# On Coverage Probability With Type-II HARQ in Large Uplink Cellular Networks

## TL;DR

This paper analyzes the coverage probability of uplink transmissions in large cellular networks using Type-II HARQ with MRC, revealing how different interference scenarios affect diversity gain and the benefits of power control.

## Contribution

It provides analytical expressions for coverage probability under generalized power control in large networks with different interference dynamics, highlighting the impact on diversity gain.

## Key findings

- Diversity gain of MRC is higher with quasi-static interference.
- Full channel-inversion power control maximizes diversity gain.
- Coverage probability scales with interference and power control strategies.

## Abstract

This letter studies uplink transmission in large-scale cellular networks with a Type-II hybrid automatic repeat request (HARQ) retransmission scheme, under which an unsuccessful transmission (if occurs) is combined with the corresponding retransmission through maximum-ratio combining (MRC) for decoding. Based on stochastic geometry analysis, the uplink coverage probabilities are characterized under a generalized power control scheme in the scenarios with quasi-static interference (QSI) and fast-varying interference (FVI), where the same or different interfering users are present during the transmission and retransmission phase, respectively. Our analytical expressions reveal some scaling properties of the coverage probabilities and can be used to evaluate the diversity gain of MRC (i.e., the ratio of the required signal-to-interference ratio (SIR) to achieve a target coverage probability with MRC to that without MRC). We show that the diversity gain of MRC is more remarkable in the scenario with QSI compared to that with FVI. Moreover, the diversity gain of MRC can be mostly exploited by adopting full channel-inversion power control.