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

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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

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

  1. (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)
  2. (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

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

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

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