Capacity Theorems for the AWGN Multi-Way Relay Channel
arXiv:1004.2300 · doi:10.1109/ISIT.2010.5513576
Abstract
The L-user additive white Gaussian noise multi-way relay channel is considered, where multiple users exchange information through a single relay at a common rate. Existing coding strategies, i.e., complete-decode-forward and compress-forward are shown to be bounded away from the cut-set upper bound at high signal-to-noise ratios (SNR). It is known that the gap between the compress-forward rate and the capacity upper bound is a constant at high SNR, and that between the complete-decode-forward rate and the upper bound increases with SNR at high SNR. In this paper, a functional-decode-forward coding strategy is proposed. It is shown that for L >= 3, complete-decode-forward achieves the capacity when SNR <= 0 dB, and functional-decode-forward achieves the capacity when SNR >= 0 dB. For L=$, functional-decode-forward achieves the capacity asymptotically as SNR increases.
accepted and to be presented at ISIT 2010
References in corpus (2)
Cited by in corpus (15)
- The Capacity Region of Multiway Relay Channels Over Finite Fields with Full Data Exchange
- Reliable Physical Layer Network Coding
- Resource Allocation for Energy-Efficient 3-Way Relay Channels
- Three-Way Channels with Multiple Unicast Sessions: Capacity Approximation via Network Transformation
- On the Sum Capacity of the Y-Channel
- Signal Space Alignment for the Gaussian Y-Channel
- The Degrees of Freedom of the MIMO Y-channel
- The Approximate Capacity Region of the Gaussian Y-Channel
- Spectral and Energy Efficiency in 3-Way Relay Channels with Circular Message Exchanges
- Low-Latency Data Sharing in Erasure Multi-Way Relay Channels
- Cooperative Compute-and-Forward
- The Capacity of a Class of Multi-Way Relay Channels
- The Capacity Region of Restricted Multi-Way Relay Channels with Deterministic Uplinks
- Rateless Codes for the Multi-Way Relay Channel
- Lattice Coding and the Generalized Degrees of Freedom of the Interference Channel with Relay