Function (biology)

Biology

Statistics

Fading

Applied mathematics

Closed-form expression

Expression (computer science)

Telecommunications

Computer science

Scaling

Statistical physics

Evolutionary biology

Physics

Upper and lower bounds

Mathematics

Rayleigh fading

Mathematical analysis

Geometry

Combinatorics

Probability density function

Monte Carlo method

Programming language

Channel (broadcasting)

Topology (electrical circuits)

Channel capacity

Ergodic theory

IEEE Communications Letters

This letter 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.

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