Energy Efficiency Analysis of Active RIS-enhanced Wireless Network under Power-Sum Constraint

Fuente: arXiv
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Main Authors: Xin, Jingdie, Wang, Yan, Shu, Feng, Zhao, Feng, Zhao, Yifan, Jiang, Hao
Format: Preprint
Published: 2025
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_version_ 1866912411473149952
author Xin, Jingdie
Wang, Yan
Shu, Feng
Zhao, Feng
Zhao, Yifan
Jiang, Hao
author_facet Xin, Jingdie
Wang, Yan
Shu, Feng
Zhao, Feng
Zhao, Yifan
Jiang, Hao
contents Recently, as a green wireless technology, active reconfigurable intelligent surface (RIS) attracts numerous research activities due to its amplifying ability to combat the double-fading effect compared to passive one. How about its energy efficiency (EE) over passive one? Below, the EE of active RIS-aided wireless network in Rayleigh fading channels is analyzed. Using the law of large numbers, EE is derived as a function of five factors: power allocation factor, the number (N) of RIS elements, the total power, the noise variances at RIS and at user. To evaluate each factor's impact, the simple EE function for the concerning factor is given with others fixed. To assess the impact of N on EE, we establish an equation with the EE of active RIS equaling that of passive one, and three methods, bisection, Newton's method, and simulated annealing, are designed to find the roots of this equation. Simulation results show that as N tends to medium-scale or large-scale, the asymptotic performance formula is consistent with the exact EE expression well. As N varies from small-scale to large-scale, the active RIS intersects passive one at some point. When N< N_0, active RIS performs better than passive one in terms of EE. Otherwise, there is a converse conclusion.
format Preprint
id arxiv_https___arxiv_org_abs_2506_02823
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Energy Efficiency Analysis of Active RIS-enhanced Wireless Network under Power-Sum Constraint
Xin, Jingdie
Wang, Yan
Shu, Feng
Zhao, Feng
Zhao, Yifan
Jiang, Hao
Performance
Recently, as a green wireless technology, active reconfigurable intelligent surface (RIS) attracts numerous research activities due to its amplifying ability to combat the double-fading effect compared to passive one. How about its energy efficiency (EE) over passive one? Below, the EE of active RIS-aided wireless network in Rayleigh fading channels is analyzed. Using the law of large numbers, EE is derived as a function of five factors: power allocation factor, the number (N) of RIS elements, the total power, the noise variances at RIS and at user. To evaluate each factor's impact, the simple EE function for the concerning factor is given with others fixed. To assess the impact of N on EE, we establish an equation with the EE of active RIS equaling that of passive one, and three methods, bisection, Newton's method, and simulated annealing, are designed to find the roots of this equation. Simulation results show that as N tends to medium-scale or large-scale, the asymptotic performance formula is consistent with the exact EE expression well. As N varies from small-scale to large-scale, the active RIS intersects passive one at some point. When N< N_0, active RIS performs better than passive one in terms of EE. Otherwise, there is a converse conclusion.
title Energy Efficiency Analysis of Active RIS-enhanced Wireless Network under Power-Sum Constraint
topic Performance
url https://arxiv.org/abs/2506.02823