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arXiv · 2406.16548

The Derivation of The Probability of Error for BPSK, 16-QAM and 64-QAM in Rayleigh Fading Channel: A Unified Approach

Amr Abdelbari·Bülent Bilgehan
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Abstract

Understanding the probability of error is paramount in the design and analysis of digital communication systems, particularly in Rayleigh fading channels where signal impairments are prevalent. This article presents a unified approach for deriving the probability of error formulations applicable to Binary Phase Shift Keying (BPSK), 16-Quadrature Amplitude Modulation (16-QAM), and 64-QAM in Rayleigh fading channels. This article presents a general approach to derive the probability of error formulations applicable to Binary Phase Shift Keying (BPSK), 16-Quadruple Amplitude Modulation (16-QAM) and 64-QAM in Rayleigh fading channels. The derivation process encompasses the unique characteristics of each modulation scheme and the statistical properties of Rayleigh fading providing a comprehensive framework to analyze error performance. By establishing a unified formulation, this approach simplifies the analysis and facilitates a deeper understanding of error probability behavior across different modulation schemes. The derived formulations offer insights into the impact of fading-induced impairments on system performance, allowing for accurate prediction and optimization of communication systems in real-world fading environments. The insights and techniques presented herein serve as a valuable resource for researchers, engineers, and practitioners engaged in the design and optimization of communication systems operating in challenging fading environments.

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Amr Abdelbari, Bülent Bilgehan. 2024-06-24. The Derivation of The Probability of Error for BPSK, 16-QAM and 64-QAM in Rayleigh Fading Channel: A Unified Approach. https://arxiv.org/abs/2406.16548

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