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Main Authors: Wang, Xinquan, Ying, Mingjun, Chen, Hongren, Qian, Guanyue, Liu, Xingchen, Ma, Peijie, Shakya, Dipankar, Argyropoulos, Christos, Rappaport, Theodore S.
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.07219
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author Wang, Xinquan
Ying, Mingjun
Chen, Hongren
Qian, Guanyue
Liu, Xingchen
Ma, Peijie
Shakya, Dipankar
Argyropoulos, Christos
Rappaport, Theodore S.
author_facet Wang, Xinquan
Ying, Mingjun
Chen, Hongren
Qian, Guanyue
Liu, Xingchen
Ma, Peijie
Shakya, Dipankar
Argyropoulos, Christos
Rappaport, Theodore S.
contents Sub-terahertz (sub-THz) multi-user multiple-input multiple-output (MU-MIMO) systems unlock immense bandwidth for 6G wireless communications. However, practical deployment of wireless systems in sub-THz bands faces critical challenges such as increased atmospheric absorption, reduced channel coherence time due to increased Doppler spread at higher carrier frequencies, and hardware bottlenecks as low-loss sub-THz phase shifters are difficult to realize. To overcome the hardware and channel estimation challenges of sub-THz systems, this paper proposes a hybrid beamforming (BF) framework that integrates reconfigurable liquid crystal (LC) antennas with a liquid neural network (LNN) for transmitter. Specifically, we employ an LC antenna as the analog BF stage of a hybrid BF architecture, exploiting its voltage-driven permittivity tunability to achieve high-gain beam steering without the need for lossy phase shifters. For digital BF, we utilize an ordinary differential equations-defined LNN to learn temporal channel dynamics, and use a manifold optimization technique to compress the search space. We validated the proposed method on simulated site-specific 108 GHz ray-tracing channels in an urban scenario using NYURay, a ray-tracing simulator validated against 142 GHz propagation measurements. The 108 GHz carrier frequency matches the operating band of the LC antenna hardware. The proposed method achieves an 88.6\% spectral efficiency (SE) gain and higher robustness to imperfect channel estimation compared to the learning-aided gradient descent and gated recurrent unit machine learning baselines, and 1.9 times higher SE than the 3GPP TR~38.901 standard antenna model, highlighting the potential of LC-based hardware for sub-THz communications.
format Preprint
id arxiv_https___arxiv_org_abs_2604_07219
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Robust Hybrid Beamforming with Liquid Crystal Antennas and Liquid Neural Networks
Wang, Xinquan
Ying, Mingjun
Chen, Hongren
Qian, Guanyue
Liu, Xingchen
Ma, Peijie
Shakya, Dipankar
Argyropoulos, Christos
Rappaport, Theodore S.
Information Theory
Signal Processing
Sub-terahertz (sub-THz) multi-user multiple-input multiple-output (MU-MIMO) systems unlock immense bandwidth for 6G wireless communications. However, practical deployment of wireless systems in sub-THz bands faces critical challenges such as increased atmospheric absorption, reduced channel coherence time due to increased Doppler spread at higher carrier frequencies, and hardware bottlenecks as low-loss sub-THz phase shifters are difficult to realize. To overcome the hardware and channel estimation challenges of sub-THz systems, this paper proposes a hybrid beamforming (BF) framework that integrates reconfigurable liquid crystal (LC) antennas with a liquid neural network (LNN) for transmitter. Specifically, we employ an LC antenna as the analog BF stage of a hybrid BF architecture, exploiting its voltage-driven permittivity tunability to achieve high-gain beam steering without the need for lossy phase shifters. For digital BF, we utilize an ordinary differential equations-defined LNN to learn temporal channel dynamics, and use a manifold optimization technique to compress the search space. We validated the proposed method on simulated site-specific 108 GHz ray-tracing channels in an urban scenario using NYURay, a ray-tracing simulator validated against 142 GHz propagation measurements. The 108 GHz carrier frequency matches the operating band of the LC antenna hardware. The proposed method achieves an 88.6\% spectral efficiency (SE) gain and higher robustness to imperfect channel estimation compared to the learning-aided gradient descent and gated recurrent unit machine learning baselines, and 1.9 times higher SE than the 3GPP TR~38.901 standard antenna model, highlighting the potential of LC-based hardware for sub-THz communications.
title Robust Hybrid Beamforming with Liquid Crystal Antennas and Liquid Neural Networks
topic Information Theory
Signal Processing
url https://arxiv.org/abs/2604.07219