Large Intelligent Surfaces With Discrete Set of Phase-Shifts
Communicating Through Double-Rayleigh Fading Channels
Abstract
It is known that the Central Limit Theorem (CLT) is not always the most
appropriate tool for deriving closed-form expressions. We evaluate a
Single-Input Single-Output (SISO) system performance in which the Large
Intelligent Surface (LIS) acts as a scatterer. The direct link between
the transmitting and receiving devices is negligible. Quantization phase
errors are considered since the high precision configuration of the
reflection phases is not always feasible. We derive exact closed-form
expressions for the spectral efficiencies, outage probabilities, and
average symbol error rate (SER) of different modulations. We assume a
more comprehensive scenario in which $b$ bits are dedicated to the LIS
elements’ phase adjustment. From Monte Carlo simulations, we prove the
excellent accuracy of our approach and investigate the behavior of power
scaling law and power required to reach a specific capacity, depending
on the number of reflecting elements. We show that the LIS with
approximately fifty elements and four dedicated bits for phase
quantization outperforms the conventional system performance without
LIS.