In this work, we investigate the performance of a millimeter waves (mmWaves) cellular system with free space optical (FSO) backhauling. MmWave channels are subject to Nakagami-m fading while the optical links experience the Double Generalized Gamma including atmospheric turbulence, path loss and the misalignment between the transmitter and the receiver aperture (also known as the pointing errors). The FSO model also takes into account the receiver detection technique which could be either heterodyne or intensity modulation and direct detection (IM/DD). Each user equipment (UE) has to be associated to one serving base station (BS) based on the received signal strength (RSS) or Channel State Information (CSI). We assume partial relay selection (PRS) with CSI based on mmWaves channels to select the BS associated with the highest received CSI. Each serving BS decodes the received signal for denoising, converts it into modulated FSO signal, and then forwards it to the data center. Thereby, each BS can be viewed as a decode-and-forward (DF) relay. In practice, the relay hardware suffers from nonlinear high power amplification (HPA) impairments which, substantially degrade the system performance. In this work, we will discuss the impacts of three common HPA impairments named respectively, soft envelope limiter (SEL), traveling wave tube amplifier (TWTA), and solid state power amplifier (SSPA). Novel closed-forms and tight upper bounds of the outage probability, the probability of error, and the achievable rate are derived. Capitalizing on these performance, we derive the high SNR asymptotes to get engineering insights into the system gain such as the diversity order.
I. INTRODUCTIONWith the rapid increase of the internet base, the mobile stations, and the extremely high demand for bandwidth, the microwave Radio Frequency (RF) cellular systems have reached a saturation level owing to the limited spectrum, and expensive access licence. Although, many research attempts in cognitive radio allow parallel utilization of the bandwidth between the primary and secondary users, the last ones still suffer from the spectrum drought since they are always leveraging from some spectrum holes left by the primary users. Moreover, the backhaul network cannot support the big data flow even for the licenced primary ones.Moreover, the backhaul network cannot support the big data flow even for the licenced primary ones. Recent attempts have proposed the usage of optical fibers (OF) as a solution for the backhaul network congestion. However, for ultra dense cellular networks, a large number of OF are needed given that these cable installations are very costly and the space installation of such cables to serve large number of cells/users are limited and even restricted in some areas.
A. MotivationTo support such network densification, millimeter waves (mmWaves) technology, which refers to the spectrum from 28 to 300 GHz, has emerged as a promising solution to replace microwave communications. In fact, mmWaves provide a large available spectrum...