Amplify-and-Forward Relaying With Maximal Ratio Combining Over Fluctuating Two-Ray Channel: Non-Asymptotic and Asymptotic Performance Analysis

Abstract

Fluctuating two-ray (FTR) channel model was shown to effectively characterize millimeter wave (mmWave) communication channels. In this paper, we adopt FTR to investigate amplify-and-Forward (AF) mmWave relaying system. Two communications scenarios are considered corresponding to the presence and absence of a direct link between the transmitter and receiver. Outage probability and symbol error rate (SER) are then analytically obtained as performance metrics. The results are further compared with the corresponding metrics obtained based on conventional channel models including Nakagamim and two-wave with diffuse power (TWDP). Especially, for the high-SNR regime, our analyses indicate that performance evaluations based on the conventional models significantly deviate from that of based on the FTR model. Our results provide quantitative insights on the importance of model selection in design and performance evaluations of relay-based mmWave systems. Moreover, for the high-SNR regime, we carry out asymptotic analysis and obtain a low-complexity expression for the achieved AF relaying gain. Such an expression provides a quantitative measure on whether or not AF relaying outperforms no-relaying in a given setting. Extensive numerical and simulation results are provided to confirm the accuracy of the analysis and investigate system performance in different settings.

Fading Channel Models for mm-Wave Communications

“…Finally, it is worth mentioning that in the current literature, several research works have been developed under the premise of the use of both κ-µ shadowed and FMR models. For instance, we can state the following: (1) heterogeneous 5G cellular systems over κ-µ shadowed fading channels [27]; (2) physical layer security over κ-µ shadowed [35] and FMR [36] fading channels; (3) cooperative networks over FTR channels [37]; (4) the next mobile communications over FTR channels [38].…”

Alternative Formulations for the Fluctuating Two-Ray Fading Model

“…Remark 1. It must be noted that the factor γ 1+K remains invariant in the transformation defined in (7), and this is also true for all the transformations defined in the proof of Lemma 1 in all subsequent expressions. This is due to the fact that parameters K and γ are related by the expression…”

“…Considering the symmetry of the cosine function around π, the integration with respect to θ can be peformed in [0, π), thus obtaining (7).…”

Modelos de canal de desvanecimiento para comunicaciones Millimeter-Wave

“…Finalmente, es bueno resaltar que en la literatura actual diversas investigaciones están siendo desarrolladas bajo la premisa del uso de los modelos 𝜅-𝜇 shadowed y FMR. Por ejemplo, podemos citar los siguientes trabajos: 1) redes heterogéneas en 5G sobre canales 𝜅-𝜇 shadowed [20]; 2) Seguridad en capa física sobre canales 𝜅-𝜇 shadowed [21] y FMR [22]; 3) Comunicaciones cooperativas sobre canales FTR [23]; 4) comunicaciones móviles futuras sobre canales FTR [24] , entre otros.…”