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Rotatable IRS-Assisted 6DMA Communications: A Two-timescale Design

Chao Zhou, Changsheng You, Cong Zhou, Liujia Yao, Weijie Yuan, Beixiong Zheng, Nan Wu

TL;DR

This work tackles the challenge of meeting next-generation wireless performance by combining a rotatable intelligent reflecting surface (R-IRS) with a six-dimensional movable antenna (6DMA) at the base station. A two-timescale design reduces channel estimation and computation: long-term configuration of the 6DMA and R-IRS using statistical CSI, and short-term beamforming based on instantaneous CSI. The authors develop a differential-evolution–based Extended SSCA framework for the multi-user case, plus a low-complexity alternative, and demonstrate through numerical results that joint 6DMA-R-IRS operation yields significant sum-rate gains, especially in multi-path environments. These findings offer practical guidance for exploiting both active and passive reconfigurable elements to enhance coverage, interference management, and spectral efficiency in future networks.

Abstract

Intelligent reflecting surface (IRS) and movable antenna (MA) are promising technologies to enhance wireless communication by reconfiguring channels at the environment and transceiver sides. However, their performance is constrained by practical limitations. To address this, we propose a multi-functional antenna/surface system that leverages their complementary advantages. A rotatable IRS (R-IRS) is deployed to enhance downlink communications from a six-dimensional MA (6DMA)-equipped base station (BS) to multiple single-antenna users. To reduce the complexity of real-time channel estimation and beamforming, we formulate an optimization problem to maximize the average sum-rate using a two-timescale (TTS) transmission protocol. Specifically, the BS antenna configuration (including position and rotation) and IRS rotation and reflection are optimized based on statistical channel state information (S-CSI), while BS transmit beamforming is designed using instantaneous CSI (I-CSI) in the short timescale. We first consider a single-user case and show that the 6DMA at the BS should form a sparse array for multi-beam transmission towards both the IRS and the user, allowing efficient coordination of direct and reflected channels, while the IRS rotation achieves effective multi-path alignment. For the general multi-user case, the optimization problem is non-convex and challenging to solve. To tackle this, we propose an efficient algorithm combining weighted minimum mean-square error (WMMSE) and stochastic successive convex approximation (SSCA) techniques. A low-complexity algorithm is also proposed to reduce computational complexity. Numerical results validate the proposed system, showing significant performance gains by jointly exploiting the spatial degrees of freedom of the 6DMA-BS and R-IRS under the TTS protocol.

Rotatable IRS-Assisted 6DMA Communications: A Two-timescale Design

TL;DR

This work tackles the challenge of meeting next-generation wireless performance by combining a rotatable intelligent reflecting surface (R-IRS) with a six-dimensional movable antenna (6DMA) at the base station. A two-timescale design reduces channel estimation and computation: long-term configuration of the 6DMA and R-IRS using statistical CSI, and short-term beamforming based on instantaneous CSI. The authors develop a differential-evolution–based Extended SSCA framework for the multi-user case, plus a low-complexity alternative, and demonstrate through numerical results that joint 6DMA-R-IRS operation yields significant sum-rate gains, especially in multi-path environments. These findings offer practical guidance for exploiting both active and passive reconfigurable elements to enhance coverage, interference management, and spectral efficiency in future networks.

Abstract

Intelligent reflecting surface (IRS) and movable antenna (MA) are promising technologies to enhance wireless communication by reconfiguring channels at the environment and transceiver sides. However, their performance is constrained by practical limitations. To address this, we propose a multi-functional antenna/surface system that leverages their complementary advantages. A rotatable IRS (R-IRS) is deployed to enhance downlink communications from a six-dimensional MA (6DMA)-equipped base station (BS) to multiple single-antenna users. To reduce the complexity of real-time channel estimation and beamforming, we formulate an optimization problem to maximize the average sum-rate using a two-timescale (TTS) transmission protocol. Specifically, the BS antenna configuration (including position and rotation) and IRS rotation and reflection are optimized based on statistical channel state information (S-CSI), while BS transmit beamforming is designed using instantaneous CSI (I-CSI) in the short timescale. We first consider a single-user case and show that the 6DMA at the BS should form a sparse array for multi-beam transmission towards both the IRS and the user, allowing efficient coordination of direct and reflected channels, while the IRS rotation achieves effective multi-path alignment. For the general multi-user case, the optimization problem is non-convex and challenging to solve. To tackle this, we propose an efficient algorithm combining weighted minimum mean-square error (WMMSE) and stochastic successive convex approximation (SSCA) techniques. A low-complexity algorithm is also proposed to reduce computational complexity. Numerical results validate the proposed system, showing significant performance gains by jointly exploiting the spatial degrees of freedom of the 6DMA-BS and R-IRS under the TTS protocol.

Paper Structure

This paper contains 34 sections, 5 theorems, 56 equations, 8 figures.

Key Result

Lemma 1

Based on S-CSI, the objective function of Problem (P3) can be equivalently rewritten as

Figures (8)

  • Figure 1: The considered multi-functional antenna/surface-assisted multi-user communication systems.
  • Figure 2: Transmission frame structure of the considered TTS transmission protocol.
  • Figure 3: $\left|\hat{a}_{1,0}(\mathbf{q},\psi)\right|$ versus DE iteration number.
  • Figure 4: Average sum-rate versus number of NLoS paths.
  • Figure 5: Average sum-rate versus movement region.
  • ...and 3 more figures

Theorems & Definitions (8)

  • Lemma 1: Expected equivalent channel power gain
  • proof
  • Lemma 2
  • proof
  • Lemma 3: Optimal positions of MAs
  • proof
  • Proposition 1: Proposed solution to Problem (P3.1)
  • Lemma 4