Error Rate Analysis of GF(q) Network Coded Detect-and-Forward Wireless Relay Networks Using Equivalent Relay Channel Models

TL;DR

This paper presents an analysis method for error rates in GF(q) network coded relay networks using equivalent relay channel models, enabling simpler receiver design with near-optimal performance.

Contribution

It introduces an approximate error rate analysis technique for q-ary Galois Field network coded relay networks using equivalent relay channels, facilitating low complexity receiver development.

Findings

Error rate analysis closely matches simulations.

Equivalent relay channels enable low complexity near-optimal receivers.

Diversity order can be effectively estimated using the model.

Abstract

This paper investigates simple means of analyzing the error rate performance of a general q-ary Galois Field network coded detect-and-forward cooperative relay network with known relay error statistics at the destination. Equivalent relay channels are used in obtaining an approximate error rate of the relay network, from which the diversity order is found. Error rate analyses using equivalent relay channel models are shown to be closely matched with simulation results. Using the equivalent relay channels, low complexity receivers are developed whose performances are close to that of the optimal maximum likelihood receiver.