Design of Binary Network Codes for Multi-user Multi-way Relay Networks

TL;DR

This paper proposes binary network coding strategies for multi-user multi-way relay networks to enhance throughput and reduce error rates, providing analytical SEP expressions and design criteria for optimal matrix construction.

Contribution

It introduces design criteria for binary network coding matrices in multi-user relay networks and derives SEP expressions to optimize system performance.

Findings

Derived closed-form SEP expressions for the system

Proposed design criteria for BMNC matrices

Achieved minimized error probabilities through matrix design

Abstract

We study multi-user multi-way relay networks where $N$ user nodes exchange their information through a single relay node. We use network coding in the relay to increase the throughput. Due to the limitation of complexity, we only consider the binary multi-user network coding (BMNC) in the relay. We study BMNC matrix (in GF(2)) and propose several design criteria on the BMNC matrix to improve the symbol error probability (SEP) performance. Closed-form expressions of the SEP of the system are provided. Moreover, an upper bound of the SEP is also proposed to provide further insights on system performance. Then BMNC matrices are designed to minimize the error probabilities.