Performance of Large Intelligent Surface-enabled Cooperative Networks Over Nakagami-m Channels
Madi Makin, Galymzhan Nauryzbayev, Sultangali Arzykulov, Mohammad Hashmi
Abstract
In this paper, we analyze the system performance of a large intelligent surface (LIS) enabled wireless system over Nakagami-m channels. We derive closed-form expressions of the outage probability, ergodic capacity, and average bit error rate using different approximation methods, namely, central limit theorem (CLT), Gamma and generalized-K <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$(K_{\mathrm{G}})$</tex> . The effects of a number of passive LIS pixels <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$(N)$</tex> and fading parameters on the system performance are examined. Results show that the Gamma and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$K_{\mathrm{G}}$</tex> approximations are precise given different values of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$N$</tex> , while the CLT approximation's accuracy depends on the number of LIS elements implemented. Finally, analytical findings are validated by thorough Monte Carlo simulations.