Generalised moment generating function‐based secrecy performance analysis over Fisher–Snedecor composite fading channels

ABSTRACTIn this paper, the performance analysis of wireless communication system over shadowed-Rice (SR) composite fading channel has been investigated and analysed. The unified analytical expressions of the average symbol error probability (ASEP) for several coherent and non-coherent modulation schemes separately with different constellation sizes are derived for composite fading channel under two different fade mitigation methods, with maximal ratio combining (MRC) microdiversity (Method 1) and MRC applied over the composite fading channel (Method 2). Furthermore, an asymptotic analysis is carried out and a closed-form expression of the ASEP with Method 2 is presented. Analytical expressions of the corresponding average probability of energy detection (PD) are formulated for both the methods. Finally, the derived PD expression is utilised to analyse the performance of cooperative system assuming erroneous feedback channel. Analysis of optimisation of detection threshold as well as number of cognitive users to minimise the total error rate is also carried out. The closed-form expressions are validated by comparing them with exact numerical results and Monte Carlo simulation.

The $F$ composite fading model was recently proposed as an accurate and tractable statistical model for the characterization of the composite fading conditions encountered in realistic wireless communication scenarios. In the present contribution we capitalize on the distinct properties of this composite model to evaluate the achievable effective rate over $F$ composite fading channels. To this end, we derive an exact closed-form expression for the effective rate, which is subsequently used as a benchmark for the derivation of tight upper and lower bounds, as well as of an accurate approximation. The derived analytic expressions are provided in closed-form and benefit from being tractable both analytically and numerically. This enables the development of meaningful insights on the effect of fading conditions and/or latency on the overall system performance. Also, it allows the accurate quantification of the signal to noise ratio required in target quality of service requirements under different composite fading conditions.

In this paper, a novel closed form expression for the effective capacity (EC) over the α‐η‐μ/Lognormal and α‐κ‐μ/Lognormal composite fading channels has been derived. Using the proposed expression, the influence of various fading and shadowing parameters on the composite fading channels is investigated. Moreover, to get more insight behavior of the channels, an asymptotic expression under high and low signal‐to‐noise ratio (SNR) regimes have also been derived.

This paper investigates the effects of hybrid co-channel interference (CCI) on integrated satellite-terrestrial networks (ISTN). The system performance is analyzed over the composite fading channel. More specifically, the outage probability (OP) formula is obtained for interference limited ISTN systems operating over shadowed-Rician and extended generalized-K (EGK) fading channels, for satellite and terrestrial links, respectively. The results are indicated on the basis of Fox's H function. This new formula is versatile and can serve as an effective way to estimate the performance of ISTN systems. The analysis is further illustrated by numerical evaluated results, clearly demonstrating effects of several key factors on the outage performance.

The novel advancement in the wireless communication system demands Quality-of-service (QoS) awareness to support low latency applications, such as the internet of things, multimedia communication, and autonomous vehicles under delay constraints. To explore the performance of wireless networks supporting such applications, effective capacity (EC) is introduced as a significant performance parameter. This paper proposes a closed-form expression of the EC over gamma shadowed α-κ-μ composite fading channel, and using this expression performance analysis of the EC over the presented channel is conducted. Furthermore, asymptotic analysis under low and high SNR regimes is performed to get more insight into the system.

The exact closed‐form expressions regarding the outage probability and capacity of distributed MIMO (DMIMO) systems over a composite fading channel are derived. This is achieved firstly by using a lognormal approximation to a gamma‐lognormal distribution when a mobile station (MS) in the cell is in a fixed position, and the so‐called maximum ratio transmission/selected combining (MRT‐SC) and selected transmission/maximum ratio combining (ST‐MRC) schemes are adopted in uplink and downlink, respectively. Then, based on a newly proposed nonuniform MS cell distribution model, which is more consistent with the MS cell hotspot distribution in an actual communication environment, the average outage probability and capacity formulas are further derived. Finally, the accuracy of the approximation method and the rationality of the corresponding theoretical analysis regarding the system performance are proven and illustrated by computer simulations.

In this paper, the cross-layer design (CLD) performance of uplink massive MIMO system is studied by combining the discrete rate adaptive modulation with truncated automatic repeat request over composite Rayleigh fading channel. As shown in the performance analysis, each user's effective signal-to-noise ratio (SNR) and the corresponding conditional probability density function are, respectively, derived. Furthermore, we deduce the switching thresholds for CLD by means of the approximation of the PER with the constraint of the target packet error rate (PER). Based on switching thresholds, using the appropriate numerical integration method, average PER (APER) and overall average spectral efficiency (ASE) of massive MIMO with CLD are derived, and resultant closed-form expressions of APER and ASE can be achieved. The theoretical results above can agree with the corresponding simulations, and thus the system performance can be feasibly assessed. Simulation results illustrate that the CLD system is able to increase the ASE while maintaining the target PER, and thus the theoretical analysis is valid. Besides, with the increase of the maximum retransmission number, the ASE increment will decrease while the PER will increase. Moreover, the system performance will become better with the number of receive antennas increases, as expected.

We investigated a simple Adaptive selection/maximal-ratio (ASM) combining cooperative system with output threshold over independent nonidentical composite Nakagami-lognormal fading channels using Mixture gamma (MG) distribution. Some novel closed-form expressions for the probability density function, the cumulative distribution function and the momentgeneration function of the output Signal-to-noise ratio (SNR) for the ASM system are derived, respectively. The average symbol error rate, outage probability and the diversity order for the ASM system are given based on the above expressions. For the purpose of comparison, we also derive the statistical characterizations of the conventional selection combining and maximal-ratio combining cooperative systems using MG distribution. Numerical and simulation results are shown to verify the accuracy of the analytical results under different scenarios, such as varying average SNR, fading parameters per hop, and the location of relaying nodes. These results show that ASM is a simple and flexible cooperative system, and can be useful in future practical deployment.

A novel expression for the probability of detection in spectrum-sensing cognitive radio systems is derived over the extended generalised-𝒦 composite fading channel assuming energy detection is employed. The new tractable expression subsumes several fading and shadowing environments as special cases. It can also be easily evaluated using commercial software packages such as MATHEMATICA© and MATLAB©.

Appropriate channel modeling plays an important role in the design and analysis of various transmission and reception schemes over composite fading channels. The generalized-K (Gamma-Gamma) composite fading model has been used recently to model composite fading in wireless channels as an alternative to the less tractable lognormal-based models. In this paper, the expression of the amount of fading for the sum of correlated generalized-K random variables is derived and then the moment matching method is used to approximate, in the lower tail region, the probability density function of the sum of identically distributed generalized-K random variables with positively and equally correlated shadowing components by the familiar Gamma distribution. Furthermore, the obtained expressions of the amount of fading give insights into the effect of shadowing correlations on the performance of maximal ratio combining receivers in coordinated multi-point transmission and reception schemes in future wireless systems.

In this letter, we present the α-η-F and α-κ-F composite fading distributions. The two distributions generalize the two well-known composite fading distributions, namely the η-μ/inverse gamma and the κ-μ/inverse gamma distributions. For both distributions, we derive new exact closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the instantaneous signal-to-noise ratio (SNR). Additionally, the outage probabilities (OPs) of a wireless communication system operating over the new composite fading channels are obtained. Moreover, we derive asymptotic OPs, in the high SNR regime, to gain more insight into the influence of fading parameters. Some numerical results on the envelope PDFs and OPs are provided and compared with Monte-Carlo simulation results to validate the analyses.

SEP of rectangular QAM in composite fading channels

Massive multiple‐input multiple‐output (MIMO), together with distributed antenna systems has emerged as a promising technology in modern wireless networks because of their remarkable capacity potential and link reliability. The combined architecture, that is distributed massive MIMO (DM‐MIMO) comprises of arbitrarily located multiple radio ports (RPs) each having more than one antennas and a base station containing asymptotically large number of antennas. At the outset, the instantaneous output signal to noise ratio (SNR) corresponding to individual subchannel is obtained for ZF detector. Subsequently, closed form expression of exact and high SNR approximated ergodic capacity are obtained in the context of DM‐MIMO. The lower bound of ergodic capacity are then derived using a generalized approach, which may be applicable to all composite fading channels. Moreover, lower bound over all users are formulated in closed form considering large number of RPs located in a circular topology. In subsequent analysis, SER and OP characterization of the ZF detector over DM‐MIMO channel is presented with tractable mathematical expressions. In addition to the per subchannel based SER, the global average SER is also evaluated for the considered configurations. Finally, the implications of model parameters on ZF detectors are analysed through a set of Monte‐Carlo simulations.

We assume a full-duplex (FD) cooperative network subject to hostile attacks and undergoing composite fading channels. We focus on two scenarios: \textit{a)} the transmitter has full CSI, for which we derive closed-form expressions for the \textit{average secrecy rate}; and \textit{b)} the transmitter only knows the CSI of the legitimate nodes, for which we obtain closed-form expressions for the \textit{secrecy outage probability}. We show that secure FD relaying is feasible, even under strong self-interference and in the presence of sophisticated multiple antenna eavesdropper.

The efficient data dissemination in an infrastructure-less environment as MANET is the challenging issues. This paper proposes to adopt the CDN Technique for disseminating information in MANET. The source node disseminates data to surrounding nodes by repeatedly transmitting batches of packets. Our proposed is developed based on the OLSR. The CDN nodes are selected from MPRs to optimally cover all subscribers and to avoid the interference problem. The packets are transmitted to destination by using broadcasting technique. The performance is evaluated as probability of successful transmission by simulation using NS3, and compared with the pure OLSR and clustering-based data transmission algorithm in VANET. Our proposed improves the probability of successful transmission and achieves higher rate at high nodes' density when comparing with pure OLSR and clustering-based algorithm respectively. The closed-form mathematical expression of the probability of successful transmission of our proposed algorithm in multi-hop network environment is derived and verified.