Linear Vector Physical-Layer Network Coding for MIMO Two-Way Relay Channels: Design and Performance Analysis

In this paper, we propose a new linear vector physical-layer network coding (NC) scheme for spatial multiplexing multiple-input multiple-output (MIMO) two-way relay channel (TWRC) where the channel state information (CSI) is not available at the transmitters. In this scheme, each user transmits M in...

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Bibliographic Details
Published in:IEEE transactions on communications Vol. 63; no. 7; pp. 2591 - 2604
Main Authors: Jiajia Guo, Tao Yang, Jinhong Yuan, Zhang, Jian A.
Format: Journal Article
Language:English
Published: New York IEEE 01.07.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Antennas
Channels
Codes
Coding
distance spectrum
Error probability
Generators
Mathematical analysis
Mathematical models
MIMO
Network coding
Networks
physical-layer network coding
Probability
Relay
Relays
Silicon
TWRC
Vectors
Vectors (mathematics)
Network coding
physical-layer network coding
MIMO
distance spectrum
TWRC
ISSN:0090-6778, 1558-0857
Online Access:Get full text
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Summary:In this paper, we propose a new linear vector physical-layer network coding (NC) scheme for spatial multiplexing multiple-input multiple-output (MIMO) two-way relay channel (TWRC) where the channel state information (CSI) is not available at the transmitters. In this scheme, each user transmits M independent quadrature amplitude modulation signal streams respectively from its M antennas to the relay. Based on the receiver-side CSI, the relay determines a NC generator matrix for linear vector network coding, and reconstructs the associated M linear combinations of all messages. We present an explicit solution for the generator matrix that minimizes the error probability at a high SNR, as well as an efficient algorithm to find the optimized solution. We propose a novel typical error event analysis that exploits a new characterization of the deep fade events for the TWRC. We derive a new closed-form expression for the average error probability of the proposed scheme over a Rayleigh fading MIMO TWRC. Our analysis shows that the proposed scheme achieves the optimal error rate performance at a high SNR. Numerical results show that the proposed scheme significantly outperforms existing schemes, and match well with our analytical results.
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ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2015.2413395