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arXiv 2411.18878cs.ITeess.SPmath.IT

基于菲涅尔区的RIS近场宽带波束成形

Near-Field Wideband Beamforming for RIS Based on Fresnel Zone

Qiumo Yu, Linglong Dai

AI总结:

针对RIS近场宽带通信中波束分裂导致的增益损失问题,利用菲涅尔区特性设计二维波束成形,通过对齐同菲涅尔区单元相移并结合稳相法与GS算法,实现带内均匀增益并接近速率上界,有效缓解波束分裂效应。

摘要:

可重构智能表面(RIS)已成为克服毫米波(mmWave)和太赫兹(THz)通信系统中高路径损耗与信号易阻塞挑战的有前景方案。随着RIS孔径与系统带宽的增加,近场波束分裂效应出现,导致不同频率的波束聚焦于不同物理位置,引发波束成形增益显著损失。为解决此问题,我们利用菲涅尔区的特性——沿单个菲涅尔区的RIS单元无波束分裂,并提出沿菲涅尔区和跨菲涅尔区二维的波束成形设计。沿同一菲涅尔区的RIS单元相移被设计为对齐,使这些单元反射的信号在接收端无论频率如何都能同相叠加。随后,等效信道的表达式被简化为跨菲涅尔区反射强度的傅里叶变换,由设计的相位调制。基于此关系,我们证明沿菲涅尔区相位对齐的带内均匀分布增益可达到可实现速率的上界。最后,我们采用稳相法和Gerchberg-Saxton(GS)算法设计RIS相移以接近该上界。仿真结果验证了我们提出的基于菲涅尔区的方法在缓解近场波束分裂效应方面的有效性。

英文摘要:

Reconfigurable intelligent surface (RIS) has emerged as a promising solution to overcome the challenges of high path loss and easy signal blockage in millimeter-wave (mmWave) and terahertz (THz) communication systems. With the increase of RIS aperture and system bandwidth, the near-field beam split effect emerges, which causes beams at different frequencies to focus on distinct physical locations, leading to a significant gain loss of beamforming. To address this problem, we leverage the property of Fresnel zone that the beam split disappears for RIS elements along a single Fresnel zone and propose beamforming design on the two dimensions of along and across the Fresnel zones. The phase shift of RIS elements along the same Fresnel zone are designed aligned, so that the signal reflected by these element can add up in-phase at the receiver regardless of the frequency. Then the expression of equivalent channel is simplified to the Fourier transform of reflective intensity across Fresnel zones modulated by the designed phase. Based on this relationship, we prove that the uniformly distributed in-band gain with aligned phase along the Fresnel zone leads to the upper bound of achievable rate. Finally, we design phase shifts of RIS to approach this upper bound by adopting the stationary phase method as well as the Gerchberg-Saxton (GS) algorithm. Simulation results validate the effectiveness of our proposed Fresnel zone-based method in mitigating the near-field beam split effect.

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