Outage Performance Analysis of Full-Duplex Relay-Assisted Device-to-Device Systems in Uplink Cellular Networks

Abstract

This paper proposes a full-duplex cooperative device-to-device (D2D) communication system, where the relay employed can receive and transmit signals simultaneously. We adopt such a system to assist with D2D transmission. We first derive the conditional cumulative distribution function (CDF) and the probability density function (PDF) of a series of channel parameters when the interference to the base station (BS) is taken into consideration and power control is applied at the D2D transmitter and the relay node. Then, we obtain an exact expression for the outage probability as an integral and also a closed-form expression for a special case, which can be used as a good approximation to the general case when residual selfinterference (SI) is small. Additionally, we also investigate the power allocation problem between the source and the relay and formulate a sub-optimal allocation problem, which we prove to be quasi-concave. Our analysis is verified by Monte Carlo simulations and a number of important features of full-duplex cooperative D2D communications can be thereby revealed. Index Terms-Cooperative device-to-device (D2D) communications, full-duplex system, outage performance, power allocation. I. INTRODUCTION Underlay device-to-device (D2D) communication coexisting with traditional cellular communication has been a frequent topic of research in both academia and industry for years, because of its high power efficiency, high spectral efficiency and low transmission delay [1]-[3]. Meanwhile, cooperative communication has also gained interest, since it can effectively enhance network reliability and performance [4]. Recently, researchers have tried to combine the merits of both communication systems and have proposed the concept of cooperative D2D communication [5]. However, most recent works only treat the combination of D2D communication with half-duplex relays, which will degrade the system throughput by a fraction due to the use of multiple orthogonal time or frequency slots for one complete transmission. On the other hand, full-duplex relaying is capable of overcoming this shortcoming, but at the cost of producing residual self-interference (SI) [6]. A simplified full-duplex D2D network model is proposed in [7]. The effects of residual SI are analyzed and a numerical optimization of the total transmit power in this full-duplex D2D network model is carried out without presenting analytical results in [8]. Power allocation problems in full-duplex D2D

Resource Allocation for Full-Duplex Relay-Assisted Device-to-Device Multicarrier Systems

“…Proof: See Appendix in [12]. Lemma 2: For bounded x > 0, if f (x) is a quasi-concave function with respect to x, then t(x) = log 2 (1 + f (x)) will also be a quasi-concave function with respect to x.…”

Optimal Routing for Multihop Social-Based D2D Communications in the Internet of Things

“…Zheng et al [11] proposed a scheme that allows D2D communications to underlay a cellular network through FD relaying. In [12], an outage performance analysis of FD relay-assisted D2D systems in a cellular network was provided.…”

“…Then the CDF and PDF of B can be obtained as (12) at the top of the next page, where for brevity and ease of exposition, we let t = |h i,i+1 | 2 in (a) and the PDF of t is e −t , and (b) holds for the probability generating functional, and…”

Full-Duplex or Half-Duplex D2D Mode? Closed Form Expression of the Optimal Power Allocation

“…Furthermore, the path-loss attenuation can be expressed by l i,j = d −α ij where α is the standard path loss exponent and d ij is the distance between the transmitter i and the receiver j. Considering an interference limited system as in [10], [11], i.e., the receiver noise is negligible, the instantaneous Signal-to-Interference ratios (SIRs) of the CUE, of the first D2D user (D1) and of the second D2D user (D2) can be respectively expressed as:…”

“…Thus, the D2D users must switch to the HD mode. Now in order to investigate the rates in the remaining regions we derived the limits of R D1 , R D2 , R HD D1 , and R HD D2 , which are respectively defined in (10) and (14), as follows:…”