English

Coverage Probability and Ergodic Capacity of Intelligent Reflecting Surface-Enhanced Communication Systems

Information Theory 2020-09-16 v1 math.IT

Abstract

This paper studies the performance of a single-input single-output (SISO) system enhanced by the assistance of an intelligent reflecting surface (IRS), which is equipped with a finite number of elements under Rayleigh fading channels. From the instantaneous channel capacity, we compute a closed-form expression of the coverage probability as a function of statistical channel information only. A scaling law of the coverage probability and the number of phase shifts is further obtained. The ergodic capacity is derived, then a simple upper bound to simplify matters of utilizing the symbolic functions and can be applied for a long period of time. Numerical results manifest the tightness and effectiveness of our closed-form expressions compared with Monte-Carlo simulations.

Keywords

Cite

@article{arxiv.2009.06926,
  title  = {Coverage Probability and Ergodic Capacity of Intelligent Reflecting Surface-Enhanced Communication Systems},
  author = {Trinh Van Chien and Lam Thanh Tu and Symeon Chatzinotas and Björn Ottersten},
  journal= {arXiv preprint arXiv:2009.06926},
  year   = {2020}
}

Comments

5 pages, 2 figures. Accepted by IEEE communications letters

R2 v1 2026-06-23T18:32:59.278Z