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In wireless communication field, the omnidirectional radiation of electromagnetic wave in free space is always considered as a big shortcoming, nevertheless, it can be used to improve the performace of wireless communication system in network entironment. Here, we consider that M nodes use a switch node to exchang their information in a wireless network. Differert from the conventional method, the switch node will take the joint coding method for the M independent information, then transmit the same codeword to all M nodes simultaneously through the omnidirectional radiation. For the novel network code, the mathematical definition of the M -dimension space-time error correction code is proposed, and some theorems about its performance are proved to lay a foundation to construct good codebooks. The redundancy of time and space domain is added to the novel codebook at the same time, and the efficiency of the transmit power is improved, so we can design high-rate codebook with good error detection and correction capability. Moreover, the complexity of its decoding algorithm can be reduced, owing to the distributed data processing. Here, we emphasize that contrary to one’s intuition, our proposed codebook reveals that it is in general not correct to take the rate of codebook which has the error detection and correction capability to be less than 1.
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Keywords:
- omnidirectional radiation /
- wireless communication network /
- switch node /
- M -dimension space-time error correction code
[1] Wu J G, Wu Z M, Lin X D, Zhang Y, Zhong D Z,Xia G Q 2005 Acta Phy. Sin. 54 4169 (in Chinese)[吴加贵、吴正茂、林晓东、张 毅、钟东洲、夏光琼 2005 物理学报 54 4169]
[2] Yin J W, Hui J Y, Wang Y L, Hui J 2007 Acta Phy. Sin. 56 5915 (in Chinese)[殷敬伟、惠俊英、王逸林、惠 娟 2007 物理学报 56 5915]
[3] Rudolf A, Cai N, Robert L S 2000 IEEE Trans. Inf. Theory 46 1204
[4] Robert L S, Raymond W Y, Cai N 2003 IEEE Trans. Inf. Theory 49 371
[5] Raymond W Y, Robert L S, CAI N 2005 Network Coding Theory (Foundation and Trends in Communication and Information Technology) P15
[6] Jaggsi S, Sanders P, Chou P A 2005 IEEE Trans. Inf. Theory 51 1973
[7] Zhang S, Liew S, Lam P 2006 Proceeding of ACM/IEEE International Conference on Mobile Compnting and Networking Los Angeles, USA, 23—26 S, 2006 P1022
[8] Ho T, Medard M, Koetter R 2006 IEEE Trans. Inf. Theory 52 4413
[9] Wu Y, Jain K, Kungs Y 2006 IEEE Trans. Inf. Theory 52 2398
[10] Xue B L 2006 IEEE Trans. Nework 52 2433
[11] Shah M, Wong V 2010 IEEE Trans. Wireless Commun. 9 1924
[12] Jovicic A, Wang H, Viswanath P 2010 IEEE Trans. Inf. Theory 56 4941
[13] Sengupta S, Rayanchu S, Banerjee S 2010 IEEE/ACM Trans. Nework 18 1158
[14] Parag P, Chamberland J F 2010 IEEE Trans. Inf. Theory 56 1890
[15] Cai N, Raymond W Y 2002 Proceedings of IEEE Information Theory Workshop Bangalore, Iindia October 2002 p119
[16] Raymond W Y, Cai N 2006 Commun. Inf. Syst. 6 19
[17] Cai N, Raymond W Y 2006 Commun. Inf. Syst. 6 37
[18] Zhang Z 2006 Proceedings of IEEE Information Theory Workshop Chengdu, China, 22—26 October 2006 p88
[19] Zhang Z 2008 IEEE Trans. Inf. Theory 54 209
[20] Mac W F J, Sloane N J A 1977 The Theory of Error-correcting Codes (Amsterdam:North-Hoalland) p101
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[1] Wu J G, Wu Z M, Lin X D, Zhang Y, Zhong D Z,Xia G Q 2005 Acta Phy. Sin. 54 4169 (in Chinese)[吴加贵、吴正茂、林晓东、张 毅、钟东洲、夏光琼 2005 物理学报 54 4169]
[2] Yin J W, Hui J Y, Wang Y L, Hui J 2007 Acta Phy. Sin. 56 5915 (in Chinese)[殷敬伟、惠俊英、王逸林、惠 娟 2007 物理学报 56 5915]
[3] Rudolf A, Cai N, Robert L S 2000 IEEE Trans. Inf. Theory 46 1204
[4] Robert L S, Raymond W Y, Cai N 2003 IEEE Trans. Inf. Theory 49 371
[5] Raymond W Y, Robert L S, CAI N 2005 Network Coding Theory (Foundation and Trends in Communication and Information Technology) P15
[6] Jaggsi S, Sanders P, Chou P A 2005 IEEE Trans. Inf. Theory 51 1973
[7] Zhang S, Liew S, Lam P 2006 Proceeding of ACM/IEEE International Conference on Mobile Compnting and Networking Los Angeles, USA, 23—26 S, 2006 P1022
[8] Ho T, Medard M, Koetter R 2006 IEEE Trans. Inf. Theory 52 4413
[9] Wu Y, Jain K, Kungs Y 2006 IEEE Trans. Inf. Theory 52 2398
[10] Xue B L 2006 IEEE Trans. Nework 52 2433
[11] Shah M, Wong V 2010 IEEE Trans. Wireless Commun. 9 1924
[12] Jovicic A, Wang H, Viswanath P 2010 IEEE Trans. Inf. Theory 56 4941
[13] Sengupta S, Rayanchu S, Banerjee S 2010 IEEE/ACM Trans. Nework 18 1158
[14] Parag P, Chamberland J F 2010 IEEE Trans. Inf. Theory 56 1890
[15] Cai N, Raymond W Y 2002 Proceedings of IEEE Information Theory Workshop Bangalore, Iindia October 2002 p119
[16] Raymond W Y, Cai N 2006 Commun. Inf. Syst. 6 19
[17] Cai N, Raymond W Y 2006 Commun. Inf. Syst. 6 37
[18] Zhang Z 2006 Proceedings of IEEE Information Theory Workshop Chengdu, China, 22—26 October 2006 p88
[19] Zhang Z 2008 IEEE Trans. Inf. Theory 54 209
[20] Mac W F J, Sloane N J A 1977 The Theory of Error-correcting Codes (Amsterdam:North-Hoalland) p101
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