An Optimal Coding Strategy for the Binary Multi-Way Relay Channel

Abstract

We derive the capacity of the binary multi-way relay channel, in which multiple users exchange messages at a common rate through a relay. The capacity is achieved using a novel functional-decode-forward coding strategy. In the functional-decode-forward coding strategy, the relay decodes functions of the users' messages without needing to decode individual messages. The functions to be decoded by the relay are defined such that when the relay broadcasts the functions back to the users, every user is able to decode the messages of all other users.

References in corpus (2)

• Physical Layer Network Coding
• A New Achievable Rate for the Gaussian Parallel Relay Channel

Cited by in corpus (12)

• The Capacity Region of Multiway Relay Channels Over Finite Fields with Full Data Exchange
• Capacity Theorems for the AWGN Multi-Way Relay Channel
• Degrees of Freedom for MIMO Two-Way X Relay Channel
• On the Equal-Rate Capacity of the AWGN Multiway Relay Channel
• Error Performance Analysis of DF and AF Multi-way Relay Networks with BPSK Modulation
• Partial Zero-Forcing for Multi-Way Relay Networks
• Functional-Decode-Forward for the General Discrete Memoryless Two-Way Relay Channel
• The Finite Field Multi-Way Relay Channel with Correlated Sources: The Three-User Case
• Low-Latency Data Sharing in Erasure Multi-Way Relay Channels
• The Capacity of a Class of Multi-Way Relay Channels
• Rateless Codes for the Multi-Way Relay Channel
• A Novel User Pairing Scheme for Functional Decode-and-Forward Multi-way Relay Network