Superimposed training design based on Bayesian optimisation for channel estimation in two-way relay networks
Superimposed training design based on Bayesian optimisation for channel estimation in two-way relay networks
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- Author(s): X. Xu 1 ; J. Wu 1 ; S. Ren 1 ; L. Song 1 ; H. Xiang 1
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View affiliations
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Affiliations:
1: School of Electronics Engineering and Computer Science, Peking University, Beijing, People's Republic of China
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Affiliations:
1: School of Electronics Engineering and Computer Science, Peking University, Beijing, People's Republic of China
- Source:
Volume 6, Issue 18,
18 December 2012,
p.
3131 – 3139
DOI: 10.1049/iet-com.2012.0418 , Print ISSN 1751-8628, Online ISSN 1751-8636
In this study, the superimposed training strategy is introduced into orthogonal frequency division multiplexing-modulated amplify-and-forward two-way relay network (TWRN) to perform two-hop transmission-compatible individual channel estimation. Through the superposition of an additional training vector at the relay under power allocation, the separated source–relay channel information can be directly obtained at the destination and then used to estimate the channels. The closed-form Bayesian Cramér-Rao lower bound (CRLB) is derived for the estimation of block-fading frequency-selective channels with random channel parameters, and orthogonal training vectors from the two source nodes are required to keep the Bayesian CRLB simple because of the self-interference in the TWRN. A set of optimal training vectors designed from the Bayesian CRLB are applied in an iterative linear minimum mean-square-error channel estimation algorithm, and the mean-square-error performance is provided to verify the Bayesian CRLB results.
Inspec keywords: Bayes methods; OFDM modulation; mean square error methods; optimisation; vectors; amplify and forward communication; relay networks (telecommunication); fading channels
Other keywords:
Subjects: Other topics in statistics; Interpolation and function approximation (numerical analysis); Optimisation techniques; Modulation and coding methods; Radio links and equipment; Algebra
References
-
-
1)
- B. Jiang , F. Gao , X. Gao , A. Nallanathan . Channel estimation and training design for two-way relay networks with power allocation. IEEE Trans. Wirel. Commun. , 2022 - 2032
-
2)
- Zahedi, B., Ahmadian, M., Mohamed-pour, K., Peyghami, M., Norouzi, M., Salari, S.: `Pilot-based individual forward and backward channel estimation in amplify-and-forward OFDM relay networks', Wireless Days (WD), 2011 IFIP, October 2011, p. 1–5.
-
3)
- Wang, G., Gao, F., Li, G., Tellambura, C.: `Data-dependent channel estimation and superimposed training design in amplify and forward relay networks', IEEE Wireless Communications and Networking Conf., 2011 (WCNC), March 2011, p. 1557–1561.
-
4)
- G. Wang , F. Gao , X. Zhang , C. Tellambura . Superimposed training-based joint CFO and channel estimation for CP-OFDM modulated two-way relay networks. EURASIP J. Wirel. Commun. Netw. , 1:1 - 1:9.
-
5)
- Wang, G., Gao, F., Tellambura, C.: `Superimposed pilot based joint CFO and channel estimation for CP-OFDM modulated two-way relay networks', IEEE Global Telecommunications Conf., 2010 (GLOBECOM 2010), December 2010, p. 1–5.
-
6)
- Liao, X., Fan, L., Gao, F.: `Blind channel estimation for OFDM modulated two-way relay network', Wireless Communications and Networking Conf. (WCNC), 2010 IEEE, April 2010, p. 1–5.
-
7)
- Cui, T., Kliewer, J.: `Memoryless relay strategies for two-way relay channels: performance analysis and optimization', IEEE Int. Conf. Communications, 2008. ICC08, May 2008, p. 1139–1143.
-
8)
- V. Havary-Nassab , S. Shahbazpanahi , A. Grami . Optimal distributed beamforming for two-way relay networks. IEEE Trans. Signal Process. , 3 , 1238 - 1250
-
9)
- F. Gao , R. Zhang , Y.-C. Liang . Optimal channel estimation and training design for two-way relay networks. IEEE Trans. Commun. , 10 , 3024 - 3033
-
10)
- Wang, G., Tellambura, C.: `Super-imposed pilot-aided channel estimation and power allocation for relay systems', IEEE Wireless Communications and Networking Conf., 2009. WCNC 2009, April 2009, p. 1–6.
-
11)
- Zhang, C., Ren, P.: `Two-pilot channel estimation scheme for amplify-and-forward relay networks', Int. J. Commun. Syst., 2012, 2012, pp. n/a–n/a. Available at http://www.dx.doi.org/10.1002/dac.2380.
-
12)
- Popovski, P., Yomo, H.: `Physical network coding in two-way wireless relay channels', IEEE Int. Conf. Communications, 2007. ICC07, June 2007, p. 707–712.
-
13)
- Ho, C.K., Zhang, R., Liang, Y.-C.: `Two-way relaying over OFDM optimized tone permutation and power allocation', IEEE Int. Conf. Communications, 2008. ICC08, May 2008, p. 3908–3912.
-
14)
- L. He , Y.-C. Wu , S. Ma , T.-S. Ng , H. Poor . Superimposed training-based channel estimation and data detection for OFDM amplify-and-forward cooperative systems under high mobility. IEEE Trans. Signal Process. , 1 , 274 - 284
-
15)
- Rankov, B., Wittneben, A.: `Achievable rate regions for the two-way relay channel', IEEE Int. Symp. Information Theory, 2006, July 2006, p. 1668–1672.
-
16)
- X. Li , C. Xing , Y.-C. Wu , S. Chan . Timing estimation and resynchronization for amplify-and-forward communication systems. IEEE Trans. Signal Process. , 4 , 2218 - 2229
-
17)
- Kim, H., Choi, S., Yu, H., Sung, Y., Lee, Y.: `Amplify-forward relays with superimposed pilot signals for frequency-selective fading channels', IEEE 69th Vehicular Technology Conf., 2009. VTC Spring 2009, April 2009, p. 1–5.
-
18)
- Herdin, M.: `A chunk based OFDM amplify-and-forward relaying scheme for 4 g mobile radio systems', IEEE Int. Conf. Communications, 2006. ICC06., June 2006, 10, p. 4507–4512.
-
19)
- F. Gao , R. Zhang , Y.-C. Liang . Channel estimation for OFDM modulated two-way relay networks. IEEE Trans. Signal Process. , 11 , 4443 - 4455
-
20)
- W. Yang , Y. Cai , J. Hu , W. Yang . Channel estimation for two-way relay OFDM networks. EURASIP J. Wirel. Commun. Netw. , 3:1 - 3:6.
-
21)
- K. Jitvanichphaibool , R. Zhang , Y.-C. Liang . Optimal resource allocation for two-way relay-assisted ofdma. IEEE Trans. Veh. Technol. , 7 , 3311 - 3321
-
22)
- L. Song , Y. Li , A. Huang , B. Jiao , A. Vasilakos . Differential modulation for bidirectional relaying with analog network coding. IEEE Trans. Signal Process. , 7 , 3933 - 3938
-
23)
- T.-H. Pham , Y.-C. Liang , A. Nallanathan , H. Garg . Optimal training sequences for channel estimation in bi-directional relay networks with multiple antennas. IEEE Trans. Commun. , 2 , 474 - 479
-
24)
- Cai, Y., Tu, J.: `Superimposed pilot-interference aided channel estimation and joint signal detection in amplify-and-forward relaying systems', Proc. Sixth Int. Wireless Communications and Mobile Computing Conf., ser. IWCMC10, ACM, 2010, New York, NY, USA, p. 591–595., Available at http://www.doi.acm.org/10.1145/1815396.1815533.
-
25)
- Gao, F., Jiang, B., Gao, X., Zhang, X.-D.: `Superimposed training based channel estimation for OFDM modulated AF relay networks', IEEE Int. Conf. Communications, 2011 (ICC), June 2011, p. 1–5.
-
26)
- F. Gao , B. Jiang , X. Gao , X.-D. Zhang . Superimposed training based channel estimation for OFDM modulated amplify-and-forward relay networks. IEEE Trans. Commun. , 7 , 2029 - 2039
-
27)
- Y. Li , W. Wang , J. Kong , M. Peng . Subcarrier pairing for amplify-and-forward and decode-and-forward OFDM relay links. IEEE Commun. Lett. , 209 - 211
-
28)
- Gao, Y., Lin, D., Li, B., Li, S.: `Optimal training power allocation for amplify and forward relay networks', Int. Conf. Communications, Circuits and Systems, 2010 (ICCCAS), July 2010, p. 73–77.
-
29)
- Zhang, H., Pan, D., Cui, H., Gao, F., Dai, X.: `Superimposed training based doubly selective channel estimation for OFDM modulated amplify-and-forward relay networks', Int. Conf. Systems and Informatics, 2012 (ICSAI), May 2012, p. 1463–1467.
-
30)
- L. Song , G. Hong , B. Jiao , M. Debbah . Joint relay selection and analog network coding using differential modulation in two-way relay channels. IEEE Trans. Veh. Technol. , 6 , 2932 - 2939
-
1)