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Erschienen in: Wireless Networks 6/2019

12.03.2018

Three-phase two-way relaying with imperfect channel estimation and asymmetric traffic requirements: performance analysis and optimization

verfasst von: Suneel Yadav

Erschienen in: Wireless Networks | Ausgabe 6/2019

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Abstract

We study the effect of imperfect channel estimation (ICE) and asymmetric traffic requirements (ATRs) on the performance of bidirectional relaying with a direct link by employing three-phase analog network coding under Nakagami-m fading. Under such a realistic scenario, a tight lower bound on the overall outage probability is derived in closed-form, while a useful expression is presented for the asymptotically low outage regime. We also deduce the tight closed-form expression for the ergodic sum-rate. Furthermore, we formulate and solve analytically three optimization problems viz., relay power allocation under fixed location of the relay, relay position with fixed relay power allocation, and joint optimization of relay power allocation and location. Our results reveal that for given ICE, the optimal relay location offers significant system performance enhancement under ATRs, whilst the optimal relay power allocation has a more noticeable impact under symmetric traffic. It is also shown that the joint optimization of relay power allocation and location can further enhance the system performance, regardless of ATRs and ICE. Above all, based on the direct link quality, we show that the considered scheme outperforms its two-phase counterpart, even in the low signal-to-noise ratio regime.

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Fußnoten
1
Note that we have performed Monte-Carlo simulations up to \(10^{6}\) trials and observed that the approximation error is less than 0.0041 for \(\varOmega _{e_{a}}=\varOmega _{e_{b}}=\varOmega _{e_{o}}=0.1\) and converges to zero for \(\varOmega _{e_{a}}=\varOmega _{e_{b}}=\varOmega _{e_{o}}=0.01\) with the following parameters \(m_{o}=m_{a}=m_{b}=1\), \(\beta _{a}=\beta _{b}=0.5\), \(\varOmega _{a}=\varOmega _{b}=16\), and \(\varOmega _{o}=1\).
 
2
On using (17) with the fact that maximizing \(\frac{1}{2}\log _{2}x\) is equivalent to minimizing \(\frac{1}{x}\), the optimization problems based on ESR maximization can be easily evaluated. Such formulation is skipped here for brevity.
 
Literatur
1.
Zurück zum Zitat Zhang, C., Ge, J., Li, J., Rui, Y., & Guizani, M. (2015). A unified approach for calculating the outage performacne of two-way AF relaying over fading channels. IEEE Transactions on Vehicular Technology, 64(3), 1218–1229.CrossRef Zhang, C., Ge, J., Li, J., Rui, Y., & Guizani, M. (2015). A unified approach for calculating the outage performacne of two-way AF relaying over fading channels. IEEE Transactions on Vehicular Technology, 64(3), 1218–1229.CrossRef
2.
Zurück zum Zitat Yang, K., Yang, N., Xing, C., & Wu, J. (2013). Relay antenna selection in MIMO two-way relay networks over Nakagami-m fading channels. IEEE Transactions on Communications, 63(5), 2349–2362. Yang, K., Yang, N., Xing, C., & Wu, J. (2013). Relay antenna selection in MIMO two-way relay networks over Nakagami-m fading channels. IEEE Transactions on Communications, 63(5), 2349–2362.
4.
Zurück zum Zitat Li, J., Zheng, Y., Ge, J., Zhang, C., Gong, F. K., & Guizani, M. (2016). Low-complexity opportunistic transmission schemes for multi-user multi-relay asymmetric bidirectional relaying networks. IEEE Transactions on Wireless Communications, 15(8), 5167–5181.CrossRef Li, J., Zheng, Y., Ge, J., Zhang, C., Gong, F. K., & Guizani, M. (2016). Low-complexity opportunistic transmission schemes for multi-user multi-relay asymmetric bidirectional relaying networks. IEEE Transactions on Wireless Communications, 15(8), 5167–5181.CrossRef
6.
Zurück zum Zitat Park, J. C., Song, I., & Kim, Y. H. (2012). Outage-optimal allocation of relay power for analog network coding with three transmission phases. IEEE Communications Letters, 16(6), 838–841.CrossRef Park, J. C., Song, I., & Kim, Y. H. (2012). Outage-optimal allocation of relay power for analog network coding with three transmission phases. IEEE Communications Letters, 16(6), 838–841.CrossRef
7.
Zurück zum Zitat Yadav, S., & Upadhyay, P. K. (2013). Performance of three-phase analog network coding with relay selection in Nakagami-m fading. IEEE Communications Letters, 17(8), 1620–1623.CrossRef Yadav, S., & Upadhyay, P. K. (2013). Performance of three-phase analog network coding with relay selection in Nakagami-m fading. IEEE Communications Letters, 17(8), 1620–1623.CrossRef
8.
Zurück zum Zitat Fang, Z., & Zhang, L. (2015). Three-phase differential transmission for two-way relay networks with direct link. In Proccedings of 5th international conference on electronics information and emergency communincation (ICEIEC) (pp. 297–300). Fang, Z., & Zhang, L. (2015). Three-phase differential transmission for two-way relay networks with direct link. In Proccedings of 5th international conference on electronics information and emergency communincation (ICEIEC) (pp. 297–300).
9.
Zurück zum Zitat Chang, R. Y., Lin, S.-J., & Chung, W.-H. (2015). On network coding and modulation mapping for three-phase bidirectional relaying. In Proccedings of IEEE 26th international symposium on personal, indoor and mobile radio communications (pp. 191–196). Chang, R. Y., Lin, S.-J., & Chung, W.-H. (2015). On network coding and modulation mapping for three-phase bidirectional relaying. In Proccedings of IEEE 26th international symposium on personal, indoor and mobile radio communications (pp. 191–196).
10.
Zurück zum Zitat Ntontin, K., Renzo, M. D., & Verikoukis, C. (2016). Analog network-coded two-way relaying under the impact of CSI errors and network interference. IEEE Transactions on Vehicular Technology, 65(11), 9029–9040.CrossRef Ntontin, K., Renzo, M. D., & Verikoukis, C. (2016). Analog network-coded two-way relaying under the impact of CSI errors and network interference. IEEE Transactions on Vehicular Technology, 65(11), 9029–9040.CrossRef
11.
Zurück zum Zitat Salari, S., Amirani, M. Z., Kim, I.-M., Kim, D. I., & Yang, J. (2016). Distributed beamforming in two-way relay networks with interference and imperfect CSI. IEEE Transactions on Wireless Communications, 15(6), 4455–4469.CrossRef Salari, S., Amirani, M. Z., Kim, I.-M., Kim, D. I., & Yang, J. (2016). Distributed beamforming in two-way relay networks with interference and imperfect CSI. IEEE Transactions on Wireless Communications, 15(6), 4455–4469.CrossRef
12.
Zurück zum Zitat Wang, C., Liu, T. C.-K., & Dong, X. (2012). Impact of channel estimation error on the performance of amplify-and-forward two-way relaying. IEEE Transactions on Vehicular Technology, 61(3), 1197–1207.CrossRef Wang, C., Liu, T. C.-K., & Dong, X. (2012). Impact of channel estimation error on the performance of amplify-and-forward two-way relaying. IEEE Transactions on Vehicular Technology, 61(3), 1197–1207.CrossRef
14.
Zurück zum Zitat Chang, Z., Tapani, R., & Niu, Z. (2014). Radio resource allocation for collaborative OFDMA relay networks with imperfect channel state information. IEEE Transactions on Wireless Communications, 13(5), 2824–2835.CrossRef Chang, Z., Tapani, R., & Niu, Z. (2014). Radio resource allocation for collaborative OFDMA relay networks with imperfect channel state information. IEEE Transactions on Wireless Communications, 13(5), 2824–2835.CrossRef
15.
Zurück zum Zitat Yadav, S., & Upadhyay, P. K. (2014). Overall outage analysis of three-phase analog network coding with channel estimation errors. In Proccedings of IEEE vehicular technology conference (pp. 1–5). Yadav, S., & Upadhyay, P. K. (2014). Overall outage analysis of three-phase analog network coding with channel estimation errors. In Proccedings of IEEE vehicular technology conference (pp. 1–5).
16.
Zurück zum Zitat Ji, X., Zheng, B., Cai, Y., & Zou, L. (2012). On the study of half-duplex asymmetric two-way relay transmission using an amplify-and-forward relay. IEEE Transactions on Vehicular Technology, 61(4), 1649–1664.CrossRef Ji, X., Zheng, B., Cai, Y., & Zou, L. (2012). On the study of half-duplex asymmetric two-way relay transmission using an amplify-and-forward relay. IEEE Transactions on Vehicular Technology, 61(4), 1649–1664.CrossRef
17.
Zurück zum Zitat Zhang, C., Ge, J., Li, J., & Hu, Y. (2013). Performance evaluation for asymmetric two-way AF relaying in Rician fading. IEEE Wireless Communications Letters, 2(3), 307–310.CrossRef Zhang, C., Ge, J., Li, J., & Hu, Y. (2013). Performance evaluation for asymmetric two-way AF relaying in Rician fading. IEEE Wireless Communications Letters, 2(3), 307–310.CrossRef
18.
Zurück zum Zitat Ni, Z., Zhang, X., & Yang, D. (2014). Outage performance of two-way fixed gain amplify-and-forward relaying system with asymmetric traffic requirements. IEEE Communications Letters, 18(1), 78–81.CrossRef Ni, Z., Zhang, X., & Yang, D. (2014). Outage performance of two-way fixed gain amplify-and-forward relaying system with asymmetric traffic requirements. IEEE Communications Letters, 18(1), 78–81.CrossRef
20.
Zurück zum Zitat Yadav, S., Chawla, R., & Upadhyay, P. K. (2016). Outage performance and location optimization for traffic-aware two-way relaying with direct link. In Proceedings of international conference on signal processing and communications (SPCOM) (pp. 1–5). Yadav, S., Chawla, R., & Upadhyay, P. K. (2016). Outage performance and location optimization for traffic-aware two-way relaying with direct link. In Proceedings of international conference on signal processing and communications (SPCOM) (pp. 1–5).
21.
Zurück zum Zitat Li, J., Ge, J., Zhang, C., Shi, J., Rui, Y., & Guizani, M. (2013). Impact of channel estimation error on bidirectional MABC-AF relaying with asymmetric traffic requirements. IEEE Transactions on Vehicular Technology, 62(4), 1755–1769.CrossRef Li, J., Ge, J., Zhang, C., Shi, J., Rui, Y., & Guizani, M. (2013). Impact of channel estimation error on bidirectional MABC-AF relaying with asymmetric traffic requirements. IEEE Transactions on Vehicular Technology, 62(4), 1755–1769.CrossRef
22.
Zurück zum Zitat Hwang, K. S., Ju, M., & Alouini, M.-S. (2013). Outage performance of opportunistic two-way amplify-and-forward relaying with outdated channel state information. IEEE Transactions on Communications, 61(9), 3635–3643.CrossRef Hwang, K. S., Ju, M., & Alouini, M.-S. (2013). Outage performance of opportunistic two-way amplify-and-forward relaying with outdated channel state information. IEEE Transactions on Communications, 61(9), 3635–3643.CrossRef
23.
Zurück zum Zitat Zhang, C., Ge, J., Li, J., & Hu, Y. (2012). Fairness-aware power allocation for asymmetric two-way AF relaying networks. Electronics Letters, 48(15), 959–961.CrossRef Zhang, C., Ge, J., Li, J., & Hu, Y. (2012). Fairness-aware power allocation for asymmetric two-way AF relaying networks. Electronics Letters, 48(15), 959–961.CrossRef
24.
Zurück zum Zitat Zhang, C., Ge, J., Li, J., Gong, F., Ji, Y., & Farah, M. A. (2016). Energy efficiency and spectral efficiency tradeoff for asymmetric two-way AF relaying with statistical CSI. IEEE Transactions on Vehicular Technology, 65(4), 2833–2839.CrossRef Zhang, C., Ge, J., Li, J., Gong, F., Ji, Y., & Farah, M. A. (2016). Energy efficiency and spectral efficiency tradeoff for asymmetric two-way AF relaying with statistical CSI. IEEE Transactions on Vehicular Technology, 65(4), 2833–2839.CrossRef
25.
Zurück zum Zitat Xu, K., Zhang, D., Xu, Y., & Ma, W. (2014). On the equivalence of two optimal power allocation schemes for A-TWRC. IEEE Transactions on Vehicular Technology, 63(4), 1970–1976.CrossRef Xu, K., Zhang, D., Xu, Y., & Ma, W. (2014). On the equivalence of two optimal power allocation schemes for A-TWRC. IEEE Transactions on Vehicular Technology, 63(4), 1970–1976.CrossRef
26.
Zurück zum Zitat Ji, X., Zhu, W.-P., & Massicotte, D. (2014). Adaptive power control for asymmetric two-way amplify-and-forward relaying with individual power constraints. IEEE Transactions on Vehicular Technology, 63(9), 4315–4333.CrossRef Ji, X., Zhu, W.-P., & Massicotte, D. (2014). Adaptive power control for asymmetric two-way amplify-and-forward relaying with individual power constraints. IEEE Transactions on Vehicular Technology, 63(9), 4315–4333.CrossRef
27.
Zurück zum Zitat Wang, J. S., Lee, S. R., & Kim, Y. H. (2014). Rate-aware three phase analog network coding with low-complexity multi-antenna relay processing. In Proceedinigs of IEEE WCNC (pp. 1065–1069). Wang, J. S., Lee, S. R., & Kim, Y. H. (2014). Rate-aware three phase analog network coding with low-complexity multi-antenna relay processing. In Proceedinigs of IEEE WCNC (pp. 1065–1069).
28.
Zurück zum Zitat ElHalawany, B. M., Elsabrouty, M., Muta, O., Abdelrahman, A., & Furukawa, H. (2014). Joint energy-efficient single relay selection and power allocation for analog network coding with three transmission phases. In Proceedinigs of IEEE VTC spring (pp. 1–7). ElHalawany, B. M., Elsabrouty, M., Muta, O., Abdelrahman, A., & Furukawa, H. (2014). Joint energy-efficient single relay selection and power allocation for analog network coding with three transmission phases. In Proceedinigs of IEEE VTC spring (pp. 1–7).
29.
Zurück zum Zitat Yadav, S., Upadhyay, P. K., & Prakriya, S. (2014). Performance evaluation and optimization for two-way relaying with multi-antenna sources. IEEE Transactions on Vehicular Technology, 63(6), 2982–2989.CrossRef Yadav, S., Upadhyay, P. K., & Prakriya, S. (2014). Performance evaluation and optimization for two-way relaying with multi-antenna sources. IEEE Transactions on Vehicular Technology, 63(6), 2982–2989.CrossRef
30.
Zurück zum Zitat Soleimani-Nasab, E., Matthaiou, M., Ardebilipour, M., & Karragiannidis, G. K. (2013). Two-way AF relaying in the presence of co-channel interference. IEEE Transactions on Communications, 61(8), 3156–3169.CrossRef Soleimani-Nasab, E., Matthaiou, M., Ardebilipour, M., & Karragiannidis, G. K. (2013). Two-way AF relaying in the presence of co-channel interference. IEEE Transactions on Communications, 61(8), 3156–3169.CrossRef
31.
Zurück zum Zitat Yadav, S., & Upadhyay, P. K. (2015). Impact of outdated channel estimates on opportunistic two-way ANC-based relaying with three-phase transmissions. IEEE Transactions on Vehicular Technology, 64(12), 5750–5766.CrossRef Yadav, S., & Upadhyay, P. K. (2015). Impact of outdated channel estimates on opportunistic two-way ANC-based relaying with three-phase transmissions. IEEE Transactions on Vehicular Technology, 64(12), 5750–5766.CrossRef
32.
Zurück zum Zitat Gradshteyn, I. S., & Ryzhik, I. M. (2000). Tables of integrals, series and products (6th ed.). New York: Academic Press.MATH Gradshteyn, I. S., & Ryzhik, I. M. (2000). Tables of integrals, series and products (6th ed.). New York: Academic Press.MATH
Metadaten
Titel
Three-phase two-way relaying with imperfect channel estimation and asymmetric traffic requirements: performance analysis and optimization
verfasst von
Suneel Yadav
Publikationsdatum
12.03.2018
Verlag
Springer US
Erschienen in
Wireless Networks / Ausgabe 6/2019
Print ISSN: 1022-0038
Elektronische ISSN: 1572-8196
DOI
https://doi.org/10.1007/s11276-018-1707-2

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