Minimum Mean Squared Error Holographic Beamforming for Sum-Rate Maximization

hybrid beamforming; MMSE; Reconfigurable holographic surfaces; sum-rate maximization; Alternating optimizations; Hybrid beamforming; Mathematical relationship; Mean squared error; Minimum mean squared error; Minimum mean squared error criterions; Minimum MSE; Reconfigurable; Reconfigurable holographic surface; Sum-rate maximizations; Control and Systems Engineering; Electrical and Electronic Engineering; Array signal processing; Optimization; Radio frequency; Feeds; Baseband; Transmission line matrix methods; Linear programming; Surface waves; Europe; Convergence

Abstract :

[en] This letter studies the problem of hybrid holographic beamforming for sum-rate maximization in a reconfigurable holographic surface (RHS) assisted system. We establish the mathematical relationship between the mean squared error (MSE) and the holographic response of the RHS to enable alternating optimization based on the minimum MSE (MMSE) criterion. Our analysis demonstrates that this relationship exhibits a quadratic dependency on each element of the holographic beamformer. Exploiting this property, we derive closed-form optimal expressions for updating the holographic beamforming weights, resulting in linear complexity in terms of the RHS size, thereby ensuring scalability for large-scale deployments. The presented simulation results validate the effectiveness of our MMSE-based holographic approach, providing useful insights.

Disciplines :

Electrical & electronics engineering

Author, co-author :

SHEEMAR, Chandan Kumar ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SigCom

KHAN, Wali Ullah ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SigCom

Alexandropoulos, George C. ; National and Kapodistrian University of Athens, Department of Informatics and Telecommunications, Athens, Greece

Ahmed, Manzoor ; Hubei Engineering University, School of Computer and Information Science, Institute for AI Industrial Technology Research, Xiaogan, China

CHATZINOTAS, Symeon ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SigCom

External co-authors :

yes

Language :

English

Title :

Minimum Mean Squared Error Holographic Beamforming for Sum-Rate Maximization

Publication date :

2025

Journal title :

IEEE Wireless Communications Letters

ISSN :

2162-2337

eISSN :

2162-2345

Publisher :

Institute of Electrical and Electronics Engineers Inc.

Volume :

Issue :

Pages :

3039 - 3043

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://xplorestaging.ieee.org/ielx8/5962382/11197164/11054266.pdf?arnumber=11054266

Funders :

Smart Networks and Services Joint Undertaking (SNS JU) Project TERRAMETA under the European Union’s Horizon Europe Research and Innovation Programme
U.K. Research and Innovation (UKRI) under the U.K. government’s Horizon Europe

Funding text :

This work was supported in part by the Smart Networks and Services Joint Undertaking (SNS JU) Project TERRAMETA under the European Union\u2019s Horizon Europe Research and Innovation Programme under Grant 101097101, and in part by the including top-up funding by U.K. Research and Innovation (UKRI) under the U.K. government\u2019s Horizon Europe funding guarantee.

Available on ORBilu :

since 08 December 2025

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Bibliography

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