On the Second-Order Statistics of Correlated Cascaded Rayleigh Fading Channels

The second-order statistics of two correlated cascaded (double) Rayleigh fading channels are analyzed, where different relevant second-order cross-correlation functions of in-phase and quadrature components of the cascaded Rayleigh channels are derived. The level crossing rate (LCR) and average fade duration (AFD) of the cascaded channels are evaluated, and a single-integral form of the LCR is derived. Numerical results of the LCR and AFD are presented, and the effect of the correlation is illustrated

Contributions to the Performance Analysis of Intervehicular Communications Systems and Schemes

RÉSUMÉ Le but des systèmes de communication intervéhicule (Inter-Vehicle Communication – IVC) est d'améliorer la sécurité de conduite en utilisant des capteurs et des techniques de communication sans fil pour être en mesure de communiquer mutuellement sans aucune intervention extérieure. Avec l'utilisation de ces systèmes, les communications véhicule à véhicule (V2V) peuvent être plus efficaces dans la prévention des accidents et la décongestion de la circulation que si chaque véhicule travaillait individuellement. Une des solutions proposées pour les systèmes IVC est l’utilisation des systèmes de communication coopérative, qui en principe, augmentent l'efficacité spectrale et énergétique, la couverture du réseau, et réduit la probabilité de défaillance. La diversité d'antenne (entrées multiples sorties multiples « Multiple-Input Multiple-Output » ou MIMO) peut également être une alternative pour les systèmes IVC pour améliorer la capacité du canal et la diversité (fiabilité), mais en échange d’une complexité accrue. Toutefois, l'application de telles solutions est difficile, car les communications sans fil entre les véhicules sont soumises à d’importants effets d'évanouissements des canaux appelés (canaux sujets aux évanouissements de n*Rayleigh, « n*Rayleigh fading channels»), ce qui conduit à la dégradation des performances. Par conséquent, dans cette thèse, nous proposons une analyse de la performance globale des systèmes de transmission coopératifs et MIMO sur des canaux sujets aux évanouissements de n*Rayleigh. Cette analyse permettra d’aider les chercheurs pour la conception et la mise en œuvre de systèmes de communication V2V avec une complexité moindre. En particulier, nous étudions d'abord la performance de la sélection du relais de coopération avec les systèmes IVC, on suppose que la transmission via « Amplify-and-Forward» (AF) ou bien «Decode-and-Forward» (DF) est assurée par N relais pour transférer le message de la source à la destination. La performance du système est analysée en termes de probabilité de défaillance, la probabilité d'erreur de symbole, et la capacité moyenne du canal. Les résultats numériques démontrent que la sélection de relais réalise une diversité de l'ordre de (d≈mN/n) pour les deux types de relais, où m est un paramètre évanouissement de Rayleigh en cascade. Nous étudions ensuite la performance des systèmes IVC à sauts multiples avec et sans relais régénératifs. Dans cette étude, nous dérivons des expressions approximatives pour la probabilité de défaillance et le niveau d’évanouissement lorsque la diversité en réception basée sur le ratio maximum de combinaison (MRC) est employée. En outre, nous analysons la répartition de puissance pour le système sous-jacent afin de minimiser la probabilité globale de défaillance. Nous montrons que la performance des systèmes régénératifs est meilleure que celle des systèmes non régénératifs lorsque l’ordre de cascade n est faible, tandis qu’ils ont des performances similaires lorsque n est élevé. Ensuite, nous considérons le problème de la détection de puissance des signaux inconnus aux n* canaux de Rayleigh. Dans ce travail, de nouvelles expressions approximatives sont dérivées de la probabilité de détection moyenne avec et sans diversité en réception MRC. En outre, la performance du système est analysée lorsque la détection de spectre coopérative (CSS) est considérée sous diverses contraintes de canaux (par exemple, les canaux de communication parfaits et imparfaits). Les résultats numériques ont montré que la fiabilité de détection diminue à mesure que l'ordre n augmente et s’améliore sensiblement lorsque CSS emploie le schéma MRC. Il est démontré que CSS avec le schéma MRC maintient la probabilité de fausse alarme minimale dans les canaux d’information imparfaite plutôt que d'augmenter le nombre d'utilisateurs en coopération. Enfin, nous présentons une nouvelle approche pour l'analyse des performances des systèmes IVC sur n*canaux de Rayleigh, en utilisant n_T antennes d'émission et n_R antennes de réception pour lutter contre l'effet d’évanouissement. Dans ce contexte, nous évaluons la performance des systèmes MIMO-V2V basés sur la sélection des antennes d'émission avec un ratio maximum de combinaison (TAS/MRC) et la sélection combinant (TAS/SC). Dans cette étude, nous dérivons des expressions analytiques plus précises pour la probabilité de défaillance, la probabilité d'erreur de symbole, et l’évanouissement sur n*canaux Rayleigh. Il est montré que les deux régimes ont le même ordre de diversité maximale équivalent à (d≈mn_T n_R /n) . En outre, TAS / MRC offre un gain de performance mieux que TAS/ SC lorsque le nombre d'antennes de réception est plus que celle des antennes d’émission, mais l’amélioration de la performance est limitée lorsque n augmente.----------Abstract The purpose of intervehicular communication (IVC) systems is to enhance driving safety, in which vehicles use sensors and wireless communication techniques to talk to each other without any roadside intervention. Using these systems, vehicle-to-vehicle (V2V) communications can be more effective in avoiding accidents and traffic congestion than if each vehicle works individually. A potential solution can be implemented in this research area using cooperative communications systems which, in principle, increase spectral and power efficiency, network coverage, and reduce the outage probability. Antenna diversity (i.e., multiple-input multiple output (MIMO) systems) can also be an alternative solution for IVC systems to enhance channel capacity and diversity (reliability) but in exchange of an increased complexity. However, applying such solutions is challenging since wireless communications among vehicles is subject to harsh fading channels called ‘n*Rayleigh fading channels’, which leads to performance degradation. Therefore, in this thesis we provide a comprehensive performance analysis of cooperative transmission and MIMO systems over n*Rayleigh fading channels that help researchers for the design and implementation of V2V communication systems with lower complexity. Specifically, we first investigate the performance of cooperative IVC systems with relay selection over n*Rayleigh fading channels, assuming that both the decode-and-forward and the amplify-and-forward relaying protocols are achieved by N relays to transfer the source message to the destination. System performance is analyzed in terms of outage probability, symbol error probability, and average channel capacity. The numerical results have shown that the best relay selection approach achieves the diversity order of (d≈mN/n) where m is a cascaded Rayleigh fading parameter. Second, we investigate the performance of multihop-IVC systems with regenerative and non-regenerative relays. In this study, we derive approximate closed-form expressions for the outage probability and amount of fading when the maximum ratio combining (MRC) diversity reception is employed. Further, we analyze the power allocation for the underlying scheme in order to minimize the overall outage probability. We show that the performance of regenerative systems is better than that of non-regenerative systems when the cascading order n is low and they have similar performance when n is high. Third, we consider the problem of energy detection of unknown signals over n*Rayleigh fading channels. In this work, novel approximate expressions are derived for the average probability of detection with and without MRC diversity reception. Moreover, the system performance is analyzed when cooperative spectrum sensing (CSS) is considered under various channel constraints (e.g, perfect and imperfect reporting channels). The numerical results show that the detection reliability decreases as the cascading order n increases and substantially improves when CSS employs MRC schemes. It is demonstrated that CSS with MRC scheme keeps the probability of false alarm minimal under imperfect reporting channels rather than increasing the number of cooperative users. Finally, we present a new approach for the performance analysis of IVC systems over n*Rayleigh fading channels, using n_T transmit and n_R receive antennas to combat fading influence. In this context, we evaluate the performance of MIMO-V2V systems based on the transmit antenna selection with maximum ratio combining (TAS/MRC) and selection combining (TAS/SC) schemes. In this study, we derive tight analytical expressions for the outage probability, the symbol error probability, and the amount of fading over n*Rayleigh fading channels. It is shown that both schemes have the same maximum diversity order equivalent to (d≈mn_T n_R /n). In addition, TAS/MRC offers a better performance gain than TAS/SC scheme when the number of receive antennas is more than that of transmit antennas, but the performance improvement is limited as n increases

Second Order Statistics of -Fisher-Snedecor Distribution and Their Application to Burst Error Rate Analysis of Multi-Hop Communications

An advantage of using the composite fading models (CFMs) is their ability to concurrently address the impact of multi-path and shadowing phenomena on the system performance in wireless communications. A Fisher-Snedecor (FS) F CFM has been recently proposed as an experimentally verified and tractable fading model that can be efficiently applied for 5G and beyond 5G wireless communication systems. This paper provides second-order (s-order) performance analysis of the product of N independent but not identically distributed (i.n.i.d) FS F random variables (RVs). In particular, accurate and closedform approximations for level crossing rate (LCR) and average fade duration (AFD) of the product of N i.n.i.d FS F(N-FS F) RVs are successfully derived by exploiting a general property of a Laplace approximation method for evaluation of the N -folded integral-form LCR expression. Based on the obtained s-order statistical results, the burst error rate and maximum symbol rate of the N -FS F distribution are addressed and thoroughly examined. The numerical results of the considered performance measures are discussed in relation to the N-FS F multi-path and shadowing severity parameters. Moreover, the impact of the number of hops (N) of the N -FS F CFM on the s-order metrics, the burst error rate and maximum symbol rate are numerically evaluated and investigated. The derived s-order statistical results can be used to address the cooperative relay-assisted (RA) communications for vehicular systems. Monte-Carlo (M - C) simulations for the addressed statistical measures are developed in order to confirm the provided theoretical results.This work was supported in part by UC3M and the European Union's Horizon 2020 Programme under the Marie Sklodowska-Curie Grant through the CONEX-Plus Project under Agreement 801538; in part by the IRENE-EARTH Project under Grant PID2020-115323RB-C33/AEI/10.13039/501100011033; in part by ERDF and the Spanish Government Projects under Grant PID2019-106808RA-I00 AEI/FEDER, UE; in part by CDTI Cervera Project INTEGRA under Grant CER-20211031; in part by the Secretaria d'Universitats i Recerca de la Generalitat de Catalunya under Project 2017-SGR-00376 and Project Fem IoT under Grant 001-P-001662; in part by the European Commission Project CPSoSaware; and in part by the Cost Actions under Grant CA19111, Grant CA20120, and Grant CA16220.Publicad

Design Of Vehicular Communication Systems Employing Physical Layer Network Coding Over Cascaded Fading Channels

Tez (Doktora) -- İstanbul Teknik Üniversitesi, Fen Bilimleri Enstitüsü, 2017Thesis (Ph.D.) -- İstanbul Technical University, Institute of Science and Technology, 2017İnsandan insana ses taşıma odaklı ikinci nesil (2nd Generation, 2G) mobil haberleşme teknolojilerinin kaydettiği başarıdan sonra telsiz iletişim alanındaki eğilimler insandan-makinaya olarak adlandırılan veri taşıma odaklı telsiz iletişim teknolojilerine (3rd Generation, 3G) doğru yönelmiştir. Bu veri taşıma odaklı iletişim konsepti ile birlikte son kullanıcılar multi-media mesajlaşma, internet erişimi, e-ticaret ve video paylaşımı gibi çok çeşitli telsiz iletişim servislerine kavuşma imkanı buldular. Telsiz iletişimdeki başarılı ve hızlı ilerlemenin bir sonucu olarak günümüzde bu alanda yapılan araştırma-geliştirme çalışmalarının yönü yüksek veri iletim hızları (>100Mb/s) ve daha yüksek bant-verimliliği (>10b/s) gerektiren makineden-makineye (Mactine-to-Machine, M2M) telsiz iletişime doğru yönelmiş bulunmaktadır. M2M telsiz iletişiminde bir araştırma/uygulama alanı araçtan-nesnelere (Vehicle-to-things, V2X) haberleşmedir. Araçtan araca (Vehicle-to-Vehicle, V2V) ve araçtan yol kenarındaki baz istasyonuna (Vehicle-to-Infrastructure, V2I) olmak üzere iki haberleşme sistemini birlikte içeren V2X haberleşme sistemleri günümüzde özellikle büyük metropollerde günlük hayatı pek çok yönden olumsuz etkileyen trafik kaynaklı problemlere karşı getirdiği çözüm önerileri nedeniyle üniversitlerde teorik çalışmalar yapan araştırmacıların yanı sıra, resmi kurumların, standartları belirleyen organizasyonların ve özellille otomotiv ve bilişim endüstrisindeki şirketlerin gittikçe artan dikkatini çekmeyi başarmıştır. Araçlar arası haberleşme teknolojilerinin gelişimine ivme kazandıran önemli gelişmelere bakılacak olursa; 1999 yılında ABD’de Federal Communication Comission (FCC) 5.9GHz frekans bandında 75MHz’lik bir frekans bandının V2X haberleşme için kullanımını onaylamıştır. 2008 yılında ise Avrupa haberleşme standardları enstitüsü (European Telecommunication Standards Institute) yine 5.9GHz frekans bandında 30Mhz’lik bir bandın bu amaçla kullanılmasını önermiştir. FCC’nin 2003 yılında ITS (Intelligent Transportation Systems) uygulamalarında kullanılacak haberleşme birimleri için yayımladığı rapor ve talebin ardından DSRC (Dedicated Short Range Communication) olarak adlandırılan V2X haberleşme sistemlerinin standardizasyonu için çalışmalar başlamış ve 2004 yılında IEEE 802.11standardı temel alınarak geliştirilen IEEE 802.11p standardı WAVE (Wireless Access in Vehicular Environments) olarak da bilinen adıyla 2010 yılında kabul edilmiştir. Bugün artık pek çok üniversitede çeşitli araştırma grupları V2X haberleşme üzerine akademik çalışmalar yürütürken endüstriyel seviyede ise Avrupa’da örneğin büyük ölçekli Avrupa Birliği projeleri olarak CAR2CAR Communication Corsortium, Secure Vehicular Communication ve NEARCTIS yürütülmektedir. Amerika’da ise ulaştırma bakanlığının desteklediği IntelliDrive projesi ile güvenlik, mobil iletişim ve çevre koruma amaçlı hedefler doğrultusunda trafik altyapısı, araçlar ve yolcuların mobil haberleşme cihazları arasında haberleşmeyi sağlayacak bir telsiz iletişim ağı alt yapısı kurma çalışmaları sürdürülmektedir. Benzer çalışmalar Japon Otomobil Teknolojileri Araştırma Enstitüsü JARI tarafından da yapılmaktadır. Yine V2V haberleşmenin trafik güvenliğini arttırmadaki öneminin anlaşılmasından sonra lider otomobil üreticisi firmalar “Crash Avoidance Metrics Partnership” adını verdikleri proje için ortak çatı altında biraraya gelmişlerdir. Kısaca belirtilmek istenirse, telsiz iletişim alanında V2X haberleşme yeni ama oldukça önemli bir çalışma alanı olarak görülmektedir. Günümüz telsiz haberleşme teknolojilerinden biri olan araçtan araca haberleşme, trafik verimliliğini arttırma, kazaların azaltılması ve trafikte güvenli sürüş konulara çözümler sağlayacak akıllı taşıma sistemlerinin gerçeklenmesinde çekirdek teknoloji konumundadır. Hücresel haberleşme ile karşılaştırıldığında, V2V haberleşme bazı yeni zorlukları içerir. V2V haberleşme kanallarının istatistiksel özellikleri hücresel telsiz haberleşme kanallarının istatistiksel özelliklerinden farklıdır. Bu nedenle, Rayleigh, Rician ve Nakagami-m gibi iyi bilinen hücresel haberleşme kanal modelleri V2V haberleşme kanallarındaki sönümlemeyi modellemek için uygun değildir. Yapılan saha ölçümlerinden görüldüğü üzere, V2V haberleşme kanallarında kanal kazancı, hareketli kaynaklar etrafında, her biri ayrı bir işaret kaynağı gibi davranan birbirinden bağımsız saçıcı gupların oluşturduğu sanal kanalların kanal kazançlarının çarpımından meydana gelmektedir. Kanal kazancının bu çarpımsallık niteliğinden dolayı V2V haberleşme kanalları kaskad sönümlemeli kanal modeli olarak adlandırılan bir grup kanal modeli ile modellenmelidirler. V2V haberleşmede karşılaşılan zorlukların bir nedeni, gerek haberleşen araçların gerekse onların etrafındaki diğer araçların yüksek hızlardaki hareketliliği nedeniyle haberleşme ortamının çevresel olarak çok hızlı değişmesidir. Bunun yanısıra araç antenlerinin görece düşük yükseklikte olmasının da etkisiyle, özellikle yerleşim birimleri içindeki yoğun trafik şartları düşünüldüğünde, haberleşen araçlar arasında çoğu zaman doğrudan görüş olmayacaktır. Bu da iletişimin sürekliliği ve güvenilirliği açısından işbirlikli haberleşmeyi kaçınılmaz kılmaktadır. Ancak doğrudan haberleşmeye nazaran daha fazla zaman dilimi gereksinimi işbirlikli sistemlerin temel dezavantajıdır. Veri iletim hızında kayba neden olan bu dezavantajı yok etmenin bir yolu, iki haberleşme biriminin aynı zaman aralığında aynı röle üzerinden veri aktarmasına imkan tanıyan fiziksel katman ağ kodlama (Physical Layer Network Coding, PLNC) tekniğidir. Ani gelişen durumların çok sayıda kullanıcıya kısa sürede bildirilmesini gerektirecek trafik içi haberleşmede PLNC tekniği yüksek başarımlı V2V haberleşme sistemlerinin tasarımında önemli bir rol oynayacaktır. Bu tezde sunulan çalışmalar üç grupta ele alınabilir. Birinci gruptaki ilk çalışmada tek antenli tek röleli ve röle üzerinde sabit kazançlı kuvvetlendir-ve-aktar tekniği kullanılarak PLNC yapılan bir işbirlikli V2V haberleşme sistemi tasarlanmıştır. Sistemin performans analizleri kaskad Nakagami-m kanal modeli varsayımı altında yapılmış olup bu kanal modeli, araçlar arası haberleşmeye uygun olan çift Rayleigh, kaskad Rayleigh, çift Nakagami-m ve genelleştirilmiş-K kanal modellerinin yanı sıra geleneksel hücresel haberleşme kanal modellerini de kapsamaktadır. Dolayısıyla bu çalışmada elde edilen sonuçlar bu kanal modelleri için de geçerlidir. Sistemin hata performans analizleri yapılırken öncelikle uçtan-uca işaret gürültü oranına ait birikimsel olasılık dağılım fonksiyonu kapalı formda elde edilmiş, ardından bu dağılım fonksiyonu kullanılarak sistemin servis kesinti olasılığı ve çeşitli modülasyon tipleri için sembol hata olasılığı ifadeleri kapalı formda bulunmuştur. Bu analizlerin bir devamı olarak, birinci grupta yapılan ikinci çalışmada ise, kaynaklarda öz-girişim işaretinin tam olarak yok edilemediği durumlar için yine tek antenli tek röleli rölede sabit kazançlı kuvvetlendir-ve-aktar tekniği kullanılarak PLNC yapılan sistemin performans analizi kaskad ve hızlı sönümlemeli Rayleigh kanal varsayımı altında yapılmış ve sisteme ait servis kesinti olasılığı ifadesi kapalı formda elde edilerek öz girişimin sistem performansına etkileri incelenmiştir. Tezde yer alan ikinci grup çalışmada, çok girişli çok çıkışlı (multiple input multiple output, MIMO) bir V2V haberleşme sistemi tasarlanmıştır. Sistemde birden çok röle olup kaynaklar ve tüm röleler çok antenlidir. Ayrıca röleler değişken kazançlı kuvvetlendir-ve-aktar tekniği uygulayarak PLNC yapmaktadır. Bu çalışmada da kaskad Nakagami-m kanal modeli kullanıldığından elde edilen sonuçlar yukarıda bahsedilen diğer kaskad veya kaskad olmayan kanal modelleri için de geçerlidir. Burada yapılan analizler ile tüm sistemin servis kesinti performansı kaynakların ortak servis kesinti olasılıkları cinsinden ifade edilerek bu olasılık tek katlı integral formunda bulunmuştur. Ardından servis kesinti olasılığı için alt ve üst sınır ifadeleri kapalı formda elde edilmiştir. Bulunan sınır ifadeleri aracılığıyla sistemde elde edilebilecek çeşitleme derecesi, röle sayısı, kaynak ve rölelerde kullanılan anten sayıları ve kanalların kaskadlık dereceleri ve sönümleme parametrelerinin aldığı değerlere bağlı olarak sistem parametreleri cinsinden ifade edilmiştir. Tasarlanan bu sistem ile ortak anten ve röle seçimi yapılarak V2V haberleşme sistemlerinin performansının daha da iyileştirilebileceği gösterilmiştir. Tezde yapılan üçüncü çalışmada PLNC yapılan bir çok antenli çok röleli V2V haberleşme sisteminde uzay-zaman kafes kodlama tekniği kullanılarak sistem performansının daha da iyileştirilmesi sağlanmıştır. Bu amaçla öncelikle sistemin çiftsel hata olasılığı için bir üst sınır ifadesi çift Rayleigh sönümlemeli kanal varsayımı için elde edilmiştir. Daha sonra bu olasılığı en küçük yapacak kodların inşaası için yeni bir kod tasarım ölçütü türetilmiş ve bu ölçüt kullanılarak çift Rayleigh sönümlemeli kanallarda PLNC tekniği kullanan MIMO V2V haberleşme sistemler için 4 ve 8 durumlu yeni uzay-zaman kafes kodları bulunmuştur.As a current state-of-the-art in wireless communications, Vehicle-to-Vehicle (V2V) communications is the core technology to build the intelligent transportation infrastructures promising the solutions to the issues such as traffic efficiency increasing, accident reduction and safety improvements. In comparison with the cellular wireless communication, there are some new challenges within the V2V communication. The statistical properties of the V2V communication channels differ from those of the cellular channels. Thereby, well known cellular channel models such as Rayleigh, Rician and Nakagami-m are not appropriate to simulate the fading in V2V communication channels. Field measurements reveal that V2V communication channels can be modeled by a class of channel models where the gain is obtained by multiplying the gains of virtual channels produced by each individual scattering group around that behaves as an independent signal source. Due to their multiplicativity nature, V2V communication channels are named as cascaded fading channels. A major challenge in V2V communications is that the physical environment is unsettled due to the mobility of the wireless units and other vehicles around these units. Additionally, the vehicle antennas have relatively lower heights. Therefore, especially considering the traffic in urban areas, most of the time there will be no line-of-sight between the communicating vehicles. This makes cooperative communications inevitable for seamless and reliable communication among the moving vehicles. And yet, compared to non-cooperative communication, the cooperation protocols require more time slots, which results in a decrease in data transmission rate. A method to cope with this drawback is physical layer network coding (PLNC) providing the simultaneous data transmissions of the vehicles via the same relay. The PLNC method will play an important role in the design of the high performance V2V communication systems serving in the heavy traffic conditions when a large number of users need to be notified about suddenly changing situations. Studies presented in this thesis can be divided into three categories. In the first category, a cooperative V2V communication system employing PLNC using fixed gain amplify-and-forward technique is proposed and its outage and error performance analysis is investigated. Analytic results are derived under the cascaded Nakagami-m fading channel model assumption covering double Rayleigh, cascaded Rayleigh, double Nakagami-m, generalized-K and conventional cellular channel models as well. Therefore, the results obtained by this work are also valid for all these channel models. In the error performance investigation of the proposed system, first, exact cumulative density function of the end to end signal to noise ratio is derived. Then, using this cumulative density function, the exact closed-form outage probability is obtained. Then the exact closed-form symbol error rate expression for various modulation types is derived. As a continuation of this work, the performance analysis of the same system is investigated for not only cascaded but also fast fading Rayleigh channels in the presence of the self-interference. Thus the exact closed-form outage probability expression is obtained, and it is shown that the self-interference may cause the error floor in the performance of the network coded communication systems. In the second category, a multiple input multiple output (MIMO) V2V communication system is proposed. In this proposed system, all source and relay vehicles have multiple antennas while the relays employ the PLNC method using variable gain amplify-and-forward technique. The analytic results are derived for the cascaded Nakagami-m fading channels, and therefore the result of this work are held for the cascaded and non-cascaded channels, as mentioned above. Furthermore, the performance of the system is evaluated in terms of joint outage probability of the sources, and the exact outage probability expression is obtained in a single integral form while the upper and the lower bounds of the outage probability are obtained in the closed-form. Moreover, asymptotic diversity order is quantified as a function of the number of the relays, the number of the antennas at the sources and the relays, and the channel parameters which are cascading degree and fading parameter values. Within this system, it is shown that the service outage probability performance can be enhanced by employing joint antenna and relay selection. In the third category, PLNC and space-time trellis coding (STTC) techniques are combined to improve the error performance of a multi-antenna multi-relay V2V system. The upper bound expression of the pairwise error probability of the system is evaluated for double Rayleigh fading channels. Then using the upper bound expression, a novel code-design criterion is derived for cascaded fading channels. Then, by using this new criterion, a novel STTCs with 4 and 8 states are proposed for MIMO V2V PLNC systems.DoktoraPh.D

Composite and Cascaded Generalized-K Fading Channel Modeling and Their Diversity and Performance Analysis

The introduction of new schemes that are based on the communication among nodes has motivated the use of composite fading models due to the fact that the nodes experience different multipath fading and shadowing statistics, which subsequently determines the required statistics for the performance analysis of different transceivers. The end-to-end signal-to-noise-ratio (SNR) statistics plays an essential role in the determination of the performance of cascaded digital communication systems. In this thesis, a closed-form expression for the probability density function (PDF) of the end-end SNR for independent but not necessarily identically distributed (i.n.i.d.) cascaded generalized-K (GK) composite fading channels is derived. The developed PDF expression in terms of the Meijer-G function allows the derivation of subsequent performance metrics, applicable to different modulation schemes, including outage probability, bit error rate for coherent as well as non-coherent systems, and average channel capacity that provides insights into the performance of a digital communication system operating in N cascaded GK composite fading environment. Another line of research that was motivated by the introduction of composite fading channels is the error performance. Error performance is one of the main performance measures and derivation of its closed-form expression has proved to be quite involved for certain systems. Hence, in this thesis, a unified closed-form expression, applicable to different binary modulation schemes, for the bit error rate of dual-branch selection diversity based systems undergoing i.n.i.d. GK fading is derived in terms of the extended generalized bivariate Meijer G-function

Physical-Layer Security in Cognitive Radio Networks

The fifth-generation (5G) communications and beyond are expected to serve a huge number of devices and services. However, due to the fixed spectrum allocation policies, the need for cognitive radio networks (CRNs) has increased accordingly. CRNs have been proposed as a promising approach to address the problem of under-utilization and scarcity of the spectrum. In CRNs, secondary users (SUs) access the licensed spectrum of the primary users (PUs) using underlay, overlay, or interweave paradigms. SUs can access the spectrum band simultaneously with the PUs in underlay access mode provided that the SUs’ transmission power does not cause interference to the PUs’ communication. In this case, SUs should keep monitoring the interference level that the PU receiver can tolerate and adjust the transmission power accordingly. However, varying the transmission power may lead to some threats to the privacy of the information transfer of CRNs. Therefore, securing data transmission in an underlay CRN is a challenge that should be addressed. Physical-layer security (PLS) has recently emerged as a reliable method to protect the confidentiality of the SUs’ transmission against attacks, especially for the underlay model with no need for sharing security keys. Indeed, PLS has the advantage of safeguarding the data transmission without the necessity of adding enormous additional resources, specifically when there are massively connected devices. Apart from the energy consumed by the various functions carried out by SUs, enhancing security consumes additional energy. Therefore, energy harvesting (EH) is adopted in our work to achieve both; energy efficiency and spectral efficiency. EH is a significant breakthrough for green communication, allowing the network nodes to reap energy from multiple sources to lengthen battery life. The energy from various sources, such as solar, wind, vibration, and radio frequency (RF) signals, can be obtained through the process of EH. This accumulated energy can be stored to be used for various processes, such as improving the users’ privacy and prolonging the energy-constrained devices’ battery life. In this thesis, for the purpose of realistic modelling of signal transmission, we explicitly assume scenarios involving moving vehicles or nodes in networks that are densely surrounded by obstacles. Hence, we begin our investigations by studying the link performance under the impact of cascaded κ−μ fading channels. Moreover, using the approach of PLS, we address the privacy of several three-node wiretap system models, in which there are two legitimate devices communicating under the threat of eavesdroppers. We begin by a three-node wiretap system model operating over cascaded κ − μ fading channels and under worst-case assumptions. Moreover, assuming cascaded κ − μ distributions for all the links, we investigate the impact of these cascade levels, as well as the impact of multiple antennas employed at the eavesdropper on security. Additionally, the PLS is examined for two distinct eavesdropping scenarios: colluding and non-colluding eavesdroppers. Throughout the thesis, PLS is mainly evaluated through the secrecy outage probability (SOP), the probability of non-zero secrecy capacity (Pnzcr ), and the intercept probability (Pint). Considering an underlay CRN operating over cascaded Rayleigh fading channel, with the presence of an eavesdropper, we explore the PLS for SUs in the network. This study is then extended to investigate the PLS of SUs in an underlay single-input-multiple-output (SIMO) CRN over cascaded κ-μ general fading channels with the presence of a multi-antenna eavesdropper. The impact of the constraint over the transmission power of the SU transmitter due to the underlay access mode is investigated. In addition, the effects of multiple antennas and cascade levels over security are well-explored. In the second part of our thesis, we propose an underlay CRN, in which an SU transmitter communicates with an SU destination over cascaded κ-μ channels. The confidentiality of the shared information between SUs is threatened by an eavesdropper. Our major objective is to achieve a secured network, while at the same time improving the energy and spectrum efficiencies with practical modeling for signals’ propagation. Hence, we presume that the SU destination harvests energy from the SU transmitter. The harvested energy is used to produce jamming signals to be transmitted to mislead the eavesdropper. In this scenario, a comparison is made between an energy-harvesting eavesdropper and a non-energy harvesting one. Additionally, we present another scenario in which cooperative jamming is utilized as one of the means to boost security. In this system model, the users are assumed to communicate over cascaded Rayleigh channels. Moreover, two scenarios for the tapping capabilities of the eavesdroppers are presented; colluding and non-colluding eavesdroppers. This study is then extended for the case of non-colluding eavesdroppers, operating over cascaded κ-μ channels. Finally, we investigate the reliability of the SUs and PUs while accessing the licensed bands using the overlay mode, while enhancing the energy efficiency via EH techniques. Hence, we assume that multiple SUs are randomly distributed, in which one of the SUs is selected to harvest energy from the PUs’ messages. Then, utilizing the gathered energy, this SU combines its own messages with the amplified PUs messages and forwards them to the destinations. Furthermore, we develop two optimization problems with the potential of maximizing the secondary users’ rate and the sum rate of both networks

Statistical analysis of the capacity of mobile radio channels

Doktorgradsavhandling i informasjons- og kommunikasjonsteknologi, Universitetet i Agder, Grimstad, 201

Exploiting diversity in wireless channels with bit-interleaved coded modulation and iterative decoding (BICM-ID)

This dissertation studies a state-of-the-art bandwidth-efficient coded modulation technique, known as bit interleaved coded modulation with iterative decoding (BICM-ID), together with various diversity techniques to dramatically improve the performance of digital communication systems over wireless channels. For BICM-ID over a single-antenna frequency non-selective fading channel, the problem of mapping over multiple symbols, i.e., multi-dimensional (multi-D) mapping, with 8-PSK constellation is investigated. An explicit algorithm to construct a good multi-D mapping of 8-PSK to improve the asymptotic performance of BICM-ID systems is introduced. By comparing the performance of the proposed mapping with an unachievable lower bound, it is conjectured that the proposed mapping is the global optimal mapping. The superiority of the proposed mapping over the best conventional (1-dimensional complex) mapping and the multi-D mapping found previously by computer search is thoroughly demonstrated. In addition to the mapping issue in single-antenna BICM-ID systems, the use of signal space diversity (SSD), also known as linear constellation precoding (LCP), is considered in BICM-ID over frequency non-selective fading channels. The performance analysis of BICM-ID and complex N-dimensional signal space diversity is carried out to study its performance limitation, the choice of the rotation matrix and the design of a low-complexity receiver. Based on the design criterion obtained from a tight error bound, the optimality of the rotation matrix is established. It is shown that using the class of optimal rotation matrices, the performance of BICM-ID systems over a frequency non-selective Rayleigh fading channel approaches that of the BICM-ID systems over an additive white Gaussian noise (AWGN) channel when the dimension of the signal constellation increases. Furthermore, by exploiting the sigma mapping for any M-ary quadrature amplitude modulation (QAM) constellation, a very simple sub-optimal, yet effective iterative receiver structure suitable for signal constellations with large dimensions is proposed. Simulation results in various cases and conditions indicate that the proposed receiver can achieve the analytical performance bounds with low complexity. The application of BICM-ID with SSD is then extended to the case of cascaded Rayleigh fading, which is more suitable to model mobile-to-mobile communication channels. By deriving the error bound on the asymptotic performance, it is first illustrated that for a small modulation constellation, a cascaded Rayleigh fading causes a much more severe performance degradation than a conventional Rayleigh fading. However, BICM-ID employing SSD with a sufficiently large constellation can close the performance gap between the Rayleigh and cascaded Rayleigh fading channels, and their performance can closely approach that over an AWGN channel. In the next step, the use of SSD in BICM-ID over frequency selective Rayleigh fading channels employing a multi-carrier modulation technique known as orthogonal frequency division multiplexing (OFDM) is studied. Under the assumption of correlated fading over subcarriers, a tight bound on the asymptotic error performance for the general case of applying SSD over all N subcarriers is derived and used to establish the best achievable asymptotic performance by SSD. It is then shown that precoding over subgroups of at least L subcarriers per group, where L is the number of channel taps, is sufficient to obtain this best asymptotic error performance, while significantly reducing the receiver complexity. The optimal joint subcarrier grouping and rotation matrix design is subsequently determined by solving the Vandermonde linear system. Illustrative examples show a good agreement between various analytical and simulation results. Further, by combining the ideas of multi-D mapping and subcarrier grouping, a novel power and bandwidth-efficient bit-interleaved coded modulation with OFDM and iterative decoding (BI-COFDM-ID) in which multi-D mapping is performed over a group of subcarriers for broadband transmission in a frequency selective fading environment is proposed. A tight bound on the asymptotic error performance is developed, which shows that subcarrier mapping and grouping have independent impacts on the overall error performance, and hence they can be independently optimized. Specifically, it is demonstrated that the optimal subcarrier mapping is similar to the optimal multi-D mapping for BICM-ID in frequency non-selective Rayleigh fading environment, whereas the optimal subcarrier grouping is the same with that of OFDM with SSD. Furthermore, analytical and simulation results show that the proposed system with the combined optimal subcarrier mapping and grouping can achieve the full channel diversity without using SSD and provide significant coding gains as compared to the previously studied BI-COFDM-ID with the same power, bandwidth and receiver complexity. Finally, the investigation is extended to the application of BICM-ID over a multiple-input multiple-output (MIMO) system equipped with multiple antennas at both the transmitter and the receiver to exploit both time and spatial diversities, where neither the transmitter nor the receiver knows the channel fading coefficients. The concentration is on the class of unitary constellation, due to its advantages in terms of both information-theoretic capacity and error probability. The tight error bound with respect to the asymptotic performance is also derived for any given unitary constellation and mapping rule. Design criteria regarding the choice of unitary constellation and mapping are then established. Furthermore, by using the unitary constellation obtained from orthogonal design with quadrature phase-shift keying (QPSK or 4-PSK) and 8-PSK, two different mapping rules are proposed. The first mapping rule gives the most suitable mapping for systems that do not implement iterative processing, which is similar to a Gray mapping in coherent channels. The second mapping rule yields the best mapping for systems with iterative decoding. Analytical and simulation results show that with the proposed mappings of the unitary constellations obtained from orthogonal designs, the asymptotic error performance of the iterative systems can closely approach a lower bound which is applicable to any unitary constellation and mapping