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

TL;DR

This paper investigates simple means of analyzing the error rate performance of a general Galois Field network coded detect-and-forward cooperative relay network with known relay error statistics at the destination.

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.

Figures (10)

• Figure 1: $N$-user relay network
• Figure 2: Equivalent relay channel of a relay channel with $N$ sources
• Figure 3: Equivalent relay channel of a single-sourced relay channel
• Figure 4: Histogram of the Q-inverse equivalent channel's instantaneous SNR value in a Nakagami-m fading environment (m=2)
• Figure 5: 2 and 3-user GF(2) NC DetF Nakagami-m (m=1) fading relay networks' hard-receiver performances