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Md. Jahangir Hossain

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2026

Training-Throughput Tradeoff in Stacked Intelligent Metasurface-Assisted Multi-User MISO Systems

Unlike conventional massive multiple-input multiple-output (MIMO) architectures, stacked intelligent metasurface (SIM)-assisted communication systems can realize large-scale beamforming with a limited number of radio frequency chains by adaptively reconfiguring the meta-atom phase shifts across multiple layers. However, this reconfiguration requires channel state information, which is challenging to acquire for SIM-assisted systems and comes with a significant training overhead. This paper investigates the trade-off between training duration and achievable rates in SIM-assisted multi-user multiple-input single-output (MISO) systems, where channel estimation (CE) is performed in the hybrid digital-wave domain while downlink linear precoding is implemented purely in the electromagnetic wave domain by the SIM. The proposed estimator requires multiple CE sub-phases to estimate the channels for all users with high accuracy. We then utilize the derived estimates to develop an efficient optimization algorithm that designs the SIM response to realize regularized zero-forcing precoding in the wave domain. Analytical expressions of achievable rate bounds at the users are presented, and exhibit dependence on the training overhead and the channel coherence time. Numerical results demonstrate that carefully optimizing the number of training sub-phases yields significant rate gains compared to fixed training schemes, highlighting the importance of jointly designing training protocols and SIM phase shift configurations in SIM-assisted multi-user MISO systems. Additionally, we show that the optimal number of sub-phases to maximize net achievable sum-rate decreases when the channels exhibit high spatial correlation and thereby low rank.

Sarah Bahanshal, Qurrat-Ul-Ain Nadeem, Anas Chaaban et al. · 0 citations
#graph neural networks Preprint Aug 2026

Fast Tri-Hybrid Beamforming via Deep Unfolding

Tri-hybrid multiple-input multiple-output architectures have recently emerged as a promising enabler for next-generation wireless systems, as they potentially provide enhanced design flexibility without a proportional increase in hardware cost or power consumption. However, the resulting triple-domain coupling renders beamforming optimization challenging and computationally demanding. This paper develops a fast tri-hybrid beamforming framework for multiuser downlink systems employing dynamic metasurface antennas (DMAs). Based on the equivalence between weighted sum-rate maximization and weighted sum-minimum mean square error minimization, an iterative algorithm is first derived under per-DMA input power constraints, with all update equations available in closed form, but convergence inherently remains slow. To enable real-time operation, the algorithm is further unfolded into a trainable finite-iteration architecture using graph neural networks that ensure permutation equivariance and support varying numbers of users. Trained on ray-tracing channel data, the unfolded method achieves comparable or higher system sum-rates while reducing runtime by more than an order of magnitude. The method also demonstrates strong scalability, robustness, and generalization across various environments.

Pinjun Zheng, Md. Jahangir Hossain, Anas Chaaban · 0 citations

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