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In this letter, we present an intelligent reflecting surface (IRS) selectionstrategy for multiple IRSs aided multiuser multiple-input single-output (MISO)systems. In particular, we pose the IRS selection problem as a stable matchingproblem. A two stage user-IRS assignment algorithm is proposed, where the mainobjective is to carry out a stable user-IRS matching, such that the sum rate ofthe system is improved. The first stage of the proposed algorithm employs awell-known Gale Shapley matching designed for the stable marriage problem.However, due to interference in multiuser systems, the matching obtained afterthe first stage may not be stable. To overcome this issue, one-sided (i.e.,only IRSs) blocking pairs (BPs) are identified in the second stage of theproposed algorithm, where the BP is a pair of IRSs which are better off afterexchanging their partners. Thus, the second stage validates the stable matchingin the proposed algorithm. Numerical results show that the proposed assignmentachieves better sum rate performance compared to distance-based and randommatching algorithms.

Stable Matching for Selection of Intelligent Reflecting Surfaces in Multiuser MISO Systems