On Symbol Mapping for Binary Physical-Layer Network Coding with PSK Modulation

被引:45
作者
Noori, Moslem [1 ]
Ardakani, Masoud [1 ]
机构
[1] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2M7, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Physical-layer network coding; PSK modulation; symbol mapping; minimum Euclidean distance; CHANNEL; BIT;
D O I
10.1109/TWC.2011.110811.110347
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In a system employing physical-layer network coding, the superimposed constellation at the relay may have ambiguity where one received signal is associated with more than one possible combination of users' data. We find the necessary and sufficient condition on a user bit mapping which removes this ambiguity for phase shift keying modulation. Further, we introduce the concept of semi-Gray mapping which improves the system BER performance and achievable rate. The necessary and sufficient condition of having a semi-Gray mapping is also found. Interestingly, the widely used binary reflected Gray mapping does not satisfy the semi-Gray mapping condition resulting in a poorer performance compared to our proposed semi-Gray scheme.
引用
收藏
页码:21 / 26
页数:6
相关论文
共 12 条
[1]   On the optimality of the binary reflected gray code [J].
Agrell, E ;
Lassing, J ;
Ström, EG ;
Ottosson, T .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (12) :3170-3182
[2]   Gray coding for multilevel constellations in Gaussian noise [J].
Agrell, Erik ;
Lassing, Johan ;
Strom, Erik G. ;
Ottosson, Tony .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2007, 53 (01) :224-235
[3]  
Barry Lee, 2003, DIGITAL COMMUNICATIO
[4]   Bit-interleaved coded modulation [J].
Caire, G ;
Taricco, G ;
Biglieri, E .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (03) :927-946
[5]   Memoryless Relay Strategies for Two-Way Relay Channels [J].
Cui, Tao ;
Ho, Tracey ;
Kliewer, Joerg .
IEEE TRANSACTIONS ON COMMUNICATIONS, 2009, 57 (10) :3132-3143
[6]   Capacity of the Gaussian Two-Way Relay Channel to Within 1/2 Bit [J].
Nam, Wooseok ;
Chung, Sae-Young ;
Lee, Yong H. .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2010, 56 (11) :5488-5494
[7]  
Popovski P., P ICC 2007, P707
[8]   CHANNEL CODING WITH MULTILEVEL PHASE SIGNALS [J].
UNGERBOECK, G .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1982, 28 (01) :55-67
[9]  
Wu Y., 2004, INFORM EXCHANGE WIRE
[10]   Minimum-energy multicast in mobile ad hoc networks using network coding [J].
Wu, YN ;
Chou, PA ;
Kung, SY .
IEEE TRANSACTIONS ON COMMUNICATIONS, 2005, 53 (11) :1906-1918