Common Randomness Generation over Slow Fading Channels

TL;DR

This paper characterizes the capacity for generating common randomness over slow fading wireless channels, providing a foundation for ultra-reliable low latency communication schemes.

Contribution

It fully solves the SISO slow fading case by establishing the outage CR capacity, linking channel outage capacity to common randomness generation.

Findings

Established the outage CR capacity for SISO slow fading channels

Demonstrated the application of CR in improving identification schemes

Linked channel outage capacity to common randomness generation

Abstract

This paper analyzes the problem of common randomness (CR) generation from correlated discrete sources aided by unidirectional communication over Single-Input Single-Output (SISO) slow fading channels with additive white Gaussian noise (AWGN) and arbitrary state distribution. Slow fading channels are practically relevant for wireless communications. We completely solve the SISO slow fading case by establishing its corresponding outage CR capacity using our characterization of its channel outage capacity. The generated CR could be exploited to improve the performance gain in the identification scheme. The latter is known to be more efficient than the classical transmission scheme in many new applications, which demand ultra-reliable low latency communication.