Optimal Feedback Rate Analysis in Downlink Multi-User Multi-Antenna Systems with One-Bit ADC Receivers over Randomly Modeled Dense Cellular Networks

Moonsik Min, Sungmin Lee and Tae-Kyoung Kim ()
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Moonsik Min: School of Electronic and Electrical Engineering, Kyungpook National University, Daegu 41566, Republic of Korea
Sungmin Lee: School of Electronic and Electrical Engineering, Kyungpook National University, Daegu 41566, Republic of Korea
Tae-Kyoung Kim: Department of Electronic Engineering, Gachon University, Seongnam 13120, Republic of Korea

Mathematics, 2025, vol. 13, issue 20, 1-15

Abstract: Stochastic geometry provides a powerful analytical framework for evaluating interference-limited cellular networks with randomly deployed base stations (BSs). While prior studies have examined limited channel state information at the transmitter (CSIT) and low-resolution analog-to-digital converters (ADCs) separately, their joint impact in multi-user multiple-input multiple-output (MIMO) systems remains largely unexplored. This paper investigates a downlink cellular network in which BSs are distributed according to a homogeneous Poisson point process (PPP), employing zero-forcing beamforming (ZFBF) with limited feedback, and receivers are equipped with one-bit ADCs. We derive a tractable approximation for the achievable spectral efficiency that explicitly accounts for both the quantization error from limited feedback and the receiver distortion caused by coarse ADCs. Based on this approximation, we determine the optimal feedback rate that maximizes the net spectral efficiency. Our analysis reveals that the optimal number of feedback bits scales logarithmically with the channel coherence time but its absolute value decreases due to coarse quantization. Simulation results validate the accuracy of the proposed approximation and confirm the predicted scaling behavior, demonstrating its effectiveness for interference-limited multi-user MIMO networks.

Keywords: muti-user multi-antenna systems; limited feedback; one-bit ADCs; stochastic geometric; beamforming (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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