Abstract
In this paper, we look into the performance of decode-and-forward (DF) relaying system in the presence of both channel estimation error (CEE) and radio frequency impairments (RFI). We have sub-divided the analysis into different cases based on the presence of RFI at the relay, source and destination. First, the end-to-end signal-to-noise-plus-distortion-and-error ratio (SNDER) expression is derived, followed by an exact closed-form outage probability (OP) expression for Nakagami-m fading channel. As a special case, the OP analysis for Rayleigh fading channel is also provided. From the derived expressions, the relation amongst CEE and RFI is analyzed. For a complete study, the high SNR analysis of the derived equations is also carried out. The analytical results have been verified using the Monte Carlo simulations. Intriguing results are presented with the help of plots shown in the numerical analysis. Here, we have presented plots which deal with different channel conditions. Further, plots comparing symmetric and asymmetric channels are also presented.
Part of this paper was presented at IEEE Conference on Communication Systems & Networks (COMSNETS), Bangalore, India, January 4–8 2017 [23].
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Notes
- 1.
An important property of the distortion noise caused at an antenna is that, it is proportional to the signal power at the antenna (i.e. it is a modification of the transmitted signal whereas the traditional noise at the receiver is modeled as random fluctuations in the circuits at the receiver).
- 2.
EVM is a common quality measure of RF transceivers and is the ratio of the average distortion magnitude to the average signal magnitude. 3GPP LTE has EVM requirements in the range \( [0.08,\,0.175] \) [2].
References
Björnson, E., Jorswieck, E., et al.: Optimal resource allocation in coordinated multi-cell systems. Found. Trends Commun. Inf. Theor. 9(2–3), 113–381 (2013)
Bjornson, E., Matthaiou, M., Debbah, M.: A new look at dual-hop relaying: Performance limits with hardware impairments. IEEE Trans. Commun. 61(11), 4512–4525 (2013)
Bjornson, E., Papadogiannis, A., Matthaiou, M., Debbah, M.: On the impact of transceiver impairments on AF relaying. In: Proceedings of the IEEE ICASSP13, Vancouver, Canada, pp. 4948–4952, May 2013
Bussgang, J.: Crosscorrelation functions of amplitude-distorted Gaussian signals. Research Laboratory of Electronics (1952)
Duy, T., Duong, T.Q., da Costa, D.B., Bao, V., Elkashlan, M.: Proactive relay selection with joint impact of hardware impairment and co-channel interference. IEEE Trans. Commun. 63(5), 1594–1606 (2015)
Duy, T.T., Trang, C.N., Bao, V.N.Q., Hanh, T.: Joint impact of hardware impairment and co-channel interference on multi-hop relaying. In: International Conference on Advanced Technologies for Communications (ATC), pp. 88–92. IEEE, October 2015
Gao, F., Cui, T., Nallanathan, A.: Optimal training design for channel estimation in decode-and-forward relay networks with individual and total power constraints. IEEE Trans. Sig. Process. 56(12), 5937–5949 (2008)
Hasna, M.O., Alouini, M.S.: End-to-end performance of transmission systems with relays over Rayleigh-fading channels. IEEE Trans. Wirel. Commun. 2(6), 1126–1131 (2003)
Hasna, M., Alouini, M.S.: A performance study of dual-hop transmissions with fixed gain relays. IEEE Trans. Wirel. Commun. 3(6), 1963–1968 (2004)
Hassibi, B., Hochwald, B.M.: How much training is needed in multiple-antenna wireless links? IEEE Trans. Inf. Theor. 49(4), 951–963 (2003)
Hua, Y., Bliss, D.W., Gazor, S., Rong, Y., Sung, Y.: Theories and methods for advanced wireless relays-Issue I. IEEE J. Sel. Areas Commun. 30(8), 1297–1303 (2012)
Ikki, S., Ahmed, M.H.: Performance of decode-and-forward cooperative diversity networks over Nakagami-m fading channels. In: Proceedings of the IEEE GLOBECOM, pp. 4328–4333, November 2007
Ikki, S.S.: Performance analysis of cooperative diversity networks with imperfect channel estimation over Rician fading channels. IET Sign. Process. 6(6), 577–583 (2012)
Ikki, S.S., Amin, O., Uysal, M.: Performance analysis of cooperative diversity networks with imperfect channel estimation. In: Proceedings of the IEEE ICC, pp. 1–5, June 2010
Kay, S.M.: Fundamentals of Statistical Signal Processing: Estimation Theory. Prentice Hall, Englewood Cliffs (1993)
Laneman, J.N., Tse, D.N., Wornell, G.W.: Cooperative diversity in wireless networks: efficient protocols and outage behavior. IEEE Trans. Inf. Theor. 50(12), 3062–3080 (2004)
Lee, S., Han, M., Hong, D.: Average SNR and ergodic capacity analysis for proactive and reactive DF relaying over Rayleigh fading channels. In: IEEE 69th VTC Spring 2009, pp. 1–5. IEEE, April 2009
Lee, S., Han, M., Hong, D.: Average SNR and ergodic capacity analysis for opportunistic DF relaying with outage over Rayleigh fading channels. IEEE Trans. Wirel. Commun. 8(6), 2807–2812 (2009)
Li, J., Ge, J., Zhang, C., Shi, J., Rui, Y., Guizani, M.: Impact of channel estimation error on bidirectional MABC-AF relaying with asymmetric traffic requirements. IEEE Trans. Veh. Technol. 62(4), 1755–1769 (2013)
Medard, M.: The effect upon channel capacity in wireless communications of perfect and imperfect knowledge of the channel. IEEE Trans. Inf. Theor. 46(3), 933–946 (2000)
Mheidat, H., Uysal, M.: Impact of receive diversity on the performance of amplify-and-forward relaying under APS and IPS power constraints. IEEE Commun. Lett. 10(6), 468–470 (2006)
Mishra, A.K., Gowda, S.C.M., Singh, P.: Impact of hardware impairments on TWRN and OWRN AF relaying systems with imperfect channel estimates. In: Proceedings of the IEEE WCNC, March 2017
Mishra, A.K., Mallick, D., Issar, M., Singh, P.: Performance analysis of dual-hop DF relaying systems in the combined presence of CEE and RFI. In: Proceedings of the IEEE COMSNETS, pp. 354–359, January 2017
Mishra, A.K., Mallick, D., Singh, P.: Combined effect of RF impairment and CEE on the performance of dual-hop fixed-gain AF relaying. IEEE Commun. Lett. 20(9), 1725–1728 (2016)
Pabst, R., Walke, B.H., Schultz, D.C., Herhold, P., Yanikomeroglu, H., Mukherjee, S., Viswanathan, H., Lott, M., Zirwas, W., Dohler, M., et al.: Relay-based deployment concepts for wireless and mobile broadband radio. IEEE Commun. Mag. 42(9), 80–89 (2004)
Schenk, T.: RF Imperfections in High-Rate Wireless Systems: Impact and Digital Compensation. Springer, Heidelberg (2008)
Soldani, D., Dixit, S.: Wireless relays for broadband access. IEEE Commun. Mag. 46(3), 58–66 (2008)
Studer, C., Wenk, M., Burg, A.: MIMO transmission with residual transmit-RF impairments. In: IGT/IEEE WSA, pp. 189–196 (2010)
Studer, C., Wenk, M., Burg, A.: System-level implications of residual transmit-RF impairments in MIMO systems. In: Proceedings of the 5th European Conference on Antennas and Propagation, pp. 2686–2689. IEEE (2011)
Wang, L., Cai, Y., Yang, W.: On the finite-SNR DMT of two-way AF relaying with imperfect CSI. IEEE Wirel. Commun. Lett. 1(3), 161–164 (2012)
Xu, X., Cai, Y., Cai, C., Yang, W.: Overall outage probability of two-way amplify-and-forward relaying in nakagami-m fading channels. In: IEEE WCSP, pp. 1–4, November 2011
Yang, C., Wang, W., Zhao, S., Peng, M.: Performance of decode-and-forward opportunistic cooperation with channel estimation errors. In: Proceedings of the IEEE PIMRC, pp. 1967–1971, September 2010
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Mishra, A.K., Mallick, D., Issar, M., Singh, P. (2017). Dual-Hop Decode-and-Forward Relaying in the Combined Presence of CEE and RFI: Performance Analysis and Comparison. In: Sastry, N., Chakraborty, S. (eds) Communication Systems and Networks. COMSNETS 2017. Lecture Notes in Computer Science(), vol 10340. Springer, Cham. https://doi.org/10.1007/978-3-319-67235-9_10
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