# Per-link Reliability and Rate Control: Two Facets of the SIR Meta Distribution

## TL;DR

This paper explores the dual role of the SIR meta distribution in wireless networks, providing insights into both link reliability and rate control, and introduces methods for approximate calculations with limited information.

## Contribution

It reveals the second application of the SIR meta distribution in rate control and establishes a connection to per-link reliability, enabling approximate calculations with partial data.

## Key findings

- Derived the distribution of SIR thresholds for guaranteed reliability.
- Connected SIR meta distribution to rate control strategies.
- Proposed methods for approximate calculations with local information.

## Abstract

The meta distribution (MD) of the signal-to-interference ratio (SIR) provides fine-grained reliability performance in wireless networks modeled by point processes. In particular, for an ergodic point process, the SIR MD yields the distribution of the per-link reliability for a target SIR. Here we reveal that the SIR MD has a second important application, which is rate control. Specifically, we calculate the distribution of the SIR threshold (equivalently, the distribution of the transmission rate) that guarantees each link a target reliability and show its connection to the distribution of the per-link reliability. This connection also permits an approximate calculation of the SIR MD when only partial (local) information about the underlying point process is available.