Analysis of Ergodic Rate for Transmit Antenna Selection in Low-Resolution ADC Systems

TL;DR

This paper analyzes the ergodic rate of transmit antenna selection in low-resolution ADC systems, deriving bounds and showing significant rate improvements with moderate antenna numbers.

Contribution

It introduces a novel analysis of ergodic rate bounds for TAS in low-resolution ADC systems, including closed-form expressions and comparison with coarse quantization.

Findings

TAS significantly improves ergodic rate in low-resolution ADC systems.

Derived closed-form ergodic rate bounds for TAS with Weibull distribution approximation.

Simulation results confirm the theoretical bounds and performance gains.

Abstract

In this paper, we analyze the ergodic rate of single transmit antenna selection (TAS) in low-resolution analog-to-digital converter (ADC) systems. Using low-resolution ADCs is a potential power-reduction solution for multiple antenna systems. Low-resolution ADC systems with TAS can further reduce cost and power consumption in wireless transceivers. Considering such systems, we derive the approximated lower bound of ergodic rate with TAS. Here, we exploit the approximated distribution of the sum of Weibull random variables to address the challenge involved in analyzing the quantization error. We, then, derive the approximated ergodic rate with TAS for a single receive antenna in closed form, which reveals the TAS gain in low-resolution ADC systems. The upper bound of a single transmit and single receive antenna system under coarse quantization is derived to compare with the ergodic rate of the TAS system. The analysis shows that the TAS method achieves a large improvement in ergodic rate with a moderate number of transmit antennas. Simulation results validate the derived ergodic rates and resulting intuition.