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Channel Coding and Decoding in a Relay System Operated with Physical layer Network Coding (0807.4770v2)

Published 30 Jul 2008 in cs.NI, cs.IT, and math.IT

Abstract: Physical-layer Network Coding (PNC) can significantly improve the throughput of wireless two way relay channel (TWRC) by allowing the two end nodes to transmit messages to the relay simultaneously. To achieve reliable communication, channel coding could be applied on top of PNC. This paper investigates link-by-link channel-coded PNC, in which a critical process at the relay is to transform the superimposed channel-coded packets received from the two end nodes plus noise, Y3=X1+X2+W3, to the network-coded combination of the source packets, S1 XOR S2 . This is in distinct to the traditional multiple-access problem, in which the goal is to obtain S1 and S2 separately. The transformation from Y3 to (S1 XOR S2) is referred to as the Channel-decoding-Network-Coding process (CNC) in that it involves both channel decoding and network coding operations. A contribution of this paper is the insight that in designing CNC, we should first (i) channel-decode Y3 to the superimposed source symbols S1+S2 before (ii) transforming S1+S2 to the network-coded packets (S1 XOR S2) . Compared with previously proposed strategies for CNC, this strategy reduces the channel-coding network-coding mismatch. It is not obvious, however, that an efficient decoder for step (i) exists. A second contribution of this paper is to provide an explicit construction of such a decoder based on the use of the Repeat Accumulate (RA) code. Specifically, we redesign the belief propagation algorithm of the RA code for traditional point-to-point channel to suit the need of the PNC multiple-access channel. Simulation results show that our new scheme outperforms the previously proposed schemes significantly in terms of BER without added complexity.

Citations (323)

Summary

  • The paper introduces a novel channel-decoding-network-coding (CNC) process that transforms superimposed packets at the relay using RA codes.
  • It demonstrates significant BER improvements through belief propagation decoding in two-way relay channels under low SNR conditions.
  • The study offers a unified framework that efficiently combines channel and network coding, reducing processing time in multi-access communication scenarios.

Analysis of Channel Coding and Decoding in Relay Systems with Physical-layer Network Coding

The paper authored by Shengli Zhang and Soung Chang Liew explores the domain of Physical-layer Network Coding (PNC) in two-way relay channels (TWRC), with a focus on enhancing the channel coding process at the relay node. This work builds upon previous developments in network coding by integrating channel coding and network coding into a unified strategy using Repeat Accumulate (RA) codes, leading to a novel Channel-decoding-Network-Coding (CNC) process.

Overview

One of the core contributions of the paper is the introduction of a link-by-link channel-coded PNC. The primary aim is to transform superimposed channel-coded packets (from the two end-nodes) into a network-coded combination at the relay node, rather than explicitly decoding individual packets. This transformation is identified as the CNC process, which is critical for optimizing the efficiency and simplicity of the relay's operations in multi-access scenarios.

The research forwards the claim that adopting RA codes at the end nodes allows for designing an efficient decoder at the relay, which can effectively implement the Y3 → S1 ⊕ S2 transformation. This approach aligns with the belief propagation decoding methods, providing noticeable improvements in the Bit Error Rate (BER) compared to prior strategies without increasing the system's complexity.

Numerical Results and Claims

The authors present simulation results confirming significant performance gains in BER for their proposed scheme over traditional methods. The novel ACNC (Arithmetic-sum CNC) outperforms alternative schemes, particularly in low Signal-to-Noise Ratio (SNR) environments, demonstrating a more efficient handling of superimposed packets and minimizing unnecessary processing of extraneous information not relevant to the final network-coded packet.

Implications and Future Directions

The proposed scheme has practical implications for enhancing communication efficiency in wireless relay systems, reducing time slots necessary for complete data exchange between nodes. Beyond immediate applications, the paper's approach to integrating channel and network coding could set precedent strategies for other multi-access communication systems, potentially paving the way for further innovations in handling noisy and asynchronous channel conditions.

Theoretical implications include the prospect that this combined channel-network coding structure might approach the capacity limits of TWRCs in various SNR regions more closely than traditional methods. Consequently, this venture into joint design can stimulate future work that explores the capacity of TWRCs by refining channel coding techniques to align seamlessly with physical-layer network operations.

Overall, this work serves as a pertinent example of how collaborative encoding schemas can be engineered to improve communication reliability and throughput, highlighting a promising direction in network coding research. It invites further investigations into effective algorithm design for real-world application and adaptation to other coding frameworks beyond RA codes, including LDPC and Turbo codes, to further generalize and enhance these benefits in broader contexts.