Low-Complexity SDP-ADMM for Physical-Layer Multicasting in Massive MIMO Systems

Fuente: arXiv
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Auteurs principaux: Zaher, Mahmoud, Björnson, Emil
Format: Preprint
Publié: 2025
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author Zaher, Mahmoud
Björnson, Emil
author_facet Zaher, Mahmoud
Björnson, Emil
contents There is a demand for the same data content from several user equipments (UEs) in many wireless communication applications. Physical-layer multicasting combines the beamforming capability of massive MIMO (multiple-input multiple-output) and the broadcast nature of the wireless channel to efficiently deliver the same data to a group of UEs using a single transmission. This paper tackles the max-min fair (MMF) multicast beamforming optimization, which is an NP-hard problem. We develop an efficient semidefinite program-alternating direction method of multipliers (SDP-ADMM) algorithm to find the near-global optimal rank-1 solution to the MMF multicast problem in a massive MIMO system. Numerical results show that the proposed SDP-ADMM algorithm exhibits similar spectral efficiency performance to state-of-the-art algorithms running on standard SDP solvers at a vastly reduced computational complexity. We highlight that the proposed ADMM elimination procedure can be employed as an effective low-complexity rank reduction method for other problems utilizing semidefinite relaxation.
format Preprint
id arxiv_https___arxiv_org_abs_2504_06090
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Low-Complexity SDP-ADMM for Physical-Layer Multicasting in Massive MIMO Systems
Zaher, Mahmoud
Björnson, Emil
Signal Processing
There is a demand for the same data content from several user equipments (UEs) in many wireless communication applications. Physical-layer multicasting combines the beamforming capability of massive MIMO (multiple-input multiple-output) and the broadcast nature of the wireless channel to efficiently deliver the same data to a group of UEs using a single transmission. This paper tackles the max-min fair (MMF) multicast beamforming optimization, which is an NP-hard problem. We develop an efficient semidefinite program-alternating direction method of multipliers (SDP-ADMM) algorithm to find the near-global optimal rank-1 solution to the MMF multicast problem in a massive MIMO system. Numerical results show that the proposed SDP-ADMM algorithm exhibits similar spectral efficiency performance to state-of-the-art algorithms running on standard SDP solvers at a vastly reduced computational complexity. We highlight that the proposed ADMM elimination procedure can be employed as an effective low-complexity rank reduction method for other problems utilizing semidefinite relaxation.
title Low-Complexity SDP-ADMM for Physical-Layer Multicasting in Massive MIMO Systems
topic Signal Processing
url https://arxiv.org/abs/2504.06090