Tensor-Based Joint Channel Estimation and Symbol Detection for AF MIMO Relay Networks

doi:10.1007/s12204-019-2077-3

Journal of Shanghai Jiao Tong University (Science) ›› 2020, Vol. 25 ›› Issue (1): 88-96.doi: 10.1007/s12204-019-2077-3

Tensor-Based Joint Channel Estimation and Symbol Detection for AF MIMO Relay Networks

LIN Heyun2 (林和昀), YUAN Chaowei2 (袁超伟), DU Jianhe1¤ (杜建和), HU Zhongwei2 (胡仲伟)

(1. School of Information and Communication Engineering, Communication University of China, Beijing 100024, China; 2. School of Information and Communication Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China)

出版日期:2020-01-15 发布日期:2020-01-12
通讯作者: DU Jianhe (杜建和) E-mail:dujianhe1@gmail.com

Tensor-Based Joint Channel Estimation and Symbol Detection for AF MIMO Relay Networks

LIN Heyun2 (林和昀), YUAN Chaowei2 (袁超伟), DU Jianhe1¤ (杜建和), HU Zhongwei2 (胡仲伟)

(1. School of Information and Communication Engineering, Communication University of China, Beijing 100024, China; 2. School of Information and Communication Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China)

Online:2020-01-15 Published:2020-01-12
Contact: DU Jianhe (杜建和) E-mail:dujianhe1@gmail.com

摘要/Abstract

摘要： A study on the joint channel and symbol estimation issue is provided for two hop relay networks which employ the amplify-and-forward (AF) relaying approach. The encoding scheme at the source node introduces the time-domain spreading with a time-varying linear constellation precoding. Then, a set of amplifying factors matrices is utilized by the relays to amplify and forward the received data to the destination. The received signal at the destination can be constructed as a fourth-order tensor model, which is referred to as the nested parallel factor (PARAFAC) model. And then, we present a novel Levenberg-Marquardt (LM) algorithm based on this tensor model. The proposed method does not require complex signal processing at the relay, which e?ectively reduces the burden of relay. As a semi-blind method, which does not require the pilot signal, the proposed receiver can jointly recover the channels and information symbols. Moreover, the proposed semi-blind receiver is robust as it can work in different wireless channel scenarios. Simulations are conducted to demonstrate the efficiency of the proposed semi-blind approach.

关键词: fourth-order tensor, semi-blind receiver, Levenberg-Marquardt algorithm, nested parallel factor model, amplify-and-forward

Abstract: A study on the joint channel and symbol estimation issue is provided for two hop relay networks which employ the amplify-and-forward (AF) relaying approach. The encoding scheme at the source node introduces the time-domain spreading with a time-varying linear constellation precoding. Then, a set of amplifying factors matrices is utilized by the relays to amplify and forward the received data to the destination. The received signal at the destination can be constructed as a fourth-order tensor model, which is referred to as the nested parallel factor (PARAFAC) model. And then, we present a novel Levenberg-Marquardt (LM) algorithm based on this tensor model. The proposed method does not require complex signal processing at the relay, which e?ectively reduces the burden of relay. As a semi-blind method, which does not require the pilot signal, the proposed receiver can jointly recover the channels and information symbols. Moreover, the proposed semi-blind receiver is robust as it can work in different wireless channel scenarios. Simulations are conducted to demonstrate the efficiency of the proposed semi-blind approach.

Key words: fourth-order tensor, semi-blind receiver, Levenberg-Marquardt algorithm, nested parallel factor model, amplify-and-forward

中图分类号:

TN 929.53

LIN Heyun (林和昀), YUAN Chaowei (袁超伟), DU Jianhe (杜建和), HU Zhongwei (胡仲伟). Tensor-Based Joint Channel Estimation and Symbol Detection for AF MIMO Relay Networks[J]. Journal of Shanghai Jiao Tong University (Science), 2020, 25(1): 88-96.

参考文献 27

[1]	LANEMAN J N, TSE D N C, WORNELL G W.Cooperative diversity in wireless networks: Efficient protocols and outage behavior [J]. IEEE Transactions on Information Theory, 2004, 50(12): 3062-3080.
[2]	SANGUINETTI L, D'AMICO A A, RONG Y. A tutorial on the optimization of amplify-and-forward MIMO relay systems [J]. IEEE Journal on Selected Areas in Communications, 2012, 30(8): 1331-1346.
[3]	RONG Y. Joint source and relay optimization for two-way linear non-regenerative MIMO relay communications [J]. IEEE Transactions on Signal Processing,2012, 60(12): 6533-6546.
[4]	HAMMERSTROM I, WITTNEBEN A. Power allocation schemes for amplify-and-forward MIMO-OFDM relay links [J]. IEEE Transactions on Wireless Communications, 2007, 6(8): 2798-2802.
[5]	LI M, LIN M, YU Q, et al. Optimal beamformer design for dual-hop MIMO AF relay networks over rayleigh fading channels [J]. IEEE Journal on Selected Areas in Communications, 2012, 30(8): 1402-1414.
[6]	RONG Y. Optimal joint source and relay beamforming for MIMO relays with direct link [J]. IEEE Communications Letters, 2010, 14(5): 390-392.
[7]	KONG T, HUA Y B. Optimal design of source and relay pilots for MIMO relay channel estimation [J]. IEEE Transactions on Signal Processing, 2011, 59(9): 4438-4446.
[8]	SIDIROPOULOS N D, GIANNAKIS G B, BRO R.Blind PARAFAC receivers for DS-CDMA systems [J].IEEE Transactions on Signal Processing, 2000, 48(3):810-823.
[9]	SIDIROPOULOS N D, BUDAMPATI R S. Khatri-Rao space-time codes [J]. IEEE Transactions on Signal Processing, 2002, 50(10): 2396-2407.
[10]	DE ALMEID A L F. Blind joint detection and channel estimation in space-frequency diversity systems using time-varying linear constellation precoding [EB/OL].[2018-05-14]. https://www.researchgate.net.
[11]	DE ALMEID A L F, FAVIER G. Double Khatri-Rao space-time-frequency coding using semi-blind PARAFAC based receiver [J]. IEEE Signal Processing Letters, 2013, 20(5): 471-474.
[12]	RONG Y, KHANDAKER M R A, XIANG Y. Channel estimation of dual-hop MIMO relay system via parallel factor analysis [J]. IEEE Transactions on Wireless Communications, 2012, 11(6): 2224-2233.
[13]	DU J H, YUAN C W, ZHANG J B. Low complexity PARAFAC-based channel estimation for nonregenerative MIMO relay systems [J]. IET Communications, 2014, 8(12): 2193-2199.
[14]	XI H, DE ALMEID A L F. Multiuser receiver for joint symbol/channel estimation in dual-hop relaying systems [J]. Wireless Personal Communications, 2015,83(1): 17-33.
[15]	DU J H, YUAN C W, HU Z W, et al. A novel tensor-based receiver for joint symbol and channel estimation in two-hop cooperative MIMO relay systems [J]. IEEE Communications Letters, 2015, 19(11): 1961-1964.
[16]	XIMENES L R, FAVIER G, DE ALMEID A L F.Semi-blind receivers for non-regenerative cooperative MIMO communications based on nested PARAFAC modeling [J]. IEEE Transactions on Signal Processing,2015, 63(18): 4985-4998.
[17]	BRO R. Multi-way analysis in the food industry:Models, algorithms, and applications [D]. Amsterdam,Netherlands: University of Amsterdam, 1998.
[18]	KRUSKAL J B. Three-way arrays: Rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics [J]. Linear Algebra and Its Applications, 1977, 18(2): 95-138.
[19]	NION D, DE LATHAUWER L. A block component model-based blind DS-CDMA receiver [J]. IEEE Transactions on Signal Processing, 2008, 56(11): 5567-5579.
[20]	DE ALMEID A L F, FAVIER G, XIMENES L R.Space-time-frequency (STF) MIMO communication systems with blind receiver based on a generalized PARATUCK2 model [J]. IEEE Transactions on Signal Processing, 2013, 61(8): 1895-1909.
[21]	MARQUARDT D W. An algorithm for least-squares estimation of nonlinear parameters [J]. Journal of the Society for Industrial and Applied Mathematics, 1963,11(2): 431-441.
[22]	DA COSTA M N. Tensor space-time coding for MIMO wireless communication systems [D]. Campinas,Brazil: University of Campinas, 2014.
[23]	MADSEN K, NIELSEN H B, TINGLEFF O. Methods for non-linear least squares problems [M]. Copenhagen,Denmark: Technical University of Denmark, 2004.
[24]	SHIU D S, FOSCHINI G J, GANS M J, et al. Fading correlation and its e?ect on the capacity of multielement antenna systems [J]. IEEE Transactions on Communications, 2000, 48(3): 502-513.
[25]	ZHOU L, WU D, DONG Z J, et al. When collaboration hugs intelligence: Content delivery over ultradense networks [J]. IEEE Communications Magazine,2017, 55(12): 91-95.
[26]	ZHOU L, WU D, CHEN J X, et al. When computation hugs intelligence: Content-aware data processing for industrial IoT [J]. IEEE Internet of Things Journal,2018, 5(3): 1657-1666.
[27]	TSAKNAKIS I C, GIAMPOURAS P V, RONTO-GIANNIS A A, et al. A computationally e±cient tensor completion algorithm [J]. IEEE Signal Processing Letters, 2018, 25(8): 1266-1270.

Tensor-Based Joint Channel Estimation and Symbol Detection for AF MIMO Relay Networks

Tensor-Based Joint Channel Estimation and Symbol Detection for AF MIMO Relay Networks

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