Analytical Framework for Effective Degrees of Freedom in Near-Field XL-MIMO

Fuente: arXiv
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Auteurs principaux: Wang, Zhe, Zhang, Jiayi, Yi, Wenhui, Xiao, Huahua, Du, Hongyang, Niyato, Dusit, Ai, Bo, Ng, Derrick Wing Kwan
Format: Preprint
Publié: 2024
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author Wang, Zhe
Zhang, Jiayi
Yi, Wenhui
Xiao, Huahua
Du, Hongyang
Niyato, Dusit
Ai, Bo
Ng, Derrick Wing Kwan
author_facet Wang, Zhe
Zhang, Jiayi
Yi, Wenhui
Xiao, Huahua
Du, Hongyang
Niyato, Dusit
Ai, Bo
Ng, Derrick Wing Kwan
contents Extremely large-scale multiple-input-multiple-output (XL-MIMO) is an emerging transceiver technology for enabling next-generation communication systems, due to its potential for substantial enhancement in both the spectral efficiency and spatial resolution. However, the achievable performance limits of various promising XL-MIMO configurations have yet to be fully evaluated, compared, and discussed. In this paper, we develop an effective degrees of freedom (EDoF) performance analysis framework specifically tailored for near-field XL-MIMO systems. We explore five representative distinct XL-MIMO hardware designs, including uniform planar array (UPA)-based with infinitely thin dipoles, two-dimensional (2D) continuous aperture (CAP) plane-based, UPA-based with patch antennas, uniform linear array (ULA)-based, and one-dimensional (1D) CAP line segment-based XL-MIMO systems. Our analysis encompasses two near-field channel models: the scalar and dyadic Green's function-based channel models. More importantly, when applying the scalar Green's function-based channel, we derive EDoF expressions in the closed-form, characterizing the impacts of the physical size of the transceiver, the transmitting distance, and the carrier frequency. In our numerical results, we evaluate and compare the EDoF performance across all examined XL-MIMO designs, confirming the accuracy of our proposed closed-form expressions. Furthermore, we observe that with an increasing number of antennas, the EDoF performance for both UPA-based and ULA-based systems approaches that of 2D CAP plane and 1D CAP line segment-based systems, respectively. Moreover, we unveil that the EDoF performance for near-field XL-MIMO systems is predominantly determined by the array aperture size rather than the sheer number of antennas.
format Preprint
id arxiv_https___arxiv_org_abs_2401_15280
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Analytical Framework for Effective Degrees of Freedom in Near-Field XL-MIMO
Wang, Zhe
Zhang, Jiayi
Yi, Wenhui
Xiao, Huahua
Du, Hongyang
Niyato, Dusit
Ai, Bo
Ng, Derrick Wing Kwan
Information Theory
Signal Processing
Extremely large-scale multiple-input-multiple-output (XL-MIMO) is an emerging transceiver technology for enabling next-generation communication systems, due to its potential for substantial enhancement in both the spectral efficiency and spatial resolution. However, the achievable performance limits of various promising XL-MIMO configurations have yet to be fully evaluated, compared, and discussed. In this paper, we develop an effective degrees of freedom (EDoF) performance analysis framework specifically tailored for near-field XL-MIMO systems. We explore five representative distinct XL-MIMO hardware designs, including uniform planar array (UPA)-based with infinitely thin dipoles, two-dimensional (2D) continuous aperture (CAP) plane-based, UPA-based with patch antennas, uniform linear array (ULA)-based, and one-dimensional (1D) CAP line segment-based XL-MIMO systems. Our analysis encompasses two near-field channel models: the scalar and dyadic Green's function-based channel models. More importantly, when applying the scalar Green's function-based channel, we derive EDoF expressions in the closed-form, characterizing the impacts of the physical size of the transceiver, the transmitting distance, and the carrier frequency. In our numerical results, we evaluate and compare the EDoF performance across all examined XL-MIMO designs, confirming the accuracy of our proposed closed-form expressions. Furthermore, we observe that with an increasing number of antennas, the EDoF performance for both UPA-based and ULA-based systems approaches that of 2D CAP plane and 1D CAP line segment-based systems, respectively. Moreover, we unveil that the EDoF performance for near-field XL-MIMO systems is predominantly determined by the array aperture size rather than the sheer number of antennas.
title Analytical Framework for Effective Degrees of Freedom in Near-Field XL-MIMO
topic Information Theory
Signal Processing
url https://arxiv.org/abs/2401.15280