418 research outputs found

    Performance investigation of spatial modulation systems under realistic channel models

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    In order to fulfil the explosive demand for convenient wireless data access, novel wireless technologies such as the multiple-input-multiple-output (MIMO) have widely been used to improve the link reliability and capacity of wireless communication systems. In recent years, a new MIMO technology named the spatial modulation (SM) has attracted signi cant research interest due to its reported enhancement on the system performance with the reasonable system complexity. Before a new technology comes into real use, it is necessary to comprehensively evaluate its performance under different scenarios. In this thesis, we investigate the performance of SM systems under some important realistic scenarios for future wireless communications, such as the vehicle-to-vehicle (V2V), the high-speed train (HST), and the massive MIMO scenarios. Firstly, the bit error rate (BER) performance of SM systems under a novel threedimensional (3D) geometry based stochastic model (GBSM) for V2V MIMO channels is investigated by both theoretical analysis and system simulations. The impacts of vehicle tra c density (VTD), Doppler effect, and 3D feature on the BER performance of SM systems are thoroughly studied. In addition, other MIMO technologies, such as the vertical Bell Labs layered space-time (V-BLAST), the Alamouti scheme are compared with SM under different simulation settings. Secondly, the BER performance of SM systems is studied under a non-stationary wideband HST GBSM considering the non-ideal channel estimation case. The timevarying behaviour of the channel and its impact on the performance of SM systems are comprehensively investigated. The accurate theoretical BER expression of SM systems under a non-stationary wideband HST channels with non-ideal channel estimation is derived. A novel statistic property named stationary interval in terms of the space-time correlation function (STCF) is introduced in order to clearly explain all theoretical and simulation results. Thirdly, the performance of SM systems is evaluated under a Kroneck-based massive MIMO channel model. As a massive MIMO system employs large numbers of antennas, antenna elements are distributed over a wide range. Thus, different antenna elements may observe different sets of clusters. How this phenomenon affects the performance of SM systems is investigated by considering a survival probability of clusters, which abstracts the birth-death process of each cluster in the channel model. Moreover, the performance of SM systems is also compared with that of other MIMO technologies under the massive MIMO channel model. In summary, all research works in this thesis have considered realistic MIMO channel models, which are meaningful for the test, performance evaluation, and implementation of SM technology for future advanced wireless communications systems

    A channel model and coding for vehicle to vehicle communication based on a developed V-SCME

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    Over the recent years, VANET communication has attracted a lot of attention due to its potential in facilitating the implementation of 'Intelligent Transport System'. Vehicular applications need to be completely tested before deploying them in the real world. In this context, VANET simulations would be preferred in order to evaluate and validate the proposed model, these simulations are considered inexpensive compared to the real world (hardware) tests. The development of a more realistic simulation environment for VANET is critical in ensuring high performance. Any environment required for simulating VANET, needs to be more realistic and include a precise representation of vehicle movements, as well as passing signals among different vehicles. In order to achieve efficient results that reflect the reality, a high computational power during the simulation is needed which consumes a lot of time. The existing simulation tools could not simulate the exact physical conditions of the real world, so results can be viewed as unsatisfactory when compared with real world experiments. This thesis describes two approaches to improve such vehicle to vehicle communication. The first one is based on the development of an already existing approach, the Spatial Channel Model Extended (SCME) for cellular communication which is a verified, validated and well-established communication channel model. The new developed model, is called Vehicular - Spatial Channel Model Extended (V-SCME) and can be utilised for Vehicle to Vehicle communication. V-SCME is a statistical channel model which was specifically developed and configured to satisfy the requirements of the highly dynamic network topology such as vehicle to vehicle communication. V-SCME provides a precise channel coefficients library for vehicle to vehicle communication for use by the research community, so as to reduce the overall simulation time. The second approach is to apply V-BLAST (MIMO) coding which can be implemented with vehicle to vehicle communication and improve its performance over the V-SCME. The V- SCME channel model with V-BLAST coding system was used to improve vehicle to vehicle physical layer performance, which is a novel contribution. Based on analysis and simulations, it was found that the developed channel model V-SCME is a good solution to satisfy the requirements of vehicle to vehicle communication, where it has considered a lot of parameters in order to obtain more realistic results compared with the real world tests. In addition, V-BLAST (MIMO) coding with the V-SCME has shown an improvement in the bit error rate. The obtained results were intensively compared with other types of MIMO coding

    Robust Vehicular Communications Using the Fast-Frequency-Hopping-OFDM Technology and the MIMO Spatial Multiplexing

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    Vehicle-to-Vehicle communication is one of the more emerging technologies in the 21st century from either the comfortable transportation or safer transportation point of view. Vehicle-to-Vehicle communication has one crucial factor, which is the huge information to be shared among vehicles, such as the position, the road data. In such situation, the accurate information sharing process is the most important factor in order to make the vehicles operating in the most feasible way. This work proposes a more robust vehicle communication system to make the existing vehicle transportation system more efficient. In this paper, we propose a fast frequency hopping orthogonal frequency division multiplexing to mitigate the Doppler spread effect on our previously published clustering benchmark.  This benchmark contains both of a clustering weighting factor based stage and a multiparallel processing stage. This is in addition to modify the PHY layer of the existing IEEE 802.11p standard in order to impose Multiple Input Multiple Output for higher throughput purposes.The results show a noticeable stability compared to our previously published work. Furthermore, the results are almost exceeds the achieved results from the Lower-ID Distributed Clustering Algorithm (DCA) from both of the speed and communication range

    Performance Analysis of SSK-NOMA

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    In this paper, we consider the combination between two promising techniques: space-shift keying (SSK) and non-orthogonal multiple access (NOMA) for future radio access networks. We analyze the performance of SSK-NOMA networks and provide a comprehensive analytical framework of SSK-NOMA regarding bit error probability (BEP), ergodic capacity and outage probability. It is worth pointing out all analysis also stand for conventional SIMO-NOMA networks. We derive closed-form exact average BEP (ABEP) expressions when the number of users in a resource block is equal to i.e., L=3L=3. Nevertheless, we analyze the ABEP of users when the number of users is more than i.e., L3L\geq3, and derive bit-error-rate (BER) union bound since the error propagation due to iterative successive interference canceler (SIC) makes the exact analysis intractable. Then, we analyze the achievable rate of users and derive exact ergodic capacity of the users so the ergodic sum rate of the system in closed-forms. Moreover, we provide the average outage probability of the users exactly in the closed-form. All derived expressions are validated via Monte Carlo simulations and it is proved that SSK-NOMA outperforms conventional NOMA networks in terms of all performance metrics (i.e., BER, sum rate, outage). Finally, the effect of the power allocation (PA) on the performance of SSK-NOMA networks is investigated and the optimum PA is discussed under BER and outage constraints

    Impact of Dynamic Traffic on Vehicle-to-Vehicle Visible Light Communication Systems

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    In this article we studies the impact of dynamic vehicular traffic density on the signal-to-noise-ratio and the associated bit-error-rate (BER) performance of vehicle-to-vehicle visible light communication (V2V-VLC) systems. The article uses traffic data from the M42 and M6 motorways in the U.K. to investigate the probability of coexistence of other vehicles in the adjacent lanes, which induce interference and act as potential reflectors. The results show that the probability of coexistence of other vehicles in the adjacent lanes is lane-independent and it increases during the rush hours to 90%, while it decays to less than 10% during the off-peak and early morning hours. The intervehicular distance and the BER performance vary widely between different lanes and different periods of the day. The results also show that the BER performance of V2V-VLC system with non-line-of-sight (NLOS) component and with LOS component are comparable at rush hours. However, high BER values are predicted during the off-peak hours for NLOS components of the channel

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

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    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

    Enabling Accurate Cross-Layer PHY/MAC/NET Simulation Studies of Vehicular Communication Networks

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    Vehicle-to-vehicle and vehicle-to-roadside communications is required for numerous applications that aim at improving traffic safety and efficiency. In this setting, however, gauging system performance through field trials can be very expensive especially when the number of studied vehicles is high. Therefore, many existing studies have been conducted using either network or physical layer simulators; both approaches are problematic. Network simulators typically abstract physical layer details (coding, modulation, radio channels, receiver algorithms, etc.) while physical layer ones do not consider overall network characteristics (topology, network traffic types, and so on). In particular, network simulators view a transmitted frame as an indivisible unit, which leads to several limitations. First, the impact of the vehicular radio channel is typically not reflected in its appropriate context. Further, interference due to frame collisions is not modeled accurately ( if at all) and, finally, the benefits of advanced signal processing techniques, such as interference cancellation, are difficult to assess. To overcome these shortcomings we have integrated a detailed physical layer simulator into the popular NS-3 network simulator. This approach aims to bridge the gap between the physical and network layer perspectives, allow for more accurate channel and physical layer models, and enable studies on cross-layer optimization. In this paper, we exemplify our approach by integrating an IEEE 802.11a and p physical layer simulator with NS-3. Further, we validate the augmented NS-3 simulator against an actual IEEE 802.11 wireless testbed and illustrate the additional value of this integration

    Enhancement of Vehicular Visible Light Communication Using Spherical Detector and Custom Lens Combinations

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    Vehicular Visible light communication (VLC) technology has recently attracted much interest from researchers and scientists. This technology enables connectivity between vehicles and infrastructures along the road by using vehicles’ headlights and taillights as wireless transmitters. The reliability of vehicle-to-vehicle (V2V) VLC systems is affected by several factors, such as car mobility, optics system design, and visibility conditions, where the first two have the most impact on the VLC system performance. This paper, therefore, focuses on the relative positions of the cars and the design of the optics, especially on the receiving end, which has been proposed with the use of a polar detector instead of the rectangular detectors commonly used in the literature. We investigate the achievable gain compared to the conventional detector for different vehicle locations, utilizing a professional optical system design and ray tracing approach. Then, to improve the performance, we introduce the utilization of an imaging receiver by integrating the polar detector with different optical commercial lens combinations, such as Fresnel and Aspherical lenses. To further improve the V2V system performance, we propose a novel optical lens combination design by integrating double-convex lens with half-Plano-concave lens, which allows the correction of more optical aberrations, such as chromatic and spherical aberration. Utilizing the non-sequential ray tracing tools, we designed these VLC systems and perform a realistic channel modeling study considering the typical 3D CAD models of vehicles and roads as well as the possibility of horizontal and vertical movement between the vehicles. Based on the channel impulse responses (CIRs) obtained from the ray tracing simulations, we analyzed the performance of V2V VLC systems with all lens combinations at different vehicle positions on the road. We further investigated the impact of different system parameters on the overall V2V system performance, such as receiver diameter and bandwidth. The obtained results demonstrated that with a carefully chosen system and lens parameters, the proposed system design of lens combination provides an enhancement of up to 7 dB in total received power compared to the case without a lens. Our results also revealed that the proposed system design outperforms the benchmark ones for all lateral displacements and longitudinal distances
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