University of Hertfordshire

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Outage probability analysis of IRS-assisted systems under spatially correlated channels

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Original languageEnglish
Article number9437332
Pages (from-to)1815-1819
Number of pages5
JournalIEEE Wireless Communications Letters
Publication statusPublished - Aug 2021
Externally publishedYes


This letter investigates the impact of spatial channel correlation on the outage probability of intelligent reflecting surface (IRS)-assisted single-input single-output (SISO) communication systems. In particular, we derive a novel closed-form expression of the outage probability for arbitrary phase shifts and correlation matrices of the indirect channels. To shed light on the impact of the spatial correlation, we further attain the closed-form expressions for two common scenarios met in the literature when the large-scale fading coefficients are expressed by the loss over a propagation distance. Numerical results validate the tightness and effectiveness of the closed-form expressions. Furthermore, the spatial correlation offers significant decreases in the outage probability as the direct channel is blocked.


Funding Information: Manuscript received February 22, 2021; revised April 21, 2021; accepted May 14, 2021. Date of publication May 20, 2021; date of current version August 9, 2021. This work was supported by RISOTTI-Reconfigurable Intelligent Surface for Smart Cities under Project FNR/C20/IS/14773976/RISOTTI. The associate editor coordinating the review of this article and approving it for publication was S. Bi. (Corresponding author: Trinh Van Chien.) Trinh Van Chien, Symeon Chatzinotas, and Björn Ottersten are with SnT, University of Luxembourg, 1855 Luxembourg City, Luxembourg (e-mail:;; bjorn.ottersten@ Publisher Copyright: © 2012 IEEE.

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