Ergodic Rate Analysis of Simultaneous Transmitting and Reflecting Reconfigurable Intelligent Surface-Assisted Rate-Splitting Multiple Access Systems Based on Discrete Phase Shifts
Abstract
:1. Introduction
- (1)
- We primarily consider a multi-user downlink RSMA communication system assisted by STAR-RIS. Firstly, we cluster the multiple users and ignore the interference between different user clusters. Secondly, considering that users are uniformly distributed within the range centered on the STAR-RIS, we quantify the phase shifts of the STAR-RIS. With this result, we further derive the theoretical values of the system ergodic rate under both the discrete and continuous phase shifts of the STAR-RIS for the performance evaluation.
- (2)
- Through Monte Carlo simulations, we verify the correctness of the theoretical derivations and demonstrate that the system’s ergodic rate with the discrete phase shifts of the STAR-RIS is inferior to that with the continuous phase shifts. However, increasing the number of quantization bits can make the performance of the discrete phase shifts approach that of the continuous phase shifts. Additionally, we show the impact of the number of STAR-RIS elements, the path loss exponent, and the different modes of STAR-RIS on the system performance.
2. System Model
2.1. Channel Model
2.2. STAR-RIS-Assisted RSMA Downlink Communication Model
3. Ergodic Rate Analysis
3.1. Ergodic Rate under Discrete Phase Shifts
3.2. Ergodic Rate under Continuous Phase Shifts
4. Simulation and Analysis
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Abbreviations
Parameters | Explanations |
complex Gaussian distribution with mean a and variance b | |
absolute value or modulus of a complex number or number of elements of a set | |
diagonal matrix with diagonal elements as vectors | |
average value of a variable | |
sampling function | |
lower incomplete gamma function | |
gamma function | |
Markum Q Function | |
error complementarity function |
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Parameters | Default Value | Parameters | Default Value |
---|---|---|---|
number of STAR-RIS elements | noise power | dBm | |
path loss exponent | path loss at a reference unit distance | dB | |
number of quantization bits | amplitude coefficient of STAR-RIS |
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Liu, T.; Zhou, Y. Ergodic Rate Analysis of Simultaneous Transmitting and Reflecting Reconfigurable Intelligent Surface-Assisted Rate-Splitting Multiple Access Systems Based on Discrete Phase Shifts. Sensors 2024, 24, 5480. https://doi.org/10.3390/s24175480
Liu T, Zhou Y. Ergodic Rate Analysis of Simultaneous Transmitting and Reflecting Reconfigurable Intelligent Surface-Assisted Rate-Splitting Multiple Access Systems Based on Discrete Phase Shifts. Sensors. 2024; 24(17):5480. https://doi.org/10.3390/s24175480
Chicago/Turabian StyleLiu, Tao, and Yue Zhou. 2024. "Ergodic Rate Analysis of Simultaneous Transmitting and Reflecting Reconfigurable Intelligent Surface-Assisted Rate-Splitting Multiple Access Systems Based on Discrete Phase Shifts" Sensors 24, no. 17: 5480. https://doi.org/10.3390/s24175480