Semidefinite relaxation aided noncoherent detection in two-way relay transmission

Chan-fei WANG; Ji-ai HE; Wei-fang WANG; Ya-mei XU

doi:10.1631/FITEE.1800096

Your Location：

Home >

Browse articles >

Semidefinite relaxation aided noncoherent detection in two-way relay transmission

Regular Papers | Updated：2022-05-19

- Semidefinite relaxation aided noncoherent detection in two-way relay transmission
- 双向中继传输中基于半定松弛的非相干检测
- Frontiers of Information Technology & Electronic Engineering Vol. 20, Issue 9, Pages: 1259-1265(2019)
- Affiliations：
  
  School of Computer and Communication, Lanzhou University of Technology, Lanzhou 730050, China
- Author bio：
  
  Chan-fei WANG, E-mail: wangchanfei@bupt.edu.cn
  [ "Ji-ai HE, E-mail:hejiai@lut.cn" ]
  [ "Wei-fang WANG, E-mail:wwf88@126.com" ]
  [ "Ya-mei XU, E-mail:yameixu@126.com" ]
- Funds：
- DOI：10.1631/FITEE.1800096
  CLC： TP391.4
- Received：07 February 2018，
  
  Revised：2019-;9-;4，
  
  Published：2019-09
- Accepted：
Scan QR Code
Chan-fei WANG, Ji-ai HE, Wei-fang WANG, et al. Semidefinite relaxation aided noncoherent detection in two-way relay transmission[J]. Frontiers of Information Technology & Electronic Engineering, 2019, 20(9): 1259-1265.
DOI：

Chan-fei WANG, Ji-ai HE, Wei-fang WANG, et al. Semidefinite relaxation aided noncoherent detection in two-way relay transmission[J]. Frontiers of Information Technology & Electronic Engineering, 2019, 20(9): 1259-1265. DOI： 10.1631/FITEE.1800096.

摘要

提出一种双向中继传输广播阶段高性能非相干传输方案，即不需要信道估计的多符号差分检测算法。在下行阶段首次引入基于广义似然比检验的多符号差分检测（GLRT-MSDD）。进一步转换GLRT-MSDD，得到基于半定松弛的多符号差分检测（SDR-MSDD），此转化过程降低了算法实现的复杂度。性能分析和仿真结果表明，在双向中继传输中，所提SDR-MSDD方法以合理复杂度得到接近于GLRT-MSDD方法的误码性能。

Abstract

A high-performance noncoherent transmission scheme is proposed in the broadcasting phase of a twoway relay transmission (TWRT)

where multiple-symbol differential detection (MSDD) is performed because of its excellent detection performance with no channel estimation. Specifically

the generalized likelihood ratio test aided MSDD (GLRT-MSDD) is developed for the down-link. Furthermore

GLRT-MSDD is reformulated and a semidefinite relaxation aided MSDD (SDR-MSDD) is proposed. The reformulation of GLRT-MSDD to SDR-MSDD is desirable owing to its reduced complexity. Performance analysis and the simulations validate that the proposed SDR-MSDD provides the bit-error-rate performance close to that of GLRT-MSDD with reasonable complexity in TWRT.

关键词

Keywords

references

T Cui , , , FF Gao , , , T Ho , , , 等 . . Distributed space-time coding for two-way wireless relay networks . . IEEE Trans Signal Process , , 2009 . . 57 ( ( 2 ): ): 658 - - 671 . . DOI: 10.1109/TSP.2008.2009025 http://doi.org/10.1109/TSP.2008.2009025 . .

YY Dai , , , LD Pan , , , XD Dong . . Physical-layer network coding aided bi-directional cooperative relays for transmitted reference pulse cluster UWB systems . . IEEE Int Conf on Communications , , 2014 . . p.5825 - - 5830 . . DOI: 10.1109/ICC.2014.6884251 http://doi.org/10.1109/ICC.2014.6884251 . .

YY Dai , , , X Dong , , , XD Dong . . Bidirectional cooperative relay strategies for transmitted reference pulse cluster UWB systems . . IEEE Trans Veh Technol , , 2015 . . 64 ( ( 10 ): ): 4512 - - 4524 . . DOI: 10.1109/TVT.2014.2367133 http://doi.org/10.1109/TVT.2014.2367133 . .

XY Dang , , , ZT Liu , , , BL Li , , , 等 . . Noncoherent multiple-symbol detector of binary CPFSK in physical-layer network coding . . IEEE Commun Lett , , 2016 . . 20 ( ( 1 ): ): 81 - - 84 . . DOI: 10.1109/LCOMM.2015.2499249 http://doi.org/10.1109/LCOMM.2015.2499249 . .

X Dong , , , XD Dong . . Bi-directional cooperative relays for transmitted reference pulse cluster UWB systems . . IEEE Global Telecommunications Conf , , 2010 . . p.1 - - 5 . . DOI: 10.1109/GLOCOM.2010.5683989 http://doi.org/10.1109/GLOCOM.2010.5683989 . .

H Gao , , , X Su , , , T Lv , , , 等 . . Physical-layer network coding aided two-way relay for transmitted-reference UWB networks . . IEEE Global Telecommunications Conf , , 2011 . . p.1 - - 6 . . DOI: 10.1109/GLOCOM.2011.6133672 http://doi.org/10.1109/GLOCOM.2011.6133672 . .

N Guo , , , RC Qiu . . Improved autocorrelation demodulation receivers based on multiple-symbol detection for UWB communications . . IEEE Trans Wirel Commun , , 2006 . . 5 ( ( 8 ): ): 2026 - - 2031 . . DOI: 10.1109/TWC.2006.1687716 http://doi.org/10.1109/TWC.2006.1687716 . .

C Helmberg , , , F Rendl . . Solving quadratic (0, 1)-problems by semidefinite programs and cutting planes . . Math Program , , 1998 . . 82 ( ( 3 ): ): 291 - - 315 . . DOI: 10.1007/bf01580072 http://doi.org/10.1007/bf01580072 . .

J Jalden , , , C Martin , , , B Ottersten . . Semidefinite programming for detection in linear systems-optimality conditions and space-time decoding . . IEEE Int Conf on Acoustics, Speech, and Signal Processing , , 2003 . . p.9 - - 12 . . DOI: 10.1109/ICASSP.2003.1202528 http://doi.org/10.1109/ICASSP.2003.1202528 . .

L Lampe , , , R Schober , , , V Pauli , , , 等 . . Multiple-symbol differential sphere decoding . . IEEE Trans Commun , , 2005 . . 53 ( ( 12 ): ): 1981 - - 1985 . . DOI: 10.1109/TCOMM.2005.860092 http://doi.org/10.1109/TCOMM.2005.860092 . .

H Leib , , , S Pasupathy . . The phase of a vector perturbed by Gaussian noise and differentially coherent receivers . . IEEE Trans Inform Theory , , 1988 . . 34 ( ( 6 ): ): 1491 - - 1501 . . DOI: 10.1109/18.21288 http://doi.org/10.1109/18.21288 . .

V Lottici , , , Z Tian . . Multiple symbol differential detection for UWB communications . . IEEE Trans Wirel Commun , , 2008 . . 7 ( ( 5 ): ): 1656 - - 1666 . . DOI: 10.1109/TWC.2008.060667 http://doi.org/10.1109/TWC.2008.060667 . .

T Lv , , , CF Wang , , , H Gao . . Factor graph aided multiple-symbol differential detection in the broadcasting phase of a network coding based UWB relay system . . IEEE Trans Veh Technol , , 2017 . . 66 ( ( 6 ): ): 5364 - - 5371 . . DOI: 10.1109/TVT.2016.2623652 http://doi.org/10.1109/TVT.2016.2623652 . .

WK Ma , , , TN Davidson , , , KM Wong , , , 等 . . Quasi-maximum-likelihood multiuser detection using semi-definite relaxation with application to synchronous CDMA . . IEEE Trans Signal Process , , 2002 . . 50 ( ( 4 ): ): 912 - - 922 . . DOI: 10.1109/78.992139 http://doi.org/10.1109/78.992139 . .

ZW Mao , , , XM Wang , , , XF Wang . . Semidefinite programming relaxation approach for multiuser detection of QAM signals . . IEEE Trans Wirel Commun , , 2007 . . 6 ( ( 12 ): ): 4275 - - 4279 . . DOI: 10.1109/TWC.2007.060418 http://doi.org/10.1109/TWC.2007.060418 . .

TQS Quek , , , MZ Win . . Analysis of UWB transmitted-reference communication systems in dense multipath channels . . IEEE J Sel Areas Commun , , 2005 . . 23 ( ( 9 ): ): 1863 - - 1874 . . DOI: 10.1109/JSAC.2005.853809 http://doi.org/10.1109/JSAC.2005.853809 . .

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 . .

F Rendi , , , RJ Vanderbei , , , H Wolkowicz . . Max-min eigenvalue problems, primal-dual interior point algorithms, and trust region subproblemst . . Optim Methods Softw , , 1995 . . 5 ( ( 1 ): ): 1 - - 16 . . DOI: 10.1080/10556789508805599 http://doi.org/10.1080/10556789508805599 . .

MK Simon , , , M Alouini . . A unified approach to the probability of error for noncoherent and differentially coherent modulations over generalized fading channels . . IEEE Trans Commun , , 1998 . . 46 ( ( 12 ): ): 1625 - - 1638 . . DOI: 10.1109/26.737401 http://doi.org/10.1109/26.737401 . .

D To , , , J Choi , , , I Kim . . Error probability analysis of bidirectional relay systems using Alamouti scheme . . IEEE Commun Lett , , 2010 . . 14 ( ( 8 ): ): 758 - - 760 . . DOI: 10.1109/LCOMM.2010.08.100691 http://doi.org/10.1109/LCOMM.2010.08.100691 . .

CF Wang , , , T Lv , , , H Gao , , , 等 . . Generalized likelihood ratio test multiple-symbol detection for MIMO-UWB: a semidefinite relaxation approach . . IEEE Wireless Communications and Networking Conf , , 2014 . . p.1276 - - 1280 . . DOI: 10.1109/WCNC.2014.6952353 http://doi.org/10.1109/WCNC.2014.6952353 . .

CF Wang , , , T Lv , , , H Gao , , , 等 . . A belief propagation-based framework for soft multiple-symbol differential detection . . IEEE Trans Wirel Commun , , 2016 . . 15 ( ( 10 ): ): 7128 - - 7142 . . DOI: 10.1109/TWC.2016.2598169 http://doi.org/10.1109/TWC.2016.2598169 . .

TT Wang , , , T Lv , , , H Gao , , , 等 . . BER analysis of decision-feedback multiple-symbol detection in noncoherent MIMO ultrawideband systems . . IEEE Trans Veh Technol , , 2013 . . 62 ( ( 9 ): ): 4684 - - 4690 . . DOI: 10.1109/TVT.2013.2266922 http://doi.org/10.1109/TVT.2013.2266922 . .

MZ Win , , , RA Scholtz . . On the energy capture of ultra wide bandwidth signals in dense multipath environments . . IEEE Commun Lett , , 1998 . . 2 ( ( 9 ): ): 245 - - 247 . . DOI: 10.1109/4234.718491 http://doi.org/10.1109/4234.718491 . .

MZ Win , , , RA Scholtz . . Ultra-wide bandwidth time-hopping spread-spectrum impulse radio for wireless multiple-access communications . . IEEE Trans Commun , , 2000 . . 48 ( ( 4 ): ): 679 - - 689 . . DOI: 10.1109/26.843135 http://doi.org/10.1109/26.843135 . .

Z Zeinalpour-Yazdi , , , M Nasiri-Kenari , , , B Aazhang . . Bit error probability analysis of UWB communications with a relay node . . IEEE Trans Wirel Commun , , 2010 . . 9 ( ( 2 ): ): 802 - - 813 . . DOI: 10.1109/TWC.2010.02.090383 http://doi.org/10.1109/TWC.2010.02.090383 . .

Q Zhou , , , XL Ma . . Designing low-complexity near-optimal multiple-symbol detectors for impulse radio UWB systems . . IEEE Trans Signal Process , , 2012 . . 60 ( ( 5 ): ): 2460 - - 2469 . . DOI: 10.1109/TSP.2012.2188714 http://doi.org/10.1109/TSP.2012.2188714 . .

Views

Downloads

CSCD

Alert me when the article has been cited

Submit

Tools

Publicity Resources

Optimization of a robust collaborative-relay beamforming design for simultaneous wireless information and power transfer

Related Author

Lu-lu ZHAO

Xing-long JIANG

Li-min LI

Guo-qiang ZENG

Hui-jie LIU

Related Institution

Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences

Shanghai Engineering Center for Microsatellites

College of Mathematics, Physics and Electronic Information Engineering, Wenzhou University

Chat

Address：Zhejiang University Press, 148 Tianmushan Road, Hangzhou, China Postal code：310028
Tel：+86-571-88273162 Email：fitee@zju.edu.cn
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰