérer localement les ressources ainsi que les communications. Un des problèmes concerne l'allocation des bandes de fréquence de manière distribuée à chaque cluster pour leur permettre d'opérer correctement. Les fréquences sont une ressource rare ce qui implique que plusieurs clusters sont amenés à utiliser les mêmes et donc à interférer entre eux. Le CH base ses décisions sur une fonction d'utilité qui prend en compte des mesures de performance des communications. Ces dernières peuvent être perturbées à cause des diverses variations dynamiques auxquels sont soumis les réseaux ad hoc. Parmi les algorithmes d'apprentissage distribués, nous avons identifié des méthodes basées sur le paradigme "d'essais erreur'' (TE en anglais) comme des solutions potentielles. Ces algorithmes ont la particularité d'avoir des propriétés de convergence globale intéressantes bien que le problème soit non coopératif.Dans un premier temps, nous avons étudié la convergence théorique de ces algorithmes en réalisant des approximations de chaînes de Markov dans des cas particuliers. Ensuite, nous avons montré théoriquement et numériquement que le principal défaut des approches TE est leur sensibilité aux variations aléatoires de la mesure d'utilité. Nous avons donc proposé des solutions, avec des preuves théoriques à l’appui, pour adapter ces algorithmes aux cas où l'utilité serait perturbée par des phénomènes aléatoires. Enfin, nous avons analysé de manière plus approfondie l’influence des évanouissements de Rayleigh sur les statistiques de l’utilité. / This thesis deals with the fully distributed allocation of channels in clustered ad hoc networks. Nodes are gathered locally into clusters in order to keep the advantage of the no infrastructure of ad hoc networks, and to reduce the amount of signalling. In each cluster a node is elected as the Clustered Head (CH) whose role is to manage the resources and the transmissions locally. One of the major problem is to allocate in a distributed way spectrum bands to the clusters in order to make them able to operate. Bandwidth is a scarce resource which implies that several clusters may use the same frequency and hence interfere among each other. The CH realizes the frequency allocation based on a utility function that uses measurements as inputs. These measurements are possibly disturbed due to the wide variety of dynamic changes that face ad hoc networks. Among the distributed learning algorithms, we have identified approaches based on "trial and error'' (TE) paradigm that could solve the channel allocation problem. These approaches possess very attractive global convergence behavior despite the non-cooperativeness of the problem and thus in a broad class of games.First, based on a specific utility model, we analyse the performance of these algorithms using Markov chains approximations in order to reduce numerical computations complexity. Then, we assess theoretically and numerically that a drawback of TE algorithms is their sensitivity to disturbances. We propose modifications with supporting theoretical proofs in order to adapt the TE algorithms to disturbances of the utility. Furthermore, we study the impact of Rayleigh fading on the utility by deriving its probability density function (pdf) in various contexts.

CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior / Over the last years, the wireless broadband access has achieved a tremendous success. With that, the telecommunications industry has faced very important changes in terms of technology, heterogeneity, kind of applications, and massive usage (virtual data tsunami) derived from the introduction of smartphones and tablets; or even in terms of market structure and its main players/actors. Nonetheless, it is well-known that the electromagnetic spectrum is a scarce resource, being already fully occupied (or at least reserved for certain applications). Tra- ditional spectrum markets (where big monopolies dominate) and static spectrum management originated a paradoxal situation: the spectrum is occupied without actually being used! In one hand, with the global transition from analog to digital Television (TV), part of the spectrum previously licensed for TV is freed and geographically interleaved, originating the consequent Television White Spaces (TVWS); on the other hand, the direct communications between devices, commonly referred as Device-to-Device (D2D) communications, are attracting crescent attention by the scientific community and industry in order to overcome the scarcity problem and satisfy the increasing demand for extra capacity. As such, this thesis is divided in two main parts: (a) Spectrum market for TVWS: where a SWOT analysis for the use of TVWS is performed giving some highlights in the directions/actions that shall be followed so that its adoption becomes effective; and a tecno-economic evaluation study is done considering as a use-case a typical European city, showing the potential money savings that operators may reach if they adopt by the use of TVWS in a flexible market manner; (b) D2D communications: where a neighbor discovery technique for D2D communications is proposed in the single-cell scenario and further extended for the multi-cell case; and an interference mitigation algorithm based on the intelligent selection of Downlink (DL) or Uplink (UL) band for D2D communications underlaying cellular networks. A summary of the principal conclusions is as follows: (a) The TVWS defenders shall focus on the promotion of a real-time secondary spectrum market, where through the correct implementation of policies for protection ratios in the spectrum broker and geo-location database, incumbents are protected against interference; (b) It became evident that an operator would recover its investment around one year earlier if it chooses to deploy the network following a flexible spectrum market approach with an additional TVWS carrier, instead of the traditional market; (c) With the proposed neighbor discovery technique the time to detect all neighbors per Mobile Station (MS) is significantly reduced, letting more time for the actual data transmission; and the power of MS consumed during the discovery process is also reduced because the main processing is done at the Base Station (BS), while the MS needs to ensure that D2D communication is possible just before the session establishment; (d) Despite being a simple concept, band selection improves the gains of cellular communications and limits the gains of D2D communications, regardless the position within the cell where D2D communications happen, providing a trade-off between system performance and interference mitigation. / Nos Ãltimos anos, o acesso de banda larga atingiu um grande sucesso. Com isso, a indÃstria das telecomunicaÃÃes passou por importantes transformaÃÃes em termos de tecnologia, heterogeneidade, tipo de aplicaÃÃes e uso massivo (tsunami virtual de dados) em consequÃncia da introduÃÃo dos smartphones e tablets; ou atà mesmo na estrutura de mercado e os seus principais jogadores/atores. PorÃm, à sabido que o espectro electromagnÃtico à um recurso limitado, estando jà ocupado (ou pelo menos reservado para alguma aplicaÃÃo). O mercado tradicional de espectro (onde os grandes monopÃlios dominam) e o seu gerenciamento estÃtico contribuÃram para essa situaÃÃo paradoxal: o espectro està ocupado mas nÃo està sendo usado! Por um lado, com a transiÃÃo mundial da TelevisÃo (TV) analÃgica para a digital, parte do espectro anteriormente licenciado para a TV à libertado e geograficamente multiplexado para evitar a interferÃncia entre sinais de torres vizinhas, dando origem a ÂespaÃos em branco na frequÃncia da TV ou Television White Spaces (TVWS); por outro lado, as comunicaÃÃes diretas entre usuÃrios, designadas por comunicaÃÃes diretas Dispositivo-a-Dispositivo (D2D), està gerando um crescente interesse da comunidade cientÃfica e indÃstria, com vista a ultrapassar o problema da escassez de espectro e satisfazer a crescente demanda por capacidade extra. Assim, a tese està dividida em duas partes principais: (a) Mercado de espectro eletromagnÃtico para TVWS: onde à feita uma anÃlise SWOT para o uso dos TVWS, dando direÃÃes/aÃÃes a serem seguidas para que o seu uso se torne efetivo; e um estudo tecno-econÃmico considerando como cenÃrio uma tÃpica cidade Europeia, onde se mostram as possÃveis poupanÃas monetÃrias que os operadores conseguem obter ao optarem pelo uso dos TVWS num mercado flexÃvel; (b) ComunicaÃÃes D2D: onde uma tÃcnica de descoberta de vizinhos para comunicaÃÃes D2D à proposta, primeiro para uma Ãnica cÃlula e mais tarde estendida para o cenÃrio multi-celular; e um algoritmo de mitigaÃÃo de interferÃncia baseado na seleÃÃo inteligente da banda Ascendente (DL) ou Descendente (UL) a ser reusada pelas comunicaÃÃes D2D que acontecem na rede celular. Um sumÃrio das principais conclusÃes à o seguinte: (a) Os defensores dos TVWS devem-se focar na promoÃÃo do mercado secundÃrio de espectro electromagnÃtico, onde atravÃs da correta implementaÃÃo de politicas de proteÃÃo contra a interferÃncia no broker de espectro e na base de dados, os usuÃrios primÃrio sÃo protegidos contra a interferÃncia; (b) Um operador consegue recuperar o seu investimento aproximadamente um ano antes se ele optar pelo desenvolvimento da rede seguindo um mercado secundÃrio de espectro com a banda adicional de TVWS, em vez do mercado tradicional; (c) Com a tÃcnica proposta de descoberta de vizinhos, o tempo de descoberta por usuÃrio à significativamente reduzido; e a potÃncia consumida nesse processo à tambÃm ela reduzida porque o maior processamento à feito na EstaÃÃo RÃdio Base (BS), enquanto que o usuÃrio sà precisa de se certificar que a comunicaÃÃo direta à possÃvel; (d) A seleÃÃo de banda, embora seja um conceito simples, melhora os ganhos das comunicaÃÃes celulares e limita os das comunicaÃÃes D2D, providenciando um compromisso entre a performance do sistema e a mitigaÃÃo de interferÃncia.