Accurate Performance Analysis of Reconfigurable Intelligent Surfaces Over Rician Fading Channels

• Published in: IEEE wireless communications letters Vol. 10; no. 5; pp. 1051 - 1055
• Main Authors: Salhab, Anas M., Samuh, Monjed H.
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.05.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: accurate approximations; Asymptotic properties; Channel capacity; Channels; Closed form solutions; Codes; Exact solutions; Fading; Mathematical analysis; Power system reliability; Probability; Probability density function; Reconfigurable intelligent surface; Reconfigurable intelligent surfaces; Rician channels; Rician fading channel; Shape; Signal to noise ratio; Wireless networks
• ISSN: 2162-2337; 2162-2345
• DOI: 10.1109/LWC.2021.3056758

We consider in this letter the performance of reconfigurable intelligent surface (RIS)-aided wireless networks over Rician fading channels. We derive new accurate closed-form approximations for several performance measures, including the outage probability, average symbol error probability (ASEP), and the channel capacity. Additionally, to get more insights into the system behavior, we derive asymptotic expression for the outage probability at high signal-to-noise ratio (SNR) values, and provide closed-form expressions for the system diversity order and coding gain. Findings show that the considered RIS scenario can provide a diversity order of <inline-formula> <tex-math notation="LaTeX">\frac {a+1}{2} </tex-math></inline-formula>, where <inline-formula> <tex-math notation="LaTeX">{a} </tex-math></inline-formula> is a function of the Rician channel <inline-formula> <tex-math notation="LaTeX">{K} </tex-math></inline-formula>-factor, Rician channel scale parameter <inline-formula> <tex-math notation="LaTeX">\boldsymbol{\Omega } </tex-math></inline-formula> and the number of reflecting elements <inline-formula> <tex-math notation="LaTeX">{N} </tex-math></inline-formula>.