# Delivery Time Minimization in Cache-Assisted Broadcast-Relay Wireless Networks with Imperfect CSI

## TL;DR

This paper analyzes how cache resources at network edges can reduce delivery latency in wireless networks with imperfect channel knowledge, providing bounds and regimes of optimality for worst-case delivery time.

## Contribution

It derives bounds on normalized delivery time in cache-assisted wireless networks with finite precision CSI, identifying regimes of NDT optimality.

## Key findings

- Bounds on normalized delivery time are established.
- Certain regimes achieve NDT optimality.
- Impact of cache size and channel quality on latency is characterized.

## Abstract

An emerging trend of next generation communication systems is to provide network edges with additional capabilities such as storage resources in the form of caches to reduce file delivery latency. To investigate the impact of this technique on latency, we study the delivery time of a cache-aided broadcast-relay wireless network consisting of one central base station, $M$ cache-equipped transceivers and $K$ receivers under finite precision channel state information (CSI). We use the normalized delivery time (NDT) to capture the worst-case per-bit latency in a file delivery. Lower and upper bounds on the NDT are derived to understand the influence of $K,M$, cache capacity and channel quality on the NDT. In particular, regimes of NDT-optimality are identified and discussed.