多用户对双向中继系统自适应稳健波束成形

Jin WANG; Feng SHU; Ri-qing CHEN; Yu-di CUI; Yu CHEN; Jun LI

doi:10.1631/FITEE.1500134

Your Location：

Home >

Browse articles >

多用户对双向中继系统自适应稳健波束成形

常规文章 | Updated：2022-05-19

- 多用户对双向中继系统自适应稳健波束成形
- Adaptive robust beamformer formulti-pair two-way relay networks with imperfect channel state information
- 信息与电子工程前沿（英文） 2016年17卷第3期页码：265-280
- Affiliations：
  
  1School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
  2College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fuzhou 350002, China
  3National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China
- Author bio：
  
  E-mail:shufeng@njust.edu.cn
- Funds：
  
  Project supported by the Open Research Fund of National Mobile Communications Research Laboratory, Southeast University, China (No. 2013D02), the Open Research Fund of National Key Laboratory of Electromagnetic Environment, China Research Institute of Radiowave Propagation (No. 201500013), the National Natural Science Foundation of China (Nos. 61271230, 61472190, and 61501238), the Research Fund for the Doctoral Program of Higher Education of China (No. 20113219120019), and the Jiangsu Provincial Science Foundation Project, China (No. BK20150786)
- DOI：10.1631/FITEE.1500134
  中图分类号： TN929.5
- 收稿：2015-04-28，
  
  录用：2015-12-7，
  
  纸质出版：2016-03
- Accepted：
Scan QR Code
多用户对双向中继系统自适应稳健波束成形[J]. 信息与电子工程前沿（英文）, 2016,17(3):265-280.

Jin WANG, Feng SHU, Ri-qing CHEN, et al. Adaptive robust beamformer formulti-pair two-way relay networks with imperfect channel state information[J]. Frontiers of Information Technology & Electronic Engineering, 2016, 17(3): 265-280.
多用户对双向中继系统自适应稳健波束成形[J]. 信息与电子工程前沿（英文）, 2016,17(3):265-280. DOI： 10.1631/FITEE.1500134.

Jin WANG, Feng SHU, Ri-qing CHEN, et al. Adaptive robust beamformer formulti-pair two-way relay networks with imperfect channel state information[J]. Frontiers of Information Technology & Electronic Engineering, 2016, 17(3): 265-280. DOI： 10.1631/FITEE.1500134.

摘要

目的

在宽带多用户对双向中继系统中，中继的波束成形性能与信道状态信息（channel state information，CSI）的准确性密切相关。CSI的准确性取决于多普勒扩展、信道估计反馈时延、导频符号数目和发射功率等因素。本文将Gaussian-Markov信道估计误差模型系数建模为反馈时延、多普勒扩展和信噪比的联合函数。在估计出的实时CSI误差系数基础上，设计一种基于最大化信干噪比和最大化信泄噪比准则的自适应稳健波束成形算法。该算法能实时跟踪无线信道CSI估计误差的变化，提高系统的和速率和误码性能。

创新点

建模Gaussian-Markov误差模型中的信道估计误差系数为反馈时延、多普勒扩展和信噪比的联合函数。在此基础上，构建一种基于最大化信干噪比和最大化信泄噪比准则的自适应稳健波束成形算法。

方法

首先，根据Gaussian-Markov信道估计误差模型，利用统计理论，设计一种不完全信道状态信息下基于最大化信干噪比和最大化信泄噪比准则的波束成形算法。然后，将信道估计误差模型系数建模为反馈时延、多普勒扩展和信噪比的联合函数。通过实时估计CSI时延和信道估计器引起的误差系数，实时设计匹配于信道变化的稳健波束成形器。最后，通过仿真结果验证该算法的正确性、稳健性和自适应性。

结论

仿真表明：提出的自适应稳健波束成形算法误码率性能明显优于现有的非自适应算法，并且随着导频符号数目的增加，该算法的性能会逐渐趋于理想CSI条件下的性能。

Abstract

In wideband multi-pair two-way relay networks

the performance of beamforming at a relay station (RS) is intimately related to the accuracy of the channel state information (CSI) available. The accuracy of CSI is determined by Doppler spread

delay between beamforming and channel estimation

and density of pilot symbols

including transmit power of pilot symbols. The coefficient of the Gaussian-Markov CSI error model is modeled as a function of CSI delay

Doppler spread

and signal-to-noise ratio

and can be estimated in real time. In accordance with the real-time estimated coefficients of the error model

an adaptive robust maximum signal-to-interferenceand- noise ratio (Max-SINR) plus maximum signal-to-leakage-and-noise ratio (Max-SLNR) beamformer at an RS is proposed to track the variation of the CSI error. From simulation results and analysis

it is shown that: compared to existing non-adaptive beamformers

the proposed adaptive beamformer is more robust and performs much better in the sense of bit error rate (BER); with increase in the density of transmit pilot symbols

its BER and sum-rate performances tend to those of the beamformer of Max-SINR plus Max-SLNR with ideal CSI.

关键词

Keywords

references

A Aziz , , , C Thron , , , S.G Cui , , , 等 . . Linearized robust beamforming for two-way relay systems . . IEEE Signal Process. Lett. , , 2014 . . 21 ( ( 8 ): ): 1017 - - 1021 . . DOI: 10.1109/LSP.2014.2322118 http://doi.org/10.1109/LSP.2014.2322118 . .

K.E Baddour , , , N.C Beaulieu . . Nonparametric Doppler spread estimation for flat fading channels . . 2003 . . Proc. IEEE Wireless Communications and Networking Conf . . p.953 - - 958 . . DOI: 10.1109/WCNC.2003.1200500 http://doi.org/10.1109/WCNC.2003.1200500 . .

B.K Chalise , , , L Vandendorpe . . MIMO relay design for multipoint-to-multipoint communications with imperfect channel state information . . IEEE Trans. Signal Process. , , 2009 . . 57 ( ( 7 ): ): 2785 - - 2796 . . DOI: 10.1109/TSP.2009.2018610 http://doi.org/10.1109/TSP.2009.2018610 . .

Y Chen , , , F Shu , , , J Wang , , , 等 . . High-performance beamforming and spatial channel pairing schemes at relay station for AF-based multi-pair two-way relay networks . . 2014 . . Proc. 6th Int. Conf. on Wireless Communications and Signal Processing . . p.1 - - 4 . . DOI: 10.1109/WCSP.2014.6992011 http://doi.org/10.1109/WCSP.2014.6992011 . .

T Cover , , , A.E Gamal . . Capacity theorems for the relay channel . . IEEE Trans. Inform. Theory , , 1979 . . 25 ( ( 5 ): ): 572 - - 584 . . DOI: 10.1109/TIT.1979.1056084 http://doi.org/10.1109/TIT.1979.1056084 . .

H Degenhardt , , , A Klein . . Self-interference aware MIMO filter design for non-regenerative multi-pair twoway relaying . . 2012 . . Proc. IEEE Wireless Communications and Networking Conf . . p.272 - - 276 . . DOI: 10.1109/WCNC.2012.6214264 http://doi.org/10.1109/WCNC.2012.6214264 . .

J.M Holtzman , , , A Sampath . . Adaptive averaging methodology for handoffs in cellular systems . . IEEE Trans. Veh. Technol. , , 1995 . . 44 ( ( 1 ): ): 59 - - 66 . . DOI: 10.1109/25.350270 http://doi.org/10.1109/25.350270 . .

A Ijaz , , , A.B Awoseyila , , , B.G Evans . . Low-complexity time-domain SNR estimation for OFDM systems . . Electron. Lett. , , 2011 . . 47 ( ( 20 ): ): 1154 - - 1156 . . DOI: 10.1049/el.2011.2014 http://doi.org/10.1049/el.2011.2014 . .

R Knopp . . Two-way wireless communication via a relay station . . GDR-ISIS Meeting , , 2007 . . .

G Kramer , , , M Gastpar , , , P Gupta . . Cooperative strategies and capacity theorems for relay networks . . IEEE Trans. Inform. Theory , , 2005 . . 51 ( ( 9 ): ): 3037 - - 3063 . . DOI: 10.1109/TIT.2005.853304 http://doi.org/10.1109/TIT.2005.853304 . .

J.N Laneman , , , G.W Wornell . . Distributed spacetime- coded protocols for exploiting cooperative diversity in wireless networks . . IEEE Trans. Inform. Theory , , 2003 . . 49 ( ( 10 ): ): 2415 - - 2425 . . DOI: 10.1109/TIT.2003.817829 http://doi.org/10.1109/TIT.2003.817829 . .

J.L Mao , , , J.C Gao , , , Y.A Liu , , , 等 . . Robust multiuser MIMO scheduling algorithms with imperfect CSI . . Sci. China Inform. Sci. , , 2012 . . 55 ( ( 4 ): ): 815 - - 826 . . DOI: 10.1007/s11432-011-4388-3 http://doi.org/10.1007/s11432-011-4388-3 . .

P Popovski , , , H Yomo . . Bi-directional amplification of throughput in a wireless multi-hop network . . 2006 . . Proc. IEEE 63rd Vehicular Technology Conf . . p.588 - - 593 . . DOI: 10.1109/VETECS.2006.1682892 http://doi.org/10.1109/VETECS.2006.1682892 . .

B Rankov , , , A Wittneben . . Spectral efficient protocols for half-duplex fading relay channels . . IEEE J. Sel. Areas Commun. , , 2007 . . 25 ( ( 2 ): ): 379 - - 389 . . DOI: 10.1109/JSAC.2007.070213 http://doi.org/10.1109/JSAC.2007.070213 . .

M Sadek , , , A Tarighat , , , A.H Sayed . . A leakagebased precoding scheme for downlink multi-user MIMO channels . . IEEE Trans. Wirel. Commun. , , 2007 . . 6 ( ( 5 ): ): 1711 - - 1721 . . DOI: 10.1109/TWC.2007.360373 http://doi.org/10.1109/TWC.2007.360373 . .

A Sendonaris , , , E Erkip , , , B Aazhang . . User cooperation diversity . . Part I: system description. IEEE Trans. Commun. , , 2003 . . 51 ( ( 11 ): ): 1927 - - 1938 . . DOI: 10.1109/TCOMM.2003.818096 http://doi.org/10.1109/TCOMM.2003.818096 . .

H Shen , , , J.H Wang , , , B.C Levy , , , 等 . . Robust optimization for amplify-and-forward MIMO relaying from a worst-case perspective . . IEEE Trans. Signal Process. , , 2013 . . 61 ( ( 21 ): ): 5458 - - 5471 . . DOI: 10.1109/TSP.2013.2278819 http://doi.org/10.1109/TSP.2013.2278819 . .

F Shu , , , Y Chen , , , X.H You , , , 等 . . Low-complexity optimal spatial channel pairing for AF-based multi-pair two-way relay networks . . Sci. China Inform. Sci. , , 2014a . . 57 ( ( 10 ): ): 1 - - 10 . . DOI: 10.1007/s11432-014-5102-z http://doi.org/10.1007/s11432-014-5102-z . .

F Shu , , , Y.Z Lu , , , Y Chen , , , 等 . . High-sumrate beamformers for multi-pair two-way relay networks with amplify-and-forward relaying strategy . . Sci. China Inform. Sci. , , 2014b . . 57 ( ( 2 ): ): 1 - - 11 . . DOI: 10.1007/s11432-013-4980-9 http://doi.org/10.1007/s11432-013-4980-9 . .

C Tepedelenlioglu , , , G.B Giannakis . . On velocity estimation and correlation properties of narrow-band mobile communication channels . . IEEE Trans. Veh. Technol. , , 2001 . . 50 ( ( 4 ): ): 1039 - - 1052 . . DOI: 10.1109/25.938579 http://doi.org/10.1109/25.938579 . .

C Wang , , , E.K.S Au , , , R.D Murch , , , 等 . . On the performance of the MIMO zero-forcing receiver in the presence of channel estimation error . . IEEE Trans. Wirel. Commun. , , 2007 . . 6 ( ( 3 ): ): 805 - - 810 . . DOI: 10.1109/TWC.2007.05384 http://doi.org/10.1109/TWC.2007.05384 . .

C.Y Wang , , , T.C.K Liu , , , X.D Dong . . Impact of channel estimation error on the performance of amplifyand- forward two-way relaying . . IEEE Trans. Veh. Technol. , , 2012 . . 61 ( ( 3 ): ): 1197 - - 1207 . . DOI: 10.1109/TVT.2012.2185964 http://doi.org/10.1109/TVT.2012.2185964 . .

J Wang , , , O.Y Wen , , , S.Q Li . . Soft-output MMSE MIMO detector under imperfect channel estimation . . 2008 . . Proc. IEEE Wireless Communications and Networking Conf . . p.1334 - - 1338 . . DOI: 10.1109/WCNC.2008.240 http://doi.org/10.1109/WCNC.2008.240 . .

E Yilmaz , , , R Zakhour , , , D Gesbert , , , 等 . . Multipair two-way relay channel with multiple antenna relay station . . 2010 . . Proc. IEEE Int. Conf. on Communications . . p.1 - - 5 . . DOI: 10.1109/ICC.2010.5502396 http://doi.org/10.1109/ICC.2010.5502396 . .

R Zhang , , , Y.C Liang , , , C.C Chai , , , 等 . . Optimal beamforming for two-way multi-antenna relay channel with analogue network coding . . IEEE J. Sel. Areas Commun. , , 2009 . . 27 ( ( 5 ): ): 699 - - 712 . . DOI: 10.1109/JSAC.2009.090611 http://doi.org/10.1109/JSAC.2009.090611 . .

F Zheng , , , Y Hua , , , J.C Koshy . . Joint source and relay optimization for a non-regenerative MIMO relay . . 2006 . . Proc. 4th IEEE Workshop on Sensor Array and Multichannel Processing . . p.239 - - 243 . . DOI: 10.1109/SAM.2006.1706129 http://doi.org/10.1109/SAM.2006.1706129 . .

B Zhong , , , X Zhang , , , Y Li , , , 等 . . Impact of partial relay selection on the capacity of communications systems with outdated CSI and adaptive transmission techniques . . 2013 . . Proc. IEEE Wireless Communications and Networking Cont . . p.3720 - - 3725 . . DOI: 10.1109/WCNC.2013.6555166 http://doi.org/10.1109/WCNC.2013.6555166 . .

B.L Zhou , , , L.G Jiang , , , L Zhang , , , 等 . . Impact of imperfect channel state information on TDD downlink multiuser MIMO system . . 2011 . . Proc. IEEE Wireless Communications and Networking Conf . . p.1823 - - 1828 . . DOI: 10.1109/WCNC.2011.5779410 http://doi.org/10.1109/WCNC.2011.5779410 . .

浏览量

Downloads

CSCD

文章被引用时，请邮件提醒。

Submit

工具集

关联资源

暂无数据