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Hierarchical Beam Training and Codebook Design for Movable Antenna-Assisted Near-Field Systems

Abstract

As sixth-generation (6G) communication systems evolve toward higher frequency bands and larger array apertures, the near-field range expands rapidly, making near-field channel estimation increasingly important and challenging. Beam training has been recognized as an effective approach for channel state information (CSI) acquisition. However, because of the propagation characteristics of spherical waves, beam training needs to perform a joint search in the angle and distance domains, which results in unaffordable beam training overhead. By flexibly reconfiguring antenna positions, movable antenna (MA) technology can fully exploit the spatial variations of wireless channels and achieve more accurate beam focusing, thereby providing additional flexibility for efficient beam training design. Therefore, based on MA-assisted near-field systems, we develop a hierarchical beam training strategy that combines reduced training overhead with high beam gain and design a corresponding hierarchical codebook. This codebook forms focused beams over the joint angle-distance domain, maximizing beam gain within the target region while suppressing energy leakage into non-target regions. Simulation results confirm substantial performance gains of the method over the conventional fixed-position antenna (FPA) system and the far-field beam training method.

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BibTeX
@misc{liu2026hierarchical,
  title = {{Hierarchical Beam Training and Codebook Design for Movable Antenna-Assisted Near-Field Systems}},
  author = {Meihui Liu and Qian Zhang and Xuejun Cheng and Yuhui Jiao and Yunxiao Li and Ju Liu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.03776},
  eprint = {2609.03776},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.03776},
}
RIS
TY  - UNPB
TI  - Hierarchical Beam Training and Codebook Design for Movable Antenna-Assisted Near-Field Systems
AU  - Meihui Liu
AU  - Qian Zhang
AU  - Xuejun Cheng
AU  - Yuhui Jiao
AU  - Yunxiao Li
AU  - Ju Liu
PY  - 2026
DA  - 2026/09/03
PB  - arXiv
DO  - 10.48550/arxiv.2609.03776
UR  - https://arxiv.org/abs/2609.03776
AB  - As sixth-generation (6G) communication systems evolve toward higher frequency bands and larger array apertures, the near-field range expands rapidly, making near-field channel estimation increasingly important and challenging. Beam training has been recognized as an effective approach for channel state information (CSI) acquisition. However, because of the propagation characteristics of spherical waves, beam training needs to perform a joint search in the angle and distance domains, which results in unaffordable beam training overhead. By flexibly reconfiguring antenna positions, movable antenna (MA) technology can fully exploit the spatial variations of wireless channels and achieve more accurate beam focusing, thereby providing additional flexibility for efficient beam training design. Therefore, based on MA-assisted near-field systems, we develop a hierarchical beam training strategy that combines reduced training overhead with high beam gain and design a corresponding hierarchical codebook. This codebook forms focused beams over the joint angle-distance domain, maximizing beam gain within the target region while suppressing energy leakage into non-target regions. Simulation results confirm substantial performance gains of the method over the conventional fixed-position antenna (FPA) system and the far-field beam training method.
ER  -