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In this work, we investigate the performance of a millimeter waves (mmWaves)cellular system with free space optical (FSO) backhauling. MmWave channels aresubject to Nakagami-m fading while the optical links experience the DoubleGeneralized Gamma including atmospheric turbulence, path loss and themisalignment between the transmitter and the receiver aperture (also known asthe pointing errors). The FSO model also takes into account the receiverdetection technique which could be either heterodyne or intensity modulationand direct detection (IM/DD). Each user equipment (UE) has to be associated toone serving base station (BS) based on the received signal strength (RSS) orChannel State Information (CSI). We assume partial relay selection (PRS) withCSI based on mmWaves channels to select the BS associated with the highestreceived 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 solidstate power amplifier (SSPA). Novel closed-forms and tight upper bounds of theoutage probability, the probability of error, and the achievable rate arederived. Capitalizing on these performance, we derive the high SNR asymptotesto get engineering insights into the system gain such as the diversity order.

Tractable Approach to MmWaves Cellular Analysis with FSO Backhauling under Feedback Delay and Hardware Limitations