Core Concepts
The performance of reconfigurable holographic surfaces (RHS) in near-field cell-free networks is limited by phase shift errors at the RHS elements and hardware impairments in the radio frequency chains of transceivers. Increasing the number of base stations can compensate for these impairments.
Abstract
The paper proposes a hybrid beamforming architecture for RHS-based cell-free networks. The holographic beamformer at each distributed base station is designed based on local channel state information to maximize the channel gain, while the digital beamformer at the central processing unit is designed using the minimum mean squared error criterion based on the overall channel state information.
The theoretical analysis and simulation results show that the phase shift errors at the RHS elements and the hardware impairments at the radio frequency chains of transceivers limit the spectral efficiency in the high signal-to-noise ratio region. However, increasing the number of base stations can compensate for these impairments.
The paper also derives the asymptotic capacity bound for an infinite physical size of the RHS in the near-field channel model, and demonstrates that the ergodic spectral efficiency based on the near-field channel model is higher than that based on the far-field channel model assumption.
Stats
The channel's power gain between user k and the nth RHS element at base station l is given by β(l,k)
n = A∥q(l,k)∥sin ψ(l,k) / 4π∥q(l,k) - pn∥^3.
The equivalent channel from user k to the radio frequency chain at base station l is given by h(k)
l = Σ√ς(l)
n β(l,k)
n exp(j(θ(l)
n + e(l)
θ
n - 2π/λ(∥r - pn∥ + ∥q(l,k) - pn∥))).
Quotes
"The theoretical analysis and simulation results show that the PSE at the RHS elements and the HWI at the RF chains of transceivers limit the spectral efficiency in the high signal-to-noise ratio region."
"Moreover, we show that the PSE at the RHS elements and the HWI at the RF chains of BSs can be compensated by increasing the number of BSs."