University of Hertfordshire

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Coverage Probability of Double-IRS Assisted Communication Systems

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Original languageEnglish
Pages (from-to)96-100
Number of pages5
JournalIEEE Wireless Communications Letters
Publication statusPublished - 1 Jan 2022


In this letter, we focus on the coverage probability of a double-intelligent reflecting surface (IRS) assisted wireless network and study the impact of multiplicative beamforming gain and correlated Rayleigh fading. In particular, we obtain a novel closed-form expression of the coverage probability of a single-input single-output (SISO) system assisted by two large IRSs while being dependent on the corresponding arbitrary reflecting beamforming matrices (RBMs) and large-scale statistics in terms of correlation matrices. Taking advantage of the large-scale statistics, i.e., statistical channel state information (CSI), we perform optimization of the RBMs of both IRSs once per several coherence intervals rather than at each interval. Hence, we achieve a reduction of the computational complexity, otherwise increased in multi-IRS-assisted networks during their RBM optimization. Numerical results validate the analytical expressions even for small IRSs, confirm enhanced performance over the conventional single-IRS counterpart, and reveal insightful properties.


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 Luxembourg National Research Fund (FNR) under the CORE project RISOTTI under Grant C20/IS/14773976 Publisher Copyright: © 2012 IEEE.

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