• Vol 6, No 2 (2015)
  • Electrical, Electronics, and Computer Engineering

Ergodic Capacity Analysis of Full-duplex Mimo Relay Channel using Tracy-Widom Distribution with Processing Delay

Ajib Setyo Arifin, Tomoaki Ohtsuki


Cite this article as:

Arifin, A.S., Ohtsuki, T., 2015. Ergodic Capacity Analysis of Full-duplex Mimo Relay Channel using Tracy-Widom Distribution with Processing Delay. International Journal of Technology. Volume 6(2), pp. 151-159

123
Downloads
Ajib Setyo Arifin Department of Electrical Engineering, Faculty of Engineering, Universitas Indonesia, Kampus UI Depok 16424, Indonesia
Tomoaki Ohtsuki Faculty of Science and Technology, Keio University, Japan
Email to Corresponding Author

Abstract
image

We explore full-duplex technique in wireless communication particularly for relay networks. We consider the relay to operate in full-duplex, which transmission and reception are conducted in the same channel. We investigate potential benefits of full-duplex technique in relay networks, which uses multiple antennas for transmission and reception combined with Amplify-Forward (AF) scenario. We study the effects of multiple antennas in terms of relay capacity. We derive an ergodic capacity expression using Tracy-Widom distribution. Using Singular Value Decomposition (SVD) and perfect Channel State Information (CSI), we investigate three scenarios: First, we consider the relay to have antenna larger than that of both source and destination. Second, we consider both relay and destination to have antenna larger than that of source. Third, we consider both relay and source to have antenna larger than that of destination. We show the results that the capacity of relay with full-duplex technique is almost twice the capacity of half-duplex. We show that increasing the number of destination antennas is not help much when one of source antennas is small. Moreover, the capacity decreases due to channel hardening effect, when the number of destination antennas is larger than that of source.

Ergodic capacity, Multiple antennas, Full-duplex relay, Self-interference.

References

Cover, T. M. and A. A El Gamal, (1979), Capacity theorems for the relay channels IEEE Trans. Inf. Theory, Volume 25, Number. 5, pp. 572–584, IEEE.

Kramer, G., M. Gastpar, and P. Guptar, (2003), Capacity theorems for wireless relay channels, Proc. Allerton Conf. Comm., Control Comput., pp. 1074–1083.

Lee, K. J., J. S. Kim, G. Caire, and I. Lee, (2010), Asymptotic ergodic capacity analysis for mimo amplify-and-forward relay networks, IEEE Trans. Wireless Commun., Volume 9, Number 9, pp. 2712–2717, IEEE.

Kang, Y. Y. and J. H. Cho, (2009), Capacity of mimo wireless channel with full-duplex amplify-and-forward relay, Proc. IEEE PIMRC, pp. 117–121.

Riihonen, T., S. Werner, and R. Wichman, (2011), Mitigation of loopback self-interference in full-duplex mimo relays, IEEE Trans. Signal Process., Volume 59, Number 12, pp. 5983–5993, IEEE.

Wang, B., J. Zhang, and A. H. Madsen, (2005), On the capacity of mimo relay channels,” IEEE Trans. Inf. Theory, Volume 51, Number 1, pp. 29–43, IEEE.

Madsen, A. H. and J. Zhang, (2005), Capacity bounds and power allocation for wireless relay channels, IEEE Trans. Inf. Theory, Volume 51, Number 6, pp. 2020–2040, IEEE.

Jain, M., J. I. Choi, T. Kim, D. Bharadia, S. Seth, K. Srinivasan, P. Levis, S. Katti, and P. Sinha, (2011), Practical, real-time, full duplex wireless, Proc. MOBICOM, pp. 301–312.

Sabharwal, A., P. Schniter, Dongning Guo, D.W. Bliss, S. Rangarajan, and R. Wichman, (2014), In-band full-duplex wireless: Challenges and opportunities, IEEE J. Sel. Area Commun., Volume 32, Number 9, pp. 1637–1652, IEEE.

Everett, E., A. Sahai, and A. Sabharwal, (2014), Passive self-interference suppression for full-duplex infrastructure nodes, IEEE Trans. Wireless Commun., Volume 13, Number 2, pp. 680–694, IEEE.

Tang, X. and Y. Hua, (2007) Optimal design of non-regenerative mimo wireless relays, IEEE Trans. Wireless Commun., Volume 6, Number 4, pp. 1398–1407, IEEE.

Medina, O. M., J. Vidal, and A. Agustin, (2007), Linear transceiver design in nonregenerative relays with channel state information, IEEE Trans. Signal Process., Volume 55, Number 6, pp. 2593–2604, IEEE.

Dieng, M. and C. A. Tracy, (2011), Random Matrices, Random Processes and Integrable Systems CRM Series in Mathematical Physics, Springer.

Gan Z., (2015), Joint beamforming optimization and power control for full-duplex mimo two-way relay channel, IEEE Trans. Signal Process., Volume 63, Number 3, pp. 555–566, IEEE.

Telatar, I. E., (1999), Capacity of multi-antenna gaussian channels, Eur. Trans. Telecommun., Volume 10, Number 0, pp. 585–595, Wiley-Blackwell.

Johansson, K., (2000), Shape fluctuations and random matrices, Commun. Mathematical Physics, Volume 209, Number 2, pp. 437–476, Springer.

Johnstone, I. M., (2001), On the distribution of the largest eigenvalue in principal components analysis,” Annals Statistics., Volume 29, Number 2, pp. 295–327, Institute of Mathematical Statistics.

Soshnikov, A., (2002), A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices,” J. Statistical Physics, Volume 108, Number 5–6, pp. 1033–1056, Springer.

Hochwald, B. M., T. L. Marzetta, and V. Tarokh, (2004), Multiple-antenna channel hardening and its implications for rate feedback and scheduling, IEEE Trans. Inf. Theory, Volume 50, Number 9, pp. 1893–1909, IEEE.