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Flexible-Sector 6DMA Base Station: Modeling and Design

Yunli Li, Xiaoming Shi, Xiaodan Shao, Jie Xu, Rui Zhang

TL;DR

The paper introduces a flexible-sector BS architecture based on six-dimensional movable antennas (6DMA) that jointly rotates sectors and moves antennas along a circular track to adapt to spatial user distributions. It develops an angular-domain FHPPP model for user locations, analyzes uplink performance with a ZF receiver, and formulates a two-step optimization to maximize the average sum rate via joint sector rotation and antenna allocation. Key findings include a linear relationship between allocated antennas and sector user counts, a potential $\log_2 B$ per-user rate gain under favorable distributions, and superior performance of the proposed design over benchmarks, especially for non-uniform, clustered user distributions. The results underscore the practicality and impact of dynamic spatial adaptation in sectorized 6DMA BSs for future wireless networks with heterogeneous user distributions and large antenna arrays.

Abstract

Six-dimensional movable antenna (6DMA) has emerged as a promising new technology for future wireless networks, which can adaptively adjust the three-dimensional (3D) positions and 3D rotations of antennas/antenna arrays for performance enhancement. This paper proposes a novel cost-effective 6DMA-based base station (BS) architecture, termed the \textit{flexible-sector} BS, which allows the deployed antennas to flexibly rotate and move along a circular track, thus enabling common sector rotation and flexible antenna allocation across sectors to adapt to the spatial user distribution efficiently. In particular, we focus on the uplink transmission in a single-cell system, where the flexible-sector BS receives independent messages from multiple users. We introduce an angular-domain user distribution model, which captures the users' spatial clustering or hot-spot distribution effectively. Assuming the zero-forcing (ZF) based receiver applied at the BS to decode multiuser signals, we derive the average sum rate achievable for the users as a function of the common rotation of sectors and the antenna allocation over them. Moreover, we develop a two-step algorithm to jointly optimize the common sector rotation and antenna allocation to maximize the average sum rate of all users. It is shown that the optimal antenna number in each sector linearly increases with the number of users in it. It is also revealed that under the most favorable user distribution, the achievable sum rate gain increases in the order of $\log_{2}(B)$ in the regime of asymptotically large number of antennas, where $B$ denotes the number of sectors. Numerically results also show that as $B$ increases, the proposed flexible-sector BS achieves higher sum rate, and it outperforms other benchmark schemes, such as the traditional fixed-sector BS as well as the BS with sector rotation or antenna allocation optimization only.

Flexible-Sector 6DMA Base Station: Modeling and Design

TL;DR

The paper introduces a flexible-sector BS architecture based on six-dimensional movable antennas (6DMA) that jointly rotates sectors and moves antennas along a circular track to adapt to spatial user distributions. It develops an angular-domain FHPPP model for user locations, analyzes uplink performance with a ZF receiver, and formulates a two-step optimization to maximize the average sum rate via joint sector rotation and antenna allocation. Key findings include a linear relationship between allocated antennas and sector user counts, a potential per-user rate gain under favorable distributions, and superior performance of the proposed design over benchmarks, especially for non-uniform, clustered user distributions. The results underscore the practicality and impact of dynamic spatial adaptation in sectorized 6DMA BSs for future wireless networks with heterogeneous user distributions and large antenna arrays.

Abstract

Six-dimensional movable antenna (6DMA) has emerged as a promising new technology for future wireless networks, which can adaptively adjust the three-dimensional (3D) positions and 3D rotations of antennas/antenna arrays for performance enhancement. This paper proposes a novel cost-effective 6DMA-based base station (BS) architecture, termed the \textit{flexible-sector} BS, which allows the deployed antennas to flexibly rotate and move along a circular track, thus enabling common sector rotation and flexible antenna allocation across sectors to adapt to the spatial user distribution efficiently. In particular, we focus on the uplink transmission in a single-cell system, where the flexible-sector BS receives independent messages from multiple users. We introduce an angular-domain user distribution model, which captures the users' spatial clustering or hot-spot distribution effectively. Assuming the zero-forcing (ZF) based receiver applied at the BS to decode multiuser signals, we derive the average sum rate achievable for the users as a function of the common rotation of sectors and the antenna allocation over them. Moreover, we develop a two-step algorithm to jointly optimize the common sector rotation and antenna allocation to maximize the average sum rate of all users. It is shown that the optimal antenna number in each sector linearly increases with the number of users in it. It is also revealed that under the most favorable user distribution, the achievable sum rate gain increases in the order of in the regime of asymptotically large number of antennas, where denotes the number of sectors. Numerically results also show that as increases, the proposed flexible-sector BS achieves higher sum rate, and it outperforms other benchmark schemes, such as the traditional fixed-sector BS as well as the BS with sector rotation or antenna allocation optimization only.

Paper Structure

This paper contains 19 sections, 3 theorems, 52 equations, 7 figures, 1 table, 1 algorithm.

Key Result

Lemma 1

The average achievable rate per user in sector $b$ satisfies the following inequalities: where and More specifically, ${r}_{b}^{(\rm u)}$ in eq:upperB_r_b can be expressed as a function of the common rotation index, $z_{0}$, and the number of antennas allocated to sector $b$, $N_{b}$, which is given by where $\gamma_{0}=\frac{P_{0}}{\delta^{2}}$; and ${r}_{b}^{(\rm l)}$ in eq:lowerB_r_b can be

Figures (7)

  • Figure 1: Illustration of the flexible-sector BS and angular zone-based user distribution.
  • Figure 2: Simulated user achievable rate versus the number of antennas in sector $b$.
  • Figure 3: Illustration of the solution given in \ref{['sol:antennaAllo']}.
  • Figure 4: User distribution-I.
  • Figure 5: User distribution-II.
  • ...and 2 more figures

Theorems & Definitions (4)

  • Lemma 1
  • Proposition 1
  • Theorem 1
  • Remark 1