Papers › A Novel SCA-Based Method for Beamforming Optimization in IRS/RIS-Assisted MU-MISO Downlink

A Novel SCA-Based Method for Beamforming Optimization in IRS/RIS-Assisted MU-MISO Downlink

25 Aug 2022arXiv:2208.12053archive 2025-07-28

Vaibhav Kumar, Rui Zhang, Marco Di Renzo, Le-Nam Tran

In this letter, we consider the fundamental problem of jointly designing the transmit beamformers and the phase-shifts of the intelligent reflecting surface (IRS) / reconfigurable intelligent surface (RIS) to minimize the transmit power, subject to quality-of-service constraints at individual users in an IRS-assisted multiuser multiple-input single-output downlink communication system. In particular, we propose a new successive convex approximation based second-order cone programming approach in which all the optimization variables are simultaneously updated in each iteration. Our proposed scheme achieves superior performance compared to state-of-the-art benchmark solutions. In addition, the complexity of the proposed scheme is O(Nₛ^(3.5)), while that of state-of-the-art benchmark schemes is O(Nₛ⁷), where Nₛ denotes the number of reflecting elements at the IRS.

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