Simulation Techniques of Digital Twin in Real-Time Applications

9MGF-Based BER and Channel Capacity Analysis of Fisher Snedecor Composite Fading Model

Hari Shankar^* and Yogesh

Department of Computer Science and Engineering, Chitkara University Institute of Engineering and Technology, Chitkara University, Rajpura, Punjab, India

Abstract

This chapter introduces the moment generating function (MGF)-based performance for Fisher Snedecor (F) fading model over device-to-device (D2D) communication channels. At first, the probability density function (PDF) of this new fading model is presented, and then the corresponding expression of MGF is obtained. Using MGF, the average bit error rate (ABER) expressions for binary and multilevel signaling are derived. We further derive the channel capacity expressions under various transmission protocols like optimal rate adaption (ORA) and channel inversion with fixed rate (CIFR). The numerical results are presented as the function of average signal-to-noise ratio (SNR) with different fading parameters and compared with the Monte Carlo simulation results for validation purposes. The result shows that error rate and channel capacity have better performance for higher fading severity.

Keywords: Composite fading, shadowing, ABER, channel capacity, moment generating function

9.1 Introduction

In a wireless communication system, the received signal is generally characterized by both multipath fading and shadowing effects. Multipath fading or small-scale fading occurs due to reflection, refraction, and scattering ...