University of Hertfordshire

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Ergodic Capacity of IRS-Assisted MIMO Systems with Correlation and Practical Phase-Shift Modeling

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Original languageEnglish
Pages (from-to)421-425
Number of pages5
JournalIEEE Wireless Communications Letters
Publication statusPublished - 1 Feb 2022
Externally publishedYes


We focus on the maximization of the exact ergodic capacity (EC) of a point-to-point multiple-input multiple-output (MIMO) system assisted by an intelligent reflecting surface (IRS). In addition, we account for the effects of correlated Rayleigh fading and the intertwinement between the amplitude and the phase shift of the reflecting coefficient of each IRS element, which are usually both neglected despite their presence in practice. Random matrix theory tools allow to derive the probability density function (PDF) of the cascaded channel in closed form, and subsequently, the EC, which depend only on the large-scale statistics and the phase shifts. Notably, we optimize the EC with respect to the phase shifts with low overhead, i.e., once per several coherence intervals instead of the burden of frequent necessary optimization required by expressions being dependent on instantaneous channel information. Monte-Carlo (MC) simulations verify the analytical results and demonstrate the insightful interplay among the key parameters and their impact on the EC.


Funding Information: This work was supported in part by the University of Hertfordshire?s 5-Year Vice Chancellor?s Research Fellowship and in part by the National Research Fund, Luxembourg, through the Project RISOTTI. Publisher Copyright: © 2012 IEEE.

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