毫米波信道中波束成形矢量的波束宽度

doi:10.11959/j.issn.1000-0801.2022288

Abstract

Abstract:

The beamforming technology is one of the core technologies in 5G and it can concentrate the transmitted energy in a specified area, thereby improving the performance of the system.But it is because of this feature that the energy is concentrated，any changes of the channel may cause to keep the receiver outside the specified area, and therefore, the performance of robustness is reduced.The concept of the beam width of a beamforming is one of the indicators to measure this tradeoff.Existing definition of beam widths are based on antennas, not on beamforming.Interms of beamforming, the definition of beam width was given and studied with the help of the concept in Grassmannian manifolds.On this basis, the method of beam width was discussed.It is found that the beam width of beamforming is closely related to the number of the transmitting antennas.The more the number of antennas, the more concentrated the energy, and the weaker robustness is.

Key words: millimeter wave, beamforming, beam width, Grassmannian manifold, beam broadening

CLC Number:

TN91

Binjian LOU, Haiquan WANG, Yi HUANG, Ziwei LI, Yunyun YU. Beamwidth of beamforming vectors in millimeter-wave channels[J]. Telecommunications Science, 2022, 38(11): 47-56.

Figures/Tables 7

天线数/根	$f_{S} (ϕ = 0) / rad$	$f_{I} / rad$	$f_{λ} (λ = \frac{\sqrt{2}}{2}) / rad$
16	0.254 4	0.262 8	0.264 6
32	0.127 0	0.131 6	0.132 2
48	0.084 6	0.087 7	0.088 1
64	0.063 5	0.065 8	0.066 1
96	0.042 3	0.043 9	0.044 1
128	0.031 7	0.032 9	0.033 0
150	0.027 1	0.028 1	0.028 2
192	0.021 2	0.021 9	0.022 0
256	0.015 9	0.016 4	0.016 5

References 15

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天线数/根	16	32	48	64	96	128	150	192	256
波束宽度/rad	0.171 8	0.086 2	0.055 4	0.043 2	0.028 1	0.021 4	0.018 1	0.015 2	0.0119

天线数/根	16	32	48	64	96	128	150	192	256
波束宽度/rad	0.172 5	0.086 3	0.055 6	0.043 2	0.028 1	0.021 4	0.018 1	on.DSMT	0.011 9

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