Abstract
A high-performance noncoherent transmission scheme is proposed in the broadcasting phase of a two-way 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.
Similar content being viewed by others
References
Cui T, Gao FF, Ho T, et al., 2009. Distributed space-time coding for two-way wireless relay networks. IEEE Trans Signal Process, 57(2):658–671. https://doi.org/10.1109/TSP.2008.2009025
Dai YY, Pan LD, Dong XD, 2014. Physical-layer network coding aided bi-directional cooperative relays for transmitted reference pulse cluster UWB systems. IEEE Int Conf on Communications, p.5825–5830. https://doi.org/10.1109/ICC.2014.6884251
Dai YY, Dong X, Dong XD, 2015. Bidirectional cooperative relay strategies for transmitted reference pulse cluster UWB systems. IEEE Trans Veh Technol, 64(10):4512–4524. https://doi.org/10.1109/TVT.2014.2367133
Dang XY, Liu ZT, Li BL, et al., 2016. Noncoherent multiple-symbol detector of binary CPFSK in physical-layer network coding. IEEE Commun Lett, 20(1):81–84. https://doi.org/10.1109/LCOMM.2015.2499249
Dong X, Dong XD, 2010. Bi-directional cooperative relays for transmitted reference pulse cluster UWB systems. IEEE Global Telecommunications Conf, p.1–5. https://doi.org/10.1109/GLOCOM.2010.5683989
Gao H, Su X, Lv T, et al., 2011. Physical-layer network coding aided two-way relay for transmitted-reference UWB networks. IEEE Global Telecommunications Conf, p.1–6. https://doi.org/10.1109/GLOCOM.2011.6133672
Guo N, Qiu RC, 2006. Improved autocorrelation demodulation receivers based on multiple-symbol detection for UWB communications. IEEE Trans Wirel Commun, 5(8):2026–2031. https://doi.org/10.1109/TWC.2006.1687716
Helmberg C, Rendl F, 1998. Solving quadratic (0,1)-problems by semidefinite programs and cutting planes. Math Program, 82(3):291–315. https://doi.org/10.1007/bf01580072
Jalden J, Martin C, Ottersten B, 2003. Semidefinite programming for detection in linear systems-optimality conditions and space-time decoding. IEEE Int Conf on Acoustics, Speech, and Signal Processing, p.9–12. https://doi.org/10.1109/ICASSP.2003.1202528
Lampe L, Schober R, Pauli V, et al., 2005. Multiple-symbol differential sphere decoding. IEEE Trans Commun, 53(12):1981–1985. https://doi.org/10.1109/TCOMM.2005.860092
Leib H, Pasupathy S, 1988. The phase of a vector perturbed by Gaussian noise and differentially coherent receivers. IEEE Trans Inform Theory, 34(6):1491–1501. https://doi.org/10.1109/18.21288
Lottici V, Tian Z, 2008. Multiple symbol differential detection for UWB communications. IEEE Trans Wirel Commun, 7(5):1656–1666. https://doi.org/10.1109/TWC.2008.060667
Lv T, Wang CF, Gao H, 2017. Factor graph aided multiple-symbol differential detection in the broadcasting phase of a network coding based UWB relay system. IEEE Trans Veh Technol, 66(6):5364–5371. https://doi.org/10.1109/TVT.2016.2623652
Ma WK, Davidson TN, Wong KM, et al., 2002. Quasi-maximum-likelihood multiuser detection using semi-definite relaxation with application to synchronous CDMA. IEEE Trans Signal Process, 50(4):912–922. https://doi.org/10.1109/78.992139
Mao ZW, Wang XM, Wang XF, 2007. Semidefinite programming relaxation approach for multiuser detection of QAM signals. IEEE Trans Wirel Commun, 6(12):4275–4279. https://doi.org/10.1109/TWC.2007.060418
Quek TQS, Win MZ, 2005. Analysis of UWB transmitted-reference communication systems in dense multipath channels. IEEE J Sel Areas Commun, 23(9):1863–1874. https://doi.org/10.1109/JSAC.2005.853809
Rankov B, Wittneben A, 2007. Spectral efficient protocols for half-duplex fading relay channels. IEEE J Sel Areas Commun, 25(2):379–389. https://doi.org/10.1109/JSAC.2007.070213
Rendi F, Vanderbei RJ, Wolkowicz H, 1995. Max-min eigenvalue problems, primal-dual interior point algorithms, and trust region subproblemst. Optim Methods Softw, 5(1):1–16. https://doi.org/10.1080/10556789508805599
Simon MK, Alouini M, 1998. A unified approach to the probability of error for noncoherent and differentially coherent modulations over generalized fading channels. IEEE Trans Commun, 46(12):1625–1638. https://doi.org/10.1109/26.737401
To D, Choi J, Kim I, 2010. Error probability analysis of bidirectional relay systems using Alamouti scheme. IEEE Commun Lett, 14(8):758–760. https://doi.org/10.1109/LCOMM.2010.08.100691
Wang CF, Lv T, Gao H, et al., 2014. Generalized likelihood ratio test multiple-symbol detection for MIMO-UWB: a semidefinite relaxation approach. IEEE Wireless Communications and Networking Conf, p.1276–1280. https://doi.org/10.1109/WCNC.2014.6952353
Wang CF, Lv T, Gao H, et al., 2016. A belief propagation-based framework for soft multiple-symbol differential detection. IEEE Trans Wirel Commun, 15(10):7128–7142. https://doi.org/10.1109/TWC.2016.2598169
Wang TT, Lv T, Gao H, et al., 2013. BER analysis of decision-feedback multiple-symbol detection in noncoherent MIMO ultrawideband systems. IEEE Trans Veh Technol, 62(9):4684–4690. https://doi.org/10.1109/TVT.2013.2266922
Win MZ, Scholtz RA, 1998. On the energy capture of ultra wide bandwidth signals in dense multipath environments. IEEE Commun Lett, 2(9):245–247. https://doi.org/10.1109/4234.718491
Win MZ, Scholtz RA, 2000. Ultra-wide bandwidth time-hopping spread-spectrum impulse radio for wireless multiple-access communications. IEEE Trans Commun, 48(4):679–689. https://doi.org/10.1109/26.843135
Zeinalpour-Yazdi Z, Nasiri-Kenari M, Aazhang B, 2010. Bit error probability analysis of UWB communications with a relay node. IEEE Trans Wirel Commun, 9(2):802–813. https://doi.org/10.1109/TWC.2010.02.090383
Zhou Q, Ma XL, 2012. Designing low-complexity near-optimal multiple-symbol detectors for impulse radio UWB systems. IEEE Trans Signal Process, 60(5):2460–2469. https://doi.org/10.1109/TSP.2012.2188714
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Chan-fei WANG, Ji-ai HE, Wei-fang WANG, and Ya-mei XU declare that they have no conflict of interest.
Additional information
Project supported by the Hongliu Excellent Youth Talent Support Program of Lanzhou University of Technology and the National Natural Science Foundation of China (Nos. 61561031 and 61562058)
Rights and permissions
About this article
Cite this article
Wang, Cf., He, Ja., Wang, Wf. et al. Semidefinite relaxation aided noncoherent detection in two-way relay transmission. Frontiers Inf Technol Electronic Eng 20, 1259–1265 (2019). https://doi.org/10.1631/FITEE.1800096
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1631/FITEE.1800096
Key words
- Multiple-symbol differential detection
- Generalized likelihood ratio test
- Semidefinite relaxation
- Two-way relay transmission