# Space–Time Physical-Layer Network Coding

@article{Lee2015SpaceTimePN,
title={Space–Time Physical-Layer Network Coding},
author={Namyoon Lee and Robert W. Heath},
journal={IEEE Journal on Selected Areas in Communications},
year={2015},
volume={33},
pages={323-336}
}
• Published 30 April 2014
• Computer Science
• IEEE Journal on Selected Areas in Communications
A space-time physical-layer network coding (ST-PNC) method is presented for information exchange among multiple users over fully connected multiway relay networks. The method involves two steps: 1) side-information learning and 2) space-time relay transmission. In the first step, different sets of users are scheduled to send signals over networks, and the remaining users and relays overhear the transmitted signals, thereby learning the interference patterns. In the second step, multiple relays…

## Figures from this paper

### Space-time physical-layer network coding: Harnessing interference in multi-way communication

• Computer Science
2014 IEEE Global Communications Conference
• 2014
A space-time physical-layer network coding method is proposed in fully-connected multi-way relay networks and it is shown that the sum of degrees of freedom of the network is improved compared to existing interference management methods.

### Design and Analysis of Hierarchical Physical Layer Network Coding

IEEE Transactions on Wireless Communications
• 2017
This paper proposes a new relaying technique, hierarchical physical layer network coding (H-PNC), aimed at increasing the spectrum and energy efficiency in multi-hop wireless networks by supporting

### Relay-Aided Space-Time Beamforming for Interference Networks With Partial Channel Knowledge

IEEE Transactions on Signal Processing
• 2016
It is shown that KM/K+M- multiplexing gain is achievable in a K-user multiple-input single-output (MISO) interference relay channel when the relay has M antennas with a certain type of limited channel knowledge, which bridges the theorypractice gap by implementing advanced interference management methods with less overhead for practical wireless systems.

### Joint Encoding and Grouping Multiple Node Pairs for Physical-Layer Network Coding With Low-Complexity Algorithm

IEEE Transactions on Vehicular Technology
• 2017
This study aims at encoding multiple packets through jointly processing multiple superposed signals sent by diverse node pairs through joint-encoding method design as a binary integer programming model and proposes a low-complexity solution based on the idea of filling a Latin rectangle.

### Multi-way relay networks: characterization, performance analysis and transmission scheme design

This thesis investigates the practical issues that critically influence the performance of a MWRN and proposes solutions that can outperform existing schemes and analyzes the impact of imperfect channel state information (CSI) and optimum power allocation on MWRNs.

### Distributed Space–Time Interference Alignment With Moderately Delayed CSIT

• Computer Science
IEEE Transactions on Wireless Communications
• 2015
A major implication of derived results is that distributed and moderately delayed CSIT is useful to strictly improve the sum-DoF over the case of no CSI at the transmitter in a certain class of interference networks.

### Guiding blind transmitters for K-user MISO interference relay channels with Imperfect channel knowledge

• Computer Science
2016 IEEE International Symposium on Information Theory (ISIT)
• 2016
Using the proposed method, it is shown that KM/K+M-1 degrees of freedom (DoF) are achievable in a K-user multiple-input-single-output interference relay channel when the relay has M antennas with a certain type of limited channel knowledge.

### A Novel Relay-Aided Successive Aligned Interference Cancellation for X Channels with Blind Transmitters

• Computer Science
2016 IEEE Global Communications Conference (GLOBECOM)
• 2016
With the proposed cooperative relay transmission technique, it is shown that both the optimal degrees of freedom gain of $\frac{2K}{K+1}$ and the diversity gain of two are achievable for constant channels when the numbers of relays' antennas are enough to satisfy the derived feasibility conditions.

### Advanced interference management technique: potentials and limitations

IEEE Wireless Communications
• 2016
This article provides a high-level overview of several different interference shaping and exploitation techniques for single-hop, multihop, and multi-way network architectures with graphical illustrations.

### Relay-Aided Successive Aligned Interference Cancellation for Wireless $X$ Networks With Full-Duplex Relays

• Computer Science
IEEE Transactions on Vehicular Technology
• 2017
It is demonstrated that the same sum-DoF and diversity gain are attainable, even in the presence of interrelay interference due to a full-duplex relaying operation if the memory at the relay nodes is exploited in the proposed manner.

## References

SHOWING 1-10 OF 41 REFERENCES

### Achievable Degrees of Freedom on MIMO Two-way Relay Interference Channels

• Computer Science
IEEE Transactions on Wireless Communications
• 2013
This paper characterize the achievable total degrees of freedom (DOF) when all user nodes and relays have M and N antennas, respectively, and proposes a new interference neutralization scheme, the IN, where two relays cooperatively design the beamforming vectors so that the interference signals are neutralized at each receiver.

### Degrees of Freedom of the MIMO Y Channel: Signal Space Alignment for Network Coding

IEEE Transactions on Information Theory
• 2010
For this MIMO Y channel, it is shown that the capacity is 3M log(SNR) + o(log( SNR)) if N ≥ ⌈3M/2⌉ by using two novel signaling techniques, which are signal space alignment for network coding, and network-coding-aware interference nulling beamforming.

### Multiuser two-way relaying: detection and interference management strategies

IEEE Transactions on Wireless Communications
• 2009
Simulation results are presented to demonstrate the performance of the proposed multiuser two-way JD-XOR-F relaying scheme in conjunction with the joint power control and receiver optimization algorithms.

### The multi-way relay channel

• Computer Science
2009 IEEE International Symposium on Information Theory
• 2009
The multi-user communication channel, in which multiple users exchange information with the help of a single relay terminal, called the multi-way relay channel, is considered and an upper bound for comparison is presented.

### Degrees of Freedom for a MIMO Gaussian $K$ -Way Relay Channel: Successive Network Code Encoding and Decoding

• Computer Science
IEEE Transactions on Information Theory
• 2014
Under the premise that all nodes have local channel state information at the receiver only and operate in half-duplex mode, it is shown that a total K/2 DoF is achievable when M=K-1, and the key to showing this result is a novel encoding and decoding scheme.

### Spectral efficient protocols for half-duplex fading relay channels

• Computer Science
IEEE Journal on Selected Areas in Communications
• 2007
Two new half-duplex relaying protocols are proposed that avoid the pre-log factor one-half in corresponding capacity expressions and it is shown that both protocols recover a significant portion of the half- duplex loss.

### The Capacity Region of Multiway Relay Channels Over Finite Fields With Full Data Exchange

• Computer Science
IEEE Transactions on Information Theory
• 2011
The capacity region of a class of multiway relay channels is derived, where the channel inputs and outputs take values over finite fields and the cut-set upper bound to the capacity region is derived and is shown to be achievable by the proposed functional-decode-forward coding strategy.

### Information Exchange in Wireless Networks with Network Coding and Physical-layer Broadcast

• Computer Science
• 2004
It is shown that mutual exchange of independent information between two nodes in a wireless network can be performed by exploiting network coding and the physical-layer broadcast property offered by the wireless medium.

### Achievable Degrees of Freedom on K-user Y Channels

• Computer Science
IEEE Transactions on Wireless Communications
• 2012
It is shown that the proposed scheme obtains not only a network coding gain but also an alignment gain in terms of the normalized DOF, as K → ∞ for Y channels where all nodes have a single antenna by using the rational dimension framework.

### Divide-and-Conquer: Approaching the Capacity of the Two-Pair Bidirectional Gaussian Relay Network

• Computer Science
IEEE Transactions on Information Theory
• 2012
The capacity region of the two-pair bidirectional Gaussian relay network is characterized and it is shown that for all channel gains it achieves to within 3 bits/sec/Hz per user of the cut-set upper-bound.