Core Concepts
The core message of this article is to determine the optimal allocation of elements between an active intelligent reflecting surface (AIRS) and a passive intelligent reflecting surface (PIRS) in a joint AIRS-PIRS aided wireless communication system to maximize the achievable rate at the receiver.
Abstract
The article considers a wireless communication system where a single-antenna transmitter communicates with a single-antenna receiver, aided by a pair of AIRS and PIRS. The authors aim to determine the optimal number of elements for the AIRS and PIRS, as well as the reflection amplitude factors, to maximize the achievable rate at the receiver.
The authors analyze two transmission schemes: Tx → AIRS → PIRS → Rx (TAPR) and Tx → PIRS → AIRS → Rx (TPAR). For the TAPR scheme, the authors formulate an optimization problem to jointly optimize the number of AIRS and PIRS elements and the reflection amplitude factor of the AIRS. For the TPAR scheme, a similar optimization problem is formulated.
The authors provide suboptimal solutions in closed-form for both schemes, which reveal that the PIRS should be allocated more elements than the AIRS in both schemes to achieve the optimized rate. Additionally, the authors show that the TAPR scheme outperforms the TPAR scheme in terms of achievable rate when the distance between the second IRS and the receiver is sufficiently small or the AIRS amplification power is adequately large.
The authors also analyze the signal-to-noise ratio (SNR) scaling orders for both schemes, demonstrating that the considered double-IRS aided systems can achieve linear SNR scaling orders, which is higher than the single-active-IRS case.
Simulation results are provided to evaluate the proposed algorithms and compare the rate performance of the AIRS and PIRS jointly aided wireless system with various benchmark systems, validating the analysis.
Stats
Pt = 20dBm
Pv = 10dBm
σ^2_0 = σ^2_v = -80dBm
Wact = 1.2
Wpas = 1