Article

On the Performance of RIS-Assisted Dual-Hop UAV Communication Systems

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Abstract

In this paper, to further improve the coverage and performance of unmanned aerial vehicle (UAV) communication systems, we propose a reconfigurable intelligent surface (RIS)-assisted UAV scheme where an RIS installed on a building is used to reflect the signals transmitted from the ground source to an UAV, and the UAV is deployed as a relay to forward the decoded signals to the destination. To model the statistical distribution of the RIS-assisted ground-to-air (G2A) links, we develop a tight approximation for the probability density function (PDF) of the instantaneous signal-to-noise ratio (SNR). Thanks to this distribution, analytical expressions of outage probability, average bit error rate (BER), and average capacity are derived. Results show that the use of RISs can effectively improve the coverage and reliability of UAV communication systems.

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... This phenomenon can be explained by the "multiplicative fading" effect, that is, the path loss of the cascade BS-RIS-Receiver link is the product rather than the sum of path loss of BS-RIS link and RIS-User link. To counter this new type of "double decline", active RIS was put forward in [17]- [19]. The main feature of active RIS different from passive one lies in the structure of each reflecting element. ...
... In active RIS, each reflecting element has a power amplifier, and can simultaneously adjust phase and amplification of signal. In [17]- [19], active RIS assisted uplink and downlink systems were studied respectively, and some algorithms were also presented to design the phase shift and amplification factor of active RIS. Numerical experiments showed that this kind of active RIS can achieve higher transmission rate in comparison with passive RIS, thus overcoming the basic limitation of "double fading" effect. ...
... Denoting the optimal solution of the problem (19) as {V * k , µ * }, V * k will always satisfy rank(V * k ) = 1. Proof. ...
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In this paper, we investigate simultaneously transmitting and reflecting reconfigurable intelligent surfaces (STAR-RIS), which enables to communicate with users both sides by transmitting signals to users forward and reflecting signals to users backward simultaneously. We consider a communication system with a STAR-RIS, a base station (BS) and many users to maximize the minimum user energy efficiency (EE) by jointly optimizing active beamforming, transmission and reflection coefficients with power constraint. Considering the fractional programming form of the formulated problem, we adopte Dinkelbach algorithm to transform the problem into the form of convex function subtraction, and then divide it into two sub-problems optimizing the beamforming vectors at BS and coefficient matrices at STAR-RIS separately. With the two subproblems fixed, an Alternating Optimization (AO) algorithm is proposed to solve the maximize minimum user EE fair optimization problem. Numerical results demonstrate that STAR-RIS can enhance energy and spectrum efficiency of the STAR-RIS communication system, and the proposed algorithm maximizes the minimum EE effectively to ensure user fairness.
... However, it has been observed that in dual-hop communication systems with co-channel interference, RIS can help mitigate the impact of interference from nearby channels [24]. Ref. [25] proposed a study on the effect of different system parameters, including the number and placement of RIS elements, on the performance of a RIS-assisted communication system. Here, the authors concluded that the most effective RIS configuration for optimal performance depends on the specific communication scenario and network requirements. ...
... Substituting Eqs. (25) and (32) ...
... where T 1 = (a + a e + n + 2). Plugging (25) and (32) ...
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The appearance of sixth-generation networks has resulted in the proposal of several solutions to tackle signal loss. One of these solutions is the utilization of reconfigurable intelligent surfaces (RIS), which can reflect or refract signals as required. This integration offers significant potential to improve the coverage area from the sender to the receiver. In this paper, we present a comprehensive framework for analyzing the secrecy performance of a RIS-aided mixed radio frequency (RF)-free space optics (FSO) system, for the first time. Our study assumes that a secure message is transmitted from a RF transmitter to a FSO receiver through an intermediate relay. The RF link experiences Rician fading while the FSO link experiences M\'alaga distributed turbulence with pointing errors. We examine three scenarios: 1) RF-link eavesdropping, 2) FSO-link eavesdropping, and 3) a simultaneous eavesdropping attack on both RF and FSO links. We evaluate the secrecy performance using analytical expressions to compute secrecy metrics such as the average secrecy capacity, secrecy outage probability, strictly positive secrecy capacity, effective secrecy throughput, and intercept probability. Our results are confirmed via Monte-Carlo simulations and demonstrate that fading parameters, atmospheric turbulence conditions, pointing errors, and detection techniques play a crucial role in enhancing secrecy performance.
... In recent reports, the RIS has been used to aid UAV communications [3,4,7,8,[14][15][16][17][18][19][20][21][22][23]. Specifically, different scenarios were investigated such as RISs aided ground-to-air (G2A) [3,8,14,15], air-to-ground (A2G) [4,7,16,20,22,23], and both G2A and A2G communications [17,21]. ...
... In recent reports, the RIS has been used to aid UAV communications [3,4,7,8,[14][15][16][17][18][19][20][21][22][23]. Specifically, different scenarios were investigated such as RISs aided ground-to-air (G2A) [3,8,14,15], air-to-ground (A2G) [4,7,16,20,22,23], and both G2A and A2G communications [17,21]. Additionally, the case that the UAV carry RISs to support data transmission was also studied [18,19,21]. ...
... As a result, the number of users in NOMA systems is greatly increased. On the other hand, the advantages of utilizing RISs and UAV in wireless communications have been demonstrated in recent reports [3,4]. Specifically, the RIS can reflect signals without signal processing leading to a reduction in computation complexity [5,6]. ...
Article
This paper examines the performance of a wireless system where two reconfigurable intelligent surfaces (RISs) and an unmanned aerial vehicle (UAV) are combined to aid multiple ground users adopting nonorthogonal multiple access (NOMA) scheme. Specifically, the UAV acts as an aerial relay station, the first and the second RISs are respectively used to aid ground-to-air (G2A) and air-to-ground (A2G) communications. Besides the reflected link from the RISs, the direct link between a ground base station (S) and the UAV, the UAV and ground users are exploited to increase the received power at UAV and ground users. We successfully derive the theoretical formulas of outage probability (OP) and ergodic capacity (EC) of RIS-aided G2A/A2G-NOMA system over Nakagami-m fading channel. The derived formulas are validated by Monte-Carlo simulations, and the impacts of system parameters on the OP and EC are fully evaluated to achieve useful insights into the system behaviors. Numerical results clarify that by using two RISs where every RIS is equipped with 100 reflecting elements (REs), the OP of RIS-aided G2A/A2G-NOMA system is greatly lower than the OP of the G2A/A2G-NOMA system without RISs, in which there are only S-UAV and UAV-ground users direct links. In the case of EC, the benefit of using RISs focuses on a low transmit power regime. It is because the EC of the RIS-aided G2A/A2G-NOMA system is only higher than the EC of the system without RISs in the low transmit power region. For the high transmit power regions, the ECs with and without RISs are similar.
... Low Power Wide Area Networks (LPWANs) [3,4] is a promising solution to these challenges and has been deployed in IoT applications such as environment monitoring [5], smart irrigation [6], and unmanned aerial vehicle (UAV) communication systems [7]. As another key technology of future wireless networks, the UAVs may be used as either a relaying station decoding and forwarding the signals of a ground source reflected by a reconfigurable intelligent surface (RIS) [8] or an aerial base station to increase the performance of a dual-hop underwater wireless optical communication (UWOC) system where an autonomous underwater vehicle is receiving transmissions through a over-sea surface relay (R) [9]. Since the Rician fading model is valid for both the UAV-RIS link in the RIS assisted UAV system [8] and the UAV-R link in the dual-hop UWOC system [9], the proposed union bounds can also be applied in these scenarios if LoRa modulation is adopted in the communication links to the UAVs. ...
... As another key technology of future wireless networks, the UAVs may be used as either a relaying station decoding and forwarding the signals of a ground source reflected by a reconfigurable intelligent surface (RIS) [8] or an aerial base station to increase the performance of a dual-hop underwater wireless optical communication (UWOC) system where an autonomous underwater vehicle is receiving transmissions through a over-sea surface relay (R) [9]. Since the Rician fading model is valid for both the UAV-RIS link in the RIS assisted UAV system [8] and the UAV-R link in the dual-hop UWOC system [9], the proposed union bounds can also be applied in these scenarios if LoRa modulation is adopted in the communication links to the UAVs. ...
... Conditional on symbol m being transmitted, the DFT of the de-chirped signal (8) can be rewritten aš ...
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In this paper the symbol error performance of LoRa modulation is addressed for flat Rician block fading channels. First the exact symbol error probability of the LoRa modulation on Rician fading is derived. Then the upper and lower union bounds are employed on the derived symbol error probability. The proposed bounds are compared against the exact symbol error probability, the numerical evaluation of the symbol error probability and the state-of-art approximation of the LoRa symbol error probability. Numerical results show that while the proposed upper bound is very tight to the exact symbol error probability, there is approximately a 2.5 dB gap for the lower bound.
... where h 1,n and h 2,n denote the channel coefficients between the UE and the n th element of the LoS IRS, and the n th element of the IRS and the LoS BS, respectively. The channel coefficients are modeled independently across different IRS elements, as in [31]- [33]. ...
... The probabilities P(A D,P L ) and P(A I,P L ) are obtained by applying the total probability theorem to (33) and (34), and averaging over x and z, respectively. Proposition 3. The probability that the PL value of the direct link is lower than or equal to the PL value of the indirect link is ...
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p>Intelligent reflecting surfaces (IRSs) have become a popular topic in recent years for their great potential for controlling the radio link environment of wireless networks. With this controlled environment, the coverage can be increased. This paper examines the coverage analysis of IRS-aided networks, considering both two-dimensional buildings and the product-distance path loss model for the first time. Leveraging the tools from stochastic geometry, the locations of base stations (BSs), buildings, and IRSs are modeled with a homogeneous Poisson point process (PPP). A Gamma approximation for the distribution of the nearest line-of-sight (LoS)-neighbor distance is proposed, leading to a closed-form expression for the distribution of the product-distance. Feasible BSs are defined as BSs which are reachable via an IRS deployed on a specific facade of a building, and the ratio of feasible BSs is derived. Simulations are performed, which confirm the proposed analytical methods. In the numerical results, it is observed that the IRSs can introduce up to a 45\% coverage boost, and the effect of the IRS length on the coverage probability is limited beyond 1.2 meters at 60 GHz.</p
... However, the conventional reflection-only PRIS has only half of the service area, which means that the transmitter and receiver must be located on the same side of the PRIS. With the development of metasurface technology, a new type of simultaneously transmitting and reflecting surface (STARS) was proposed, which expands the service scope to full space [9]. ...
... Before calculating the outage probability of RU m , we derive the PDF expression for Z = |h m | + X φ 2 . By combining (8), (9) and (13), the PDF expression for Z is calculated as ...
Article
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The active simultaneously transmitting/reflecting surface (ASTARS) is considered a promising technique to achieve full spatial coverage and overcome multiplicative fading caused by cascaded paths. This paper investigates the performance of ASTARS-assisted rate-splitting multiple-access networks (ASTARS-RSMA) with multiple transmission users (TUs) and reflection users (RUs). The energy-splitting configurations of ASTARS and the effects of imperfect/perfect successive interference cancellation (SIC) on ASTARS-RSMA networks are considered in the analysis. We derive new exact and asymptotic expressions of the outage probability with imperfect/perfect SIC for TUs and RUs. On this basis, we further calculate the diversity orders of TUs and RUs. Moreover, the system throughput and energy efficiency (EE) of ASTARS-RSMA are evaluated in the delay-limited mode. The simulation results confirm the accuracy of the theoretical expressions and show that (i) the outage probability and system throughput with imperfect/perfect SIC of ASTARS-RSMA exceed that of passive simultaneously transmitting/reflecting surface (PSTARS)-assisted RSMA when the number of elements is not too large; (ii) although ASTARS increases power consumption compared to PSTARS, it can bring further EE improvements to RSMA networks.
... where h 1,n and h 2,n denote the channel coefficients between the UE and the n th element of the LoS IRS, and the n th element of the IRS and the LoS BS, respectively. The channel coefficients are modeled independently across different IRS elements, as in [31]- [33]. ...
... The probabilities P(A D,P L ) and P(A I,P L ) are obtained by applying the total probability theorem to (33) and (34), and averaging over x and z, respectively. Proposition 3. The probability that the PL value of the direct link is lower than or equal to the PL value of the indirect link is ...
Preprint
Full-text available
p>Intelligent reflecting surfaces (IRSs) have become a popular topic in recent years for their great potential for controlling the radio link environment of wireless networks. With this controlled environment, the coverage can be increased. This paper examines the coverage analysis of IRS-aided networks, considering both two-dimensional buildings and the product-distance path loss model for the first time. Leveraging the tools from stochastic geometry, the locations of base stations (BSs), buildings, and IRSs are modeled with a homogeneous Poisson point process (PPP). A Gamma approximation for the distribution of the nearest line-of-sight (LoS)-neighbor distance is proposed, leading to a closed-form expression for the distribution of the product-distance. Feasible BSs are defined as BSs which are reachable via an IRS deployed on a specific facade of a building, and the ratio of feasible BSs is derived. Simulations are performed, which confirm the proposed analytical methods. In the numerical results, it is observed that the IRSs can introduce up to a 45\% coverage boost, and the effect of the IRS length on the coverage probability is limited beyond 1.2 meters at 60 GHz.</p
... RISs offers wireless communication link several advantages over technologies such as optical relay systems. These advantages of RISs have recently studied and triggered intensive investigations of the technology [16]- [28]. ...
... The gain of system is given by ℎ , in which the quantity is deterministic in contrast to ℎ and . The PDF of SNR's system, ( ), can be evaluated as [28]. ...
... They are random variables. The PDF of SNR's system, ( ), is evaluated as [20]. ...
... We assume that SISO sub-channel turbulence processes are independent, uncorrelated, identically distributed, PDF ( ) can be decreased to a product of the first-order PDF of each element. The (17) and formula contact between probability density function, the PDF of end-to-end SNR, ( ), in the case of weak turbulence channels can be given as (20). ...
Article
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span lang="EN-US">Free-space optical (FSO) communication can provide the cost-efficient, secure, high data-rate communication links required for applications. For example, it provides broadband internet access and backhauling for the fifth-generation (5G) and the sixth-generation (6G) communication networks. However, previous solutions to deal with signal loss caused by obstructions and atmospheric turbulence. In these solutions, reconfigurable intelligent surfaces (RISs) are considered hardware technology to improve the performance of optical wireless communication systems. This study investigates the pointing error effects for RIS-aided FSO links under atmospheric turbulence channels. We analyze the performance of RIS-aided FSO links influenced by pointing errors, atmospheric attenuation, and turbulence for the subcarrier quadrature amplitude modulation (SC-QAM) technique. Atmospheric turbulence is modeled using log-normal distribution for weak atmospheric turbulence. Several numerical outcomes obtained for different transmitter beam waist radius and pointing error displacement standard deviation are shown to quantitatively illustrate the average symbol error rate (ASER).</span
... where h 1,n and h 2,n denote the channel coefficients between the UE and the n th element of the LoS IRS, and the n th element of the IRS and the LoS BS, respectively. The channel coefficients are modeled independently across different IRS elements, as in [31]- [33]. ...
... The probabilities P(A D,P L ) and P(A I,P L ) are obtained by applying the total probability theorem to (33) and (34), and averaging over x and z, respectively. ...
Preprint
Full-text available
p>Intelligent reflecting surfaces (IRSs) have become a popular topic in recent years for their great potential for controlling the radio link environment of wireless networks. With this controlled environment, the coverage can be increased. This paper examines the coverage analysis of IRS-aided networks, considering both two-dimensional buildings and the product-distance path loss model for the first time. Leveraging the tools from stochastic geometry, the locations of base stations (BSs), buildings, and IRSs are modeled with a homogeneous Poisson point process (PPP). A Gamma approximation for the distribution of the nearest line-of-sight (LoS)-neighbor distance is proposed, leading to a closed-form expression for the distribution of the product-distance. Feasible BSs are defined as BSs which are reachable via an IRS deployed on a specific facade of a building, and the ratio of feasible BSs is derived. Simulations are performed, which confirm the proposed analytical methods. In the numerical results, it is observed that the IRSs can introduce up to a 45\% coverage boost, and the effect of the IRS length on the coverage probability is limited beyond 1.2 meters at 60 GHz.</p
... In [5], The transmission performance of the system is improved by the joint optimization of active and passive beamforming. The authors of [6] obtained the SNR distribution of RIS-assisted communication system by using the central limit theorem. The authors extend similar work to the more general Rician channel [7]. ...
... We set k ε the range from 6 10 − to 5 10 − and set the block length b=200 and the convergence accuracy to . Four users are randomly generated around the AP with a maximum distance of 50 m and a minimum distance of 5 m. ...
Article
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Phasor measurement unit (PMU) has been widely applied in power grids. For these applications, there is usually a high requirement for data transmission delay and reliability; therefore, short data packets are often used for transmission. Therefore, a downlink communication model for reconfigurable intelligent surface (RIS) assisted multi-PMU is proposed in the paper. We propose a joint optimization problem to maximize the total achievable system rate. Finally, an alternate iterative algorithm based on SCA is proposed. The results show that the proposed algorithm can effectively improve the sum rate.
... One solution is to adopt Reconfigurable Intelligent Surface (RIS), which is a programming surface structure that enables spectral-and energy-efficient wireless communications [8]. The combination of RIS and UAV has led to significant gains in coverage [9] and throughput [10]. However, their objective function is not linked with the secrecy rate. ...
... 3) Reward : Our goal is to optimize SEE as defined in (9). However, in practice, we find that directly employing (9) as reward function may lead to poor convergence and performance. ...
Conference Paper
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This paper investigates the physical layer security (PLS) issue in reconfigurable intelligent surface (RIS) aided millimeter-wave rotary-wing unmanned aerial vehicle (UAV) communications under the presence of multiple eavesdroppers and imperfect channel state information (CSI). The goal is to maximize the worst-case secrecy energy efficiency (SEE) of UAV via a joint optimization of flight trajectory, UAV active beamforming and RIS passive beamforming. By interacting with the dynamically changing UAV environment, real-time decision making per time slot is possible via deep reinforcement learning (DRL). To decouple the continuous optimization variables, we introduce a twin twin-delayed deep deterministic policy gradient (TTD3) to maximize the expected cumulative reward, which is linked to SEE enhancement. Simulation results confirm that the proposed method achieves greater secrecy energy savings than the traditional twin-deep deterministic policy gradient DRL (TDDRL)-based method. Code is provided in https://github.com/yjwong1999/Twin-TD3
... The focus of our survey is not only on energy optimization in general but also the opti-276 mization methods employed in energy efficient UAV-assisted wireless communication 277 networking. 278 • We categorized the methods according to their type (i.e., conventional and ML) and 279 investigated each energy optimization method accordingly. 280 • For the sake of completeness. ...
... RISs can be combined with UAVs to improve system throughput [277], network 1899 coverage and reliability [278,279] or EE [280][281][282][283]. By acting as relays for signals without 1900 the need for additional external power supply, RISs achieve high EE when combined with 1901 UAVs in cellular networks. ...
Article
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Wireless communication networks have been witnessing unprecedented demand due to the increasing number of connected devices and emerging bandwidth-hungry applications. Although there are many competent technologies for capacity enhancement purposes, such as millimeter wave communications and network densification, there is still room and need for further capacity enhancement in wireless communication networks, especially for the cases of unusual people gatherings, such as sport competitions, musical concerts, etc. Unmanned aerial vehicles (UAVs) have been identified as one of the promising options to enhance capacity due to their easy implementation, pop-up fashion operation, and cost-effective nature. The main idea is to deploy base stations on UAVs and operate them as flying base stations, thereby bringing additional capacity where it is needed. However, UAVs mostly have limited energy storage, hence, their energy consumption must be optimized to increase flight time. In this survey, we investigate different energy optimization techniques with a top-level classification in terms of the optimization algorithm employed—conventional and machine learning (ML). Such classification helps understand the state-of-the-art and the current trend in terms of methodology. In this regard, various optimization techniques are identified from the related literature, and they are presented under the above-mentioned classes of employed optimization methods. In addition, for the purpose of completeness, we include a brief tutorial on the optimization methods and power supply and charging mechanisms of UAVs. Moreover, novel concepts, such as reflective intelligent surfaces and landing spot optimization, are also covered to capture the latest trends in the literature.
... The authors proposed an optimization algorithm to maximize the average achievable rate. In a more recent study, [5] considered a scenario where a source sends a signal to a UAV through a stationary RIS and then to a destination. The authors modeled the signal-tonoise ratio (SNR) statistics of the ground-to-air (G2A) link by considering the distribution of channel gains between the source and a RIS element to be Rayleigh, while the channel between the RIS element and UAV is Rician. ...
... For P a , inserting (5) in (19) gives ...
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In this paper, we study the performance of multiple reconfigurable intelligent surfaces (RISs)-aided unmanned aerial vehicle (UAV) communication networks over Nakagami-$m$ fading channels. For that purpose, we used accurate closed-form approximations for the channel distributions to derive closed-form approximations for the outage probability (OP), average symbol error probability (ASEP), and the average channel capacity assuming independent non-identically distributed (i.ni.d.) channels. Furthermore, we derive the asymptotic OP at the high signal-to-noise ratio (SNR) regime to get more insights into the system performance. We also study some practical scenarios related to RISs, UAV, and destination locations and illustrate their impact on the system performance through simulations. Finally, we provide an optimization problem on the transmit power of each channel.
... In [8], an RIS-assisted fingerprint base method was proposed, where an RIS was placed on a wall for indoor multi-user localization. In [9][10][11], an RIS was attached to a building to pass on communications among a mobile UAV, a fixed-position UAV, and ground users. In addition, an RIS can also be applied underground or underwater. ...
... Unlike the previous algorithms based on Q-learning, the PPO algorithm is based on a ratio between the current policy π θ (s t |a t ) that will be learned and the baseline policy π θ k (s t |a t ) that was obtained from previous experiences. The ratio between these policies is notated as R t (θ) and is shown in (10). ...
Article
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A reconfigurable intelligent surface (RIS) is a development of conventional relay technology that can send a signal by reflecting the signal received from a transmitter to a receiver without additional power. RISs are a promising technology for future wireless communication due to their improvement of the quality of the received signal, energy efficiency, and power allocation. In addition, machine learning (ML) is widely used in many technologies because it can create machines that mimic human mindsets with mathematical algorithms without requiring direct human assistance. Meanwhile, it is necessary to implement a subfield of ML, reinforcement learning (RL), to automatically allow a machine to make decisions based on real-time conditions. However, few studies have provided comprehensive information related to RL algorithms—especially deep RL (DRL)—for RIS technology. Therefore, in this study, we provide an overview of RISs and an explanation of the operations and implementations of RL algorithms for optimizing the parameters of RIS technology. Optimizing the parameters of RISs can offer several benefits for communication systems, such as the maximization of the sum rate, user power allocation, and energy efficiency or the minimization of the information age. Finally, we highlight several issues to consider in implementing RL algorithms for RIS technology in wireless communications in the future and provide possible solutions.
... where h 1,n and h 2,n denote the channel coefficients between UE and n th element of LoS IRS, and n th element of IRS and LoS BS, respectively. The channel coefficients are modeled independently across different IRS elements, similar to [27], [28], [29]. ...
... The probabilities P(A D,P L ) and P(A I,P L ) are obtained by applying the total probability theorem to (29) and (30), and averaging over x and z, respectively. ...
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p>Intelligent reflecting surfaces (IRSs) have become a popular topic in recent years for their great potential for controlling the radio link environment of wireless networks. With this controlled environment, the coverage can be increased. In this paper, unlike the other works related to the IRS-aided coverage analysis, both two-dimensional buildings and the product-distance path loss model are considered for the indirect link for the first time. Leveraging the tools from stochastic geometry, the locations of base stations (BSs), buildings, and IRSs are modeled with a homogeneous Poisson point process (PPP). Then, a Gamma approximation for the distribution of the nearest-LoS-neighbor distance is proposed for analytical tractability. With the proposed approximation, a closed-form expression for the distribution of the product-distance is derived. A method to obtain the ratio of feasible BSs which indicates whether a BS is reachable with an IRS depending on the facade of the building it is deployed is proposed. Simulations are performed which confirm the proposed analytical methods. In the numerical results, it is observed that the IRSs can introduce up to a 45\% coverage boost, and the effect of the IRS length on the coverage probability is limited beyond 1.2 meters at 60 GHz.</p
... The UAV-RIS system described in [20] effectively overcame the blockage between the IoTDs and the BS, however, the battery-powered UAV presented the challenge of limited service time. In terms of the decode-and-forward-based RIS-assisted UAV communication system described in [25], the fixed RIS was able to significantly improve the coverage and average capacity of the UAV communication system, whereas the frame-based RIS-assisted transmission protocol outlined in [26] enhanced the coverage and communication quality of the UAV-user link. Furthermore, the resource management problem of the UAV-RIS system was studied in [27] to minimize the energy consumption of the system by joint optimization of UAV deployment, phase shift, and the UAV-RIS-user association. ...
... As the table shows, all the above-related works mainly focused on maximizing the system's total rate and minimizing energy consumption. Although the work in [10], [11], [25], [26] and [12] guaranteed the communication QoS requirement of UTs, the active energy efficiency solution for RIS-assisted communication systems has not yet been considered. The successful paradigms of the RIS-aided SWIPT framework outlined in [7], [13], [32] and [33] can harvest energy on the time-domain. ...
Article
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Integrating unmanned aerial vehicles with RIS (UAV–RIS) can offer ubiquitous deployment services in communication-disabled areas, but is limited by the on-board energy of the UAVs. In this paper, a novel energy harvesting (EH) scheme on top of the UAV–RIS system, called EH-RIS scheme, is developed for the next generation high performance wireless system. The proposed EH-RIS scheme extends the simultaneous wireless information and power transfer (SWIPT) system by splitting the passive reflected arrays on the geometric space for transporting information and harvesting energy simultaneously. However, pedestrian mobility, and rapid channel changes post challenges to efficient resource allocation in wireless systems. Thus, a robust deep reinforcement learning (DRL)-based algorithm is developed to improve the proposed EH-RIS scheme for guaranteeing the quality of service (QoS) under dynamic wireless environments. The simulation results demonstrate the effectiveness and efficiency of the proposed robust DRL-based EH-RIS system, which not only outperform the existing state-of-the-art solutions but also approach to the performance of the exhaustive search method.
... where h 1,n and h 2,n denote the channel coefficients between UE and n th element of LoS IRS, and n th element of IRS and LoS BS, respectively. The channel coefficients are modeled independently across different IRS elements, similar to [27], [28], [29]. ...
... The probabilities P(A D,P L ) and P(A I,P L ) are obtained by applying the total probability theorem to (29) and (30), and averaging over x and z, respectively. ...
Preprint
Full-text available
p>Intelligent reflecting surfaces (IRSs) have become a popular topic in recent years for their great potential for controlling the radio link environment of wireless networks. With this controlled environment, the coverage can be increased. In this paper, unlike the other works related to the IRS-aided coverage analysis, both two-dimensional buildings and the product-distance path loss model are considered for the indirect link for the first time. Leveraging the tools from stochastic geometry, the locations of base stations (BSs), buildings, and IRSs are modeled with a homogeneous Poisson point process (PPP). Then, a Gamma approximation for the distribution of the nearest-LoS-neighbor distance is proposed for analytical tractability. With the proposed approximation, a closed-form expression for the distribution of the product-distance is derived. A method to obtain the ratio of feasible BSs which indicates whether a BS is reachable with an IRS depending on the facade of the building it is deployed is proposed. Simulations are performed which confirm the proposed analytical methods. In the numerical results, it is observed that the IRSs can introduce up to a 45\% coverage boost, and the effect of the IRS length on the coverage probability is limited beyond 1.2 meters at 60 GHz.</p
... In [14], Zheng et al. pursue a theoretical performance comparison between non-orthogonal multiple access (NOMA) and orthogonal multiple access (OMA) in the IRS-assisted downlink communication, in which the minimizing transmit power problem is formulated, taking into account the discrete unit-modulus reflection constraint applied to each IRS element. In [15], Yangs, et al. provide an IRS-assisted UAV scheme to improve the coverage and effectiveness of UAV communication systems. In this scheme, the IRS mounted on a building is utilized to reflect signals originating from a ground source towards a UAV. ...
Article
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In the next-generation network, intelligent reflecting surface (IRS), non-orthogonal multiple access (NOMA), and simultaneous wireless information and power transfer (SWIPT) are promising wireless communication techniques to effectively improve system sum rates. In traditional unmanned aerial vehicles (UAV) communication systems, the sum rate and coverage are greatly affected when there is an occlusion on the direct transmission link. To solve this problem, the IRS technology is introduced to improve the poor channel conditions. However, most of the previous research on IRS-assisted UAV to optimize system sum rate only considers frameworks that utilize the partially joint-combining techniques of IRS, NOMA, and SWIPT. In this paper, in order to further improve the sum rate of the system, we simultaneously integrate IRS, NOMA, and SWIPT technologies and establish a sum rate maximization optimization problem when the direct link is blocked. Then, an alternative optimization (AO) algorithm based on the maximizing system sum rate is proposed to solve the non-convex optimization problem, in which the IRS location and phase, the reflecting amplitude coefficient, UAV forwarding altitude, and power splitting factor are considered. To let the non-convex and non-linear function be transformed into a convex one, we first use an iterative approach to optimize the position of the IRS. After that, an optimization problem is constructed to maximize the system sum rate with the constraints of the IRS phase shifts, successful successive interference cancellation (SIC), maximum transmit power of base station (BS), and UAV. Numerical results show that the proposed algorithm outperforms the traditional orthogonal multiple access (OMA) and algorithms without IRS-assisted links in terms of the system sum rate.
... They derived closed-form expressions for the outage probability (OP) and bit error rate (BER) of AF and decode-and-forward (DF) relaying schemes. In [9], the authors utilized RIS to improve the quality of the source signal, which is sent to the destination through an unmanned aerial vehicle. The secrecy OP of RIS-assisted network has been derived in [10] in the presence of a direct link and eavesdropper. ...
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... where Z = N i=1 i b i , E S is the average power of the signal andγ 1 = L S L R E S /N 1 = 10 (g S +g R )/10 E S /N 1 r µ S S r µ R R is the average SNR of the S-R link. From [9], we apply the K G distribution to model the statistical distribution of γ 1 . Thus, the PDF and CDF of γ 1 are obtained as ...
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... It will need nearly no power to reflect the legitimate signal, which is now the famous topic in recent five years [25,26]. [27] researched the OP of the UAV-assisted communication networks. ...
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... RIS is a passive digitally programmable planar, which has the advantages of low cost, high EE, and flexible deployment [39]. RIS can change the wireless propagation environment in real-time by adjusting the phase shift matrix [40], [41]. It is utilized to reflect signals from the source and enhance or weaken the incident signal according to demands, thus it can be applied to cooperative communication and enhance security [42], [43]. ...
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... • We provide an analytical expression for the network's ergodic secrecy capacity (ESC) by deriving the closedform EC expressions for Bob and Eves in terms of the Meijer-G functions. Most existing works on A-RIS consider the non-central chi-square (NCCS) distribution based on the central limit theorem to describe the statistical model of the RIS channel [23], [24]. However, RIS is proven to benefit from LoS communication, which is better described by the Nakagami-m distribution. ...
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... Denote ( ), the SNR's PDF. It is evaluated as [26]. where (⋅) is PDF of the S-RIS, (⋅) PDF of the RIS-D. ...
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... Besides, UAV-assisted wireless relay networks can also be enhanced by the usage of RISs. In [147], researchers ensured wireless LoS links among user and eNB by modeling RIS reflection factors and UAV routes together in user mobility based RIS-assisted mmWave downlink transmission resulting in enhancement of per user data rate and of realizable downlink LoS likelihood. [148] approximated the instant SINR PDF and obtained the logical expressions of per-user capacity, symbol error rate (SER) and outage possibility within RIS-aided UAV relaying applications. ...
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... Besides, UAV-assisted wireless relay networks can also be enhanced by the usage of RISs. In [147], researchers ensured wireless LoS links among user and eNB by modeling RIS reflection factors and UAV routes together in user mobility based RIS-assisted mmWave downlink transmission resulting in enhancement of per user data rate and of realizable downlink LoS likelihood. [148] approximated the instant SINR PDF and obtained the logical expressions of per-user capacity, symbol error rate (SER) and outage possibility within RIS-aided UAV relaying applications. ...
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Thanks to the line-of-sight (LoS) transmission and flexibility, unmanned aerial vehicles (UAVs) effectively improve the throughput of wireless networks. Nevertheless, the LoS links are prone to severe deterioration by complex propagation environments, especially in urban areas. Reconfigurable intelligent surfaces (RISs), as a promising technique, can significantly improve the propagation environment and enhance communication quality by intelligently reflecting the received signals. Motivated by this, the joint UAV trajectory and RIS’s passive beamforming design for a novel RIS-assisted UAV communication system is investigated to maximize the average achievable rate in this letter. To tackle the formulated non-convex problem, we divide it into two subproblems, namely, passive beamforming and trajectory optimization. We first derive a closed-form phase-shift solution for any given UAV trajectory to achieve the phase alignment of the received signals from different transmission paths. Then, with the optimal phase-shift solution, we obtain a suboptimal trajectory solution by using the successive convex approximation (SCA) method. Numerical results demonstrate that the proposed algorithm can considerably improve the average achievable rate of the system.
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IRS is a new and revolutionizing technology that is able to significantly improve the performance of wireless communication networks, by smartly reconfiguring the wireless propagation environment with the use of massive low-cost passive reflecting elements integrated on a planar surface. Specifically, different elements of an IRS can independently reflect the incident signal by controlling its amplitude and/or phase and thereby collaboratively achieve fine-grained 3D passive beamforming for directional signal enhancement or nulling. In this article, we first provide an overview of the IRS technology, including its main applications in wireless communication, competitive advantages over existing technologies, hardware architecture as well as the corresponding new signal model. We then address the key challenges in designing and implementing the new IRS-aided hybrid (with both active and passive components) wireless network, as compared to the traditional network comprising active components only. Finally, numerical results are provided to show the great performance enhancement with the use of IRS in typical wireless networks.
Article
In this letter, we investigate the secrecy performance of an unmanned aerial vehicle (UAV)-to-UAV system, where a UAV acts as the source ($S$) transmitting information to a legitimate UAV receiver while a group of UAVs trying to eavesdrop the information delivery between $S$ and legitimate UAV receiver. The locations of the legitimate UAV receiver and the eavesdropping UAVs are randomly distributed in the coverage space of $S$. We first characterize the statistical characteristics of the signal-to-noise ratio over $S$ to the legitimate UAV receiver links; and then the closed-form analytical expressions for secrecy outage probability and the average secrecy capacity have also been derived accordingly. Finally, Monte-Carlo simulations are carried out to verify our proposed analytical models.
Article
In this paper, we propose an UAV-based relaying system with energy harvesting functionality. In particular, we assume that this system is operated in urban communication environments, where the channel between the UAV and the land destination is modeled as shadowed-Rician fading or shadowed- Rayleigh fading. Based on this setting, outage probability analysis for different urban environment parameters is derived. Finally, Monte Carlo simulations are conducted to verify the accuracy of our analytical results.
Article
The use of unmanned aerial vehicles (UAVs) that serve as aerial base stations is expected to become predominant in the next decade. However, in order for this technology to unfold its full potential it is necessary to develop a fundamental understanding of the distinctive features of air-to-ground (A2G) links. As a contribution in this direction, this paper proposes a generic framework for the analysis and optimization of the A2G systems. In contrast to the existing literature, this framework incorporates both height-dependent path loss exponent and small-scale fading, and unifies a widely used ground-to-ground channel model with that of A2G for analysis of large-scale wireless networks. We derive analytical expressions for the optimal UAV height that minimizes the outage probability of a given A2G link. Moreover, our framework allows us to derive a height-dependent closed-form expression and a tight lower bound for the outage probability of an \textit{A2G cooperative communication} network. Our results suggest that the optimal location of the UAVs with respect to the ground nodes does not change by the inclusion of ground relays. This enables interesting insights in the deployment of future A2G networks, as the system reliability could be adjusted dynamically by adding relaying nodes without requiring changes in the position of the corresponding UAVs.
Article
In this paper, we consider a two-way relaying system where two users communicate with each other with the help of multiple relays and in which every node is equipped with a single antenna. We assume that the relay employs the amplify-and-forward protocol and propose the Nth worst relay selection scheme. We intend to analyze the system performance of our considered system under two different fading models: lognormal shadowing channels and generalized-K fading channels. More specifically, the outage probability and bit-error-rate expressions of the proposed scheme are derived. Finally, numerical results are provided to verify and illustrate our mathematical analysis.
Article
In this study, highly accurate closed-form approximations to the probability density function of the sum of independent identically distributed (i.i.d.) generalised-K fading envelopes are derived. These approximations are valid for a wide range of values of the distribution parameters and number of summands. Based on the previously derived formulas, simple precise approximations for the outage probability and the average bit error probability of equal-gain combining receivers operating on i.i.d. generalised-K fading channels are proposed. Extensive numerically evaluating and computer simulation results are presented to demonstrate the proposed analysis.
Conference Paper
The stratospheric platform or high altitude platform (HAP) is currently new proposal of wireless infrastructure in the near future. To provide high quality services, investigation of stratospheric platform channel is essential. This paper proposes the definition and the analysis of the narrowband wireless channel for the link between stratospheric platform and terrestrial users based on experiment in "semi-urban" environment. Narrowband channel characteristics are presented in terms of Ricean factor (K factor) and local mean received power over a wide range of elevation angles ranging from 10° to 90°. Finally in this paper, we performed average bit error probability evaluations based on the proposed channels model. For a given environment where the measurements were conducted, we found a better performance for elevation angles greater than 40°.
Article
Error performance is one of the main performance measures and the derivation of its closed-form expression has proved to be quite involved for certain communication systems operating over composite fading channels. In this letter, a unified closed-form expression, applicable to different binary modulation schemes, for the bit error rate of dual-branch selection diversity based systems undergoing independent but not necessarily identically distributed generalized-K fading is derived in terms of the extended generalized bivariate Meijer G-function.
Article
Stratospheric platforms have been recently proposed as a new wireless infrastructure for realizing the next generation of communication systems. To provide high quality services, an investigation of the wireless stratospheric platform channel is essential. This paper proposes a definition and describes an analysis of the wireless channel for the link between stratospheric platforms and terrestrial mobile users based on an experiment in a semi-urban environment. Narrowband channel characteristics are presented in terms of Ricean factor ( K factor) and local mean received power over a wide range of elevation angles ranging from 10° to 90°. Finally, we evaluated average bit error probability based on the proposed channel model to examine the channel performance. For the environment in which the measurements were conducted, we find that elevation angles greater than 40° yield better performance.
Article
A scheme to approximate the distribution of the sum of M independent, non-identically distributed Ricean random variables by the κ-μ distribution is proposed. To this end, appropriate κ-μ distribution parameters are derived. The summands are assumed to have arbitrary mean powers and arbitrary fading parameters. The differences between exact and approximate distribution curves are almost imperceptible.
Article
We quantify the performance of wireless transmissions over random fading channels at high signal-to-noise ratio (SNR). The performance criteria we consider are average probability of:error and outage probability. We show that as functions of the average SNR, they can both be characterized by two parameters: the diversity and coding gains. They both exhibit identical diversity orders, but their coding gains in decibels differ by a constant. The diversity and coding gains are found to depend on the behavior of-the random SNR's probability density function only at the origin, or equivalently, on the decaying order of the corresponding moment generating function (i.e., how fast the moment generating function goes to zero as its argument goes to infinity). Diversity and coding gains for diversity combining systems are expressed in terms of the diversity branches' individual diversity and coding gains, where the branches can come from any diversity technique such as space, time, frequency, or, multipath. The proposed analysis offers a simple and unifying approach to evaluating the performance of uncoded and (possibly space-time) coded transmissions over fading channels, and the method applies to almost all digital modulation schemes, including M-ary phaseshift keying, quadrature amplitude modulation, and frequency-shift keying with coherent or noncoherent detection.
Article
The capacity of multiple-input multiple-output (MIMO) wireless channels is limited by both the spatial fading correlation and rank deficiency of the channel. While spatial fading correlation reduces the diversity gains, rank deficiency due to double scattering or keyhole effects decreases the spatial multiplexing gains of multiple-antenna channels. In this paper, taking into account realistic propagation environments in the presence of spatial fading correlation, double scattering, and keyhole effects, we analyze the ergodic (or mean) MIMO capacity for an arbitrary finite number of transmit and receive antennas. We assume that the channel is unknown at the transmitter and perfectly known at the receiver so that equal power is allocated to each of the transmit antennas. Using some statistical properties of complex random matrices such as Gaussian matrices, Wishart (1928) matrices, and quadratic forms in the Gaussian matrix, we present a closed-form expression for the ergodic capacity of independent Rayleigh-fading MIMO channels and a tight upper bound for spatially correlated/double scattering MIMO channels. We also derive a closed-form capacity formula for keyhole MIMO channels. This analytic formula explicitly shows that the use of multiple antennas in keyhole channels only offers the diversity advantage, but provides no spatial multiplexing gains. Numerical results demonstrate the accuracy of our analytical expressions and the tightness of upper bounds.
The k −µ distribution and the η −µ distribution
  • M D Yacoub
M. D. Yacoub, "The k −µ distribution and the η −µ distribution," IEEE Antenn Propag M, vol. 49, no. 1, pp. 68-81, Feb. 2007.
IEEE Wireless Commun. Lett.
  • L Yang
  • Y Yang
  • M O Hasna
  • M Alouini
Proc. IEEE 20th Int. Workshop Signal Process. Adv. Wireless Commun.
  • C Huang
  • G C Alexandropoulos
  • C Yuen
  • M Debbah