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Published in: Telecommunication Systems 4/2016

09-02-2016

Reed Muller coded-cooperative diversity for multiple relays with signal space diversity and MRC reception at the destination

Authors: Saqib Ejaz, Feng-Fan Yang, Hongjun Xu

Published in: Telecommunication Systems | Issue 4/2016

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Abstract

Recently, Reed–Muller (RM) codes have been investigated for half-duplex coded-cooperative relay communication systems. RM coded-cooperative (RMCC) diversity promised considerably low encoding and decoding complexity as compared to its predecessor channel codes. In this paper, we investigate the bit error rate (BER) performance of RMCC diversity for multiple relays operating in half-duplex mode with binary phase shift keying (BPSK) and quadrature amplitude modulation such as 4-QAM. In order to improve the BER performance of 4-QAM modulation, we use well known signal space diversity (SSD) technique in the proposed system. At the destination, maximal ratio combining is used for signal detection and joint majority logic decoding is used to recover information transmitted at the destination. Monte Carlo simulations show that the RMCC diversity gains increase manifolds with inclusion of multiple relays and for higher modulation i.e., 4-QAM, SSD provides additional diversity gains over the conventional 4-QAM system. Theoretical expressions for average BER are also derived and are validated with the help of Monte Carlo simulations.

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Literature
1.
go back to reference Van Der, E. C. (1971). Meulen. Three-terminal communication channels. Advances in Applied Probability, 3, 120–154.CrossRef Van Der, E. C. (1971). Meulen. Three-terminal communication channels. Advances in Applied Probability, 3, 120–154.CrossRef
2.
go back to reference Sun, L., & Li, F. (2013). Adaptive protocol for cooperative communication systems with a single semi-blind amplify-and-forward relay. Telecommunication Systems, 53(1), 85–90.CrossRef Sun, L., & Li, F. (2013). Adaptive protocol for cooperative communication systems with a single semi-blind amplify-and-forward relay. Telecommunication Systems, 53(1), 85–90.CrossRef
3.
go back to reference Laneman, J. N., Tse, D. N. C., & Wornell, G. W. (2004). Cooperative diversity in wireless networks: Efficient protocols and outage behavior. IEEE Transactions on Information Theory, 50(12), 3062–3080.CrossRef Laneman, J. N., Tse, D. N. C., & Wornell, G. W. (2004). Cooperative diversity in wireless networks: Efficient protocols and outage behavior. IEEE Transactions on Information Theory, 50(12), 3062–3080.CrossRef
4.
go back to reference Sendonaris, A., Erkip, E., & Aazhang, B. (2003). User cooperation diversity. Part I. System description. IEEE Transactions on Communications, 51(11), 1927–1938.CrossRef Sendonaris, A., Erkip, E., & Aazhang, B. (2003). User cooperation diversity. Part I. System description. IEEE Transactions on Communications, 51(11), 1927–1938.CrossRef
5.
go back to reference Alamouti, S. (1998). A simple transmit diversity technique for wireless communications. IEEE Journal on Selected Areas in Communications, 16(8), 1451–1458.CrossRef Alamouti, S. (1998). A simple transmit diversity technique for wireless communications. IEEE Journal on Selected Areas in Communications, 16(8), 1451–1458.CrossRef
6.
go back to reference Hunter, T. E. & Nosratinia, A. (2002). Cooperation diversity through coding. In 2002 IEEE International Symposium on Information Theory, 2002. Proceedings, pp 220. Hunter, T. E. & Nosratinia, A. (2002). Cooperation diversity through coding. In 2002 IEEE International Symposium on Information Theory, 2002. Proceedings, pp 220.
7.
go back to reference Hunter, T. E., & Nosratinia, A. (2006). Diversity through coded cooperation. IEEE Transactions on Wireless Communications, 5(2), 283–289.CrossRef Hunter, T. E., & Nosratinia, A. (2006). Diversity through coded cooperation. IEEE Transactions on Wireless Communications, 5(2), 283–289.CrossRef
8.
go back to reference Zhao, B., & Valenti, M. C. (2003). Distributed turbo coded diversity for relay channel. Electronics Letters, 39(10), 786–787.CrossRef Zhao, B., & Valenti, M. C. (2003). Distributed turbo coded diversity for relay channel. Electronics Letters, 39(10), 786–787.CrossRef
9.
go back to reference Valenti, M. C. & Zhao, B. (2003). Distributed turbo codes: Towards the capacity of the relay channel. In VTC 2003-Fall. 2003 IEEE 58th Vehicular Technology Conference, 2003, vol 1, pp. 322–326, Orlando, FL, USA. Valenti, M. C. & Zhao, B. (2003). Distributed turbo codes: Towards the capacity of the relay channel. In VTC 2003-Fall. 2003 IEEE 58th Vehicular Technology Conference, 2003, vol 1, pp. 322–326, Orlando, FL, USA.
10.
go back to reference Ejaz, S., & Yang, F.-F. (2015). Turbo codes with modified code matched interleaver for coded-cooperation in half-duplex wireless relay networks. Frequenz, 69(3–4), 171–184. Ejaz, S., & Yang, F.-F. (2015). Turbo codes with modified code matched interleaver for coded-cooperation in half-duplex wireless relay networks. Frequenz, 69(3–4), 171–184.
11.
go back to reference Chakrabarti, A., De Baynast, A., Sabharwal, A., & Aazhang, B. (2007). Low density parity check codes for the relay channel. IEEE Journal on Selected Areas in Communications, 25(2), 280–291.CrossRef Chakrabarti, A., De Baynast, A., Sabharwal, A., & Aazhang, B. (2007). Low density parity check codes for the relay channel. IEEE Journal on Selected Areas in Communications, 25(2), 280–291.CrossRef
12.
go back to reference Hu, J., & Duman, T. M. (2007). Low density parity check codes over wireless relay channels. IEEE Transactions on Wireless Communications, 6(9), 3384–3394.CrossRef Hu, J., & Duman, T. M. (2007). Low density parity check codes over wireless relay channels. IEEE Transactions on Wireless Communications, 6(9), 3384–3394.CrossRef
13.
go back to reference Zhang, S.-W., Yang, F.-F., & Tang, L. (2013). An ldpc coded cooperative mimo scheme over rayleigh fading channels with unknown channel state information. Journal of Zhejiang University Science C, 14(1), 30–41.CrossRef Zhang, S.-W., Yang, F.-F., & Tang, L. (2013). An ldpc coded cooperative mimo scheme over rayleigh fading channels with unknown channel state information. Journal of Zhejiang University Science C, 14(1), 30–41.CrossRef
14.
go back to reference Blasco-Serrano, R., Thobaben, R., Andersson, M., Rathi, V., & Skoglund, Mikael. (2012). Polar codes for cooperative relaying. IEEE Transactions on Communications, 60(11), 3263–3273. Blasco-Serrano, R., Thobaben, R., Andersson, M., Rathi, V., & Skoglund, Mikael. (2012). Polar codes for cooperative relaying. IEEE Transactions on Communications, 60(11), 3263–3273.
15.
go back to reference Bravo-Santos, A. (2013). Polar codes for the rayleigh fading channel. IEEE Communications Letters, 17(12), 2352–2355.CrossRef Bravo-Santos, A. (2013). Polar codes for the rayleigh fading channel. IEEE Communications Letters, 17(12), 2352–2355.CrossRef
16.
go back to reference Zhan, Q., Minghui, D., Wang, Y., & Zhou, F. (2014). Half-duplex relay systems based on polar codes. IET Communications, 8(4), 433–440.CrossRef Zhan, Q., Minghui, D., Wang, Y., & Zhou, F. (2014). Half-duplex relay systems based on polar codes. IET Communications, 8(4), 433–440.CrossRef
17.
go back to reference Ejaz, S., Yang, F., Hongjun, X., & Zhang, S. (2015). Jointly optimized multiple reed-muller codes for wireless half-duplex coded-cooperative network with joint decoding. EURASIP Journal on Wireless Communications and Networking, 2015(1), 115.CrossRef Ejaz, S., Yang, F., Hongjun, X., & Zhang, S. (2015). Jointly optimized multiple reed-muller codes for wireless half-duplex coded-cooperative network with joint decoding. EURASIP Journal on Wireless Communications and Networking, 2015(1), 115.CrossRef
18.
go back to reference Boutros, J., & Viterbo, E. (1998). Signal space diversity: A power-and bandwidth-efficient diversity technique for the rayleigh fading channel. IEEE Transactions on Information Theory, 44(4), 1453–1467.CrossRef Boutros, J., & Viterbo, E. (1998). Signal space diversity: A power-and bandwidth-efficient diversity technique for the rayleigh fading channel. IEEE Transactions on Information Theory, 44(4), 1453–1467.CrossRef
19.
go back to reference Ahmadzadeh, S. A., Motahari, S. A., & Khandani, A. K. (2010). Signal space cooperative communication. IEEE Transactions on Wireless Communications, 9(4), 1266–1271.CrossRef Ahmadzadeh, S. A., Motahari, S. A., & Khandani, A. K. (2010). Signal space cooperative communication. IEEE Transactions on Wireless Communications, 9(4), 1266–1271.CrossRef
20.
go back to reference Kiyani, N. F. & Weber, J. H. (2007). Iterative demodulation and decoding for rotated mpsk constellations with convolutional coding and signal space diversity. In Vehicular Technology Conference, 2007. 2007 IEEE 66th VTC-2007 Fall, pp 1712–1716. Kiyani, N. F. & Weber, J. H. (2007). Iterative demodulation and decoding for rotated mpsk constellations with convolutional coding and signal space diversity. In Vehicular Technology Conference, 2007. 2007 IEEE 66th VTC-2007 Fall, pp 1712–1716.
21.
go back to reference Kiyani, N. F., Weber, J. H., Zajic, A. G. & Stuber, G. L. (2008) Performance analysis of a system using coordinate interleaving and constellation rotation in rayleigh fading channels. In Vehicular Technology Conference, 2008. IEEE 68th VTC 2008-Fall, pp. 1–5. Kiyani, N. F., Weber, J. H., Zajic, A. G. & Stuber, G. L. (2008) Performance analysis of a system using coordinate interleaving and constellation rotation in rayleigh fading channels. In Vehicular Technology Conference, 2008. IEEE 68th VTC 2008-Fall, pp. 1–5.
22.
go back to reference Ning, W., Zhongpei, Z. & Shaoqian, L. (2009). Signal space diversity in decode-and-forward cooperative communication. In WRI International Conference on Communications and Mobile Computing, 2009. CMC’09, vol 1, pp 127–130. Ning, W., Zhongpei, Z. & Shaoqian, L. (2009). Signal space diversity in decode-and-forward cooperative communication. In WRI International Conference on Communications and Mobile Computing, 2009. CMC’09, vol 1, pp 127–130.
23.
go back to reference Zhao, H., Wang, H., Kuang, J., Fei, Z. & Yan, C. (2009). Improved coded cooperation scheme with signal space diversity in wireless networks. In International Conference on Wireless Communications & Signal Processing, 2009. WCSP 2009, pp. 1–6. Zhao, H., Wang, H., Kuang, J., Fei, Z. & Yan, C. (2009). Improved coded cooperation scheme with signal space diversity in wireless networks. In International Conference on Wireless Communications & Signal Processing, 2009. WCSP 2009, pp. 1–6.
24.
go back to reference Paruk, Z., & Xu, H. (2013). Performance analysis and simplified detection for two-dimensional signal space diversity with mrc reception. IEE A, 97 Paruk, Z., & Xu, H. (2013). Performance analysis and simplified detection for two-dimensional signal space diversity with mrc reception. IEE A, 97
25.
go back to reference MacWilliams, F . J., & Sloane, N. J. A. (1977). The theory of error-correcting codes (Vol. 16). New York: Elsevier. MacWilliams, F . J., & Sloane, N. J. A. (1977). The theory of error-correcting codes (Vol. 16). New York: Elsevier.
26.
go back to reference Shu, L., Shu, L., & Costello, D. J. (2004). Error control coding. Delhi: Pearson Education India. Shu, L., Shu, L., & Costello, D. J. (2004). Error control coding. Delhi: Pearson Education India.
27.
go back to reference Sloane, N. J. A., & Whitehead, D. (1970). New family of single-error correcting codes. IEEE Transactions on Information Theory, 16(6), 717–719.CrossRef Sloane, N. J. A., & Whitehead, D. (1970). New family of single-error correcting codes. IEEE Transactions on Information Theory, 16(6), 717–719.CrossRef
28.
go back to reference Slimane, B. S. (1998). An improved psk scheme for fading channels. IEEE Transactions on Vehicular Technology, 47(2), 703–710.CrossRef Slimane, B. S. (1998). An improved psk scheme for fading channels. IEEE Transactions on Vehicular Technology, 47(2), 703–710.CrossRef
29.
go back to reference Simon, M. K., & Alouini, M.-S. (2005). Digital communication over fading channels (Vol. 95). New Jerssey: Wiley. Simon, M. K., & Alouini, M.-S. (2005). Digital communication over fading channels (Vol. 95). New Jerssey: Wiley.
30.
go back to reference Goldsmith, A. (2005). Wireless communications. Cambridge: Cambridge University Press.CrossRef Goldsmith, A. (2005). Wireless communications. Cambridge: Cambridge University Press.CrossRef
31.
go back to reference Giorgio, T., & Viterbo, E. (1996). Performance of component interleaved signal sets for fading channels. Electronics Letters, 32(13), 1170–1172.CrossRef Giorgio, T., & Viterbo, E. (1996). Performance of component interleaved signal sets for fading channels. Electronics Letters, 32(13), 1170–1172.CrossRef
32.
go back to reference Paruk, Zaid, & Hongjun, Xu. (2014). Distributed switch and stay combining with partial relay selection and signal space diversity. IET Communications, 8(1), 105–113.CrossRef Paruk, Zaid, & Hongjun, Xu. (2014). Distributed switch and stay combining with partial relay selection and signal space diversity. IET Communications, 8(1), 105–113.CrossRef
Metadata
Title
Reed Muller coded-cooperative diversity for multiple relays with signal space diversity and MRC reception at the destination
Authors
Saqib Ejaz
Feng-Fan Yang
Hongjun Xu
Publication date
09-02-2016
Publisher
Springer US
Published in
Telecommunication Systems / Issue 4/2016
Print ISSN: 1018-4864
Electronic ISSN: 1572-9451
DOI
https://doi.org/10.1007/s11235-016-0147-5

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