Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Transmissive RIS Transmitter Enabled Spatial Modulation for MIMO Systems

Xusheng Zhu, Qingqing Wu, Wen Chen

TL;DR

This work introduces a transmissive RIS transmitter-enabled spatial modulation (TRIS-SM) MIMO scheme where TRIS column indices carry information and a maximum likelihood detector at the receiver decodes the transmitted signal. The authors derive closed-form upper bounds on the average bit error probability using both vector-based and element-based approaches, along with asymptotic expressions and the associated diversity gain, and they present a union-bound ABEP expression. To boost reliability, they propose an improved TRIS-SM scheme that maximizes the minimum Euclidean distance under a fixed data-rate constraint, plus a simplified SI variant to reduce complexity. Monte Carlo simulations validate the theoretical results and show that TRIS-SM outperforms conventional SM, with the improved variant offering the best ABEP performance in high-SNR regimes. The work demonstrates the potential of TRIS-enabled SM for energy-efficient, low-cost multi-antenna transceivers in future wireless networks.

Abstract

In this paper, we propose a novel transmissive reconfigurable intelligent surface (TRIS) transmitter-enabled spatial modulation (SM) multiple-input multiple-output (MIMO) system. In the transmission phase, a column-wise activation strategy is implemented for the TRIS panel, where the specific column elements are activated per time slot. Concurrently, the receiver employs the maximum likelihood detection technique. Based on this, for the transmit signals, we derive the closed-form expressions for the upper bounds of the average bit error probability (ABEP) of the proposed scheme from different perspectives, employing both vector-based and element-based approaches. Furthermore, we provide the asymptotic closed-form expressions for the ABEP of the TRIS-SM scheme, as well as the diversity gain. To improve the performance of the proposed TRIS-SM system, we optimize ABEP with a fixed data rate. Additionally, we provide lower bounds to simplify the computational complexity of improved TRIS-SM scheme. The Monte Carlo simulation method is used to validate the theoretical derivations exhaustively. The results demonstrate that the proposed TRIS-SM scheme can achieve better ABEP performance compared to the conventional SM scheme. Furthermore, the improved TRIS-SM scheme outperforms the TRIS-SM scheme in terms of reliability.

Transmissive RIS Transmitter Enabled Spatial Modulation for MIMO Systems

TL;DR

This work introduces a transmissive RIS transmitter-enabled spatial modulation (TRIS-SM) MIMO scheme where TRIS column indices carry information and a maximum likelihood detector at the receiver decodes the transmitted signal. The authors derive closed-form upper bounds on the average bit error probability using both vector-based and element-based approaches, along with asymptotic expressions and the associated diversity gain, and they present a union-bound ABEP expression. To boost reliability, they propose an improved TRIS-SM scheme that maximizes the minimum Euclidean distance under a fixed data-rate constraint, plus a simplified SI variant to reduce complexity. Monte Carlo simulations validate the theoretical results and show that TRIS-SM outperforms conventional SM, with the improved variant offering the best ABEP performance in high-SNR regimes. The work demonstrates the potential of TRIS-enabled SM for energy-efficient, low-cost multi-antenna transceivers in future wireless networks.

Abstract

In this paper, we propose a novel transmissive reconfigurable intelligent surface (TRIS) transmitter-enabled spatial modulation (SM) multiple-input multiple-output (MIMO) system. In the transmission phase, a column-wise activation strategy is implemented for the TRIS panel, where the specific column elements are activated per time slot. Concurrently, the receiver employs the maximum likelihood detection technique. Based on this, for the transmit signals, we derive the closed-form expressions for the upper bounds of the average bit error probability (ABEP) of the proposed scheme from different perspectives, employing both vector-based and element-based approaches. Furthermore, we provide the asymptotic closed-form expressions for the ABEP of the TRIS-SM scheme, as well as the diversity gain. To improve the performance of the proposed TRIS-SM system, we optimize ABEP with a fixed data rate. Additionally, we provide lower bounds to simplify the computational complexity of improved TRIS-SM scheme. The Monte Carlo simulation method is used to validate the theoretical derivations exhaustively. The results demonstrate that the proposed TRIS-SM scheme can achieve better ABEP performance compared to the conventional SM scheme. Furthermore, the improved TRIS-SM scheme outperforms the TRIS-SM scheme in terms of reliability.
Paper Structure (18 sections, 2 theorems, 83 equations, 7 figures, 1 table)

This paper contains 18 sections, 2 theorems, 83 equations, 7 figures, 1 table.

Table of Contents

  1. Introduction
  2. System Model
  3. Performance Analysis
  4. VB Method to UPEP Derivation
  5. EB Method to UPEP Derivation
  6. Single Receive Antenna $(N_r=1)$
  7. Multiple Receive Antennas $(N_r>1)$
  8. Asymptotic UPEP expression
  9. Diversity Gain
  10. ABEP Expression
  11. Improved TRIS-SM Scheme
  12. Improved TRIS-SM Scheme
  13. Simplified Improved (SI) TRIS-SM Scheme
  14. Simulation and Analytical Results
  15. Validation of Theoretical Derivation Results
  16. ...and 3 more sections

Key Result

Lemma 1

The random vector $\mathbf{u}=^T$ follows the circularly symmetric complex Gaussian random distribution, and its covariance can be given by Proof: Let us make the matrices $\mathbf{X}=\mathbf{I}_{N_r}\otimes \mathbf{x}^T$ and $\hat{\mathbf{X}}=\mathbf{I}_{N_r}\otimes \hat{\mathbf{x}}^T$, where $\mathbf{X}\in\mathbb{C}^{N_r\times L}$ and $\hat{\mathbf{X}}\in\mathbb{C}^{N_r\times L}$. And then, we

Figures (7)

  • Figure 1: System model.
  • Figure 2: ABEP performance comparsion of the TRIS-SM with conventional SM scheme.
  • Figure 3: Comparative analysis based on VA and EB methods.
  • Figure 4: ABEP performance under the different $N$ values.
  • Figure 5: ABEP performance under the different $M$ values.
  • ...and 2 more figures

Theorems & Definitions (5)

  • Lemma 1
  • Lemma 2
  • Remark 1
  • Remark 2
  • Remark 3