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http://dx.doi.org/10.6109/jkiice.2016.20.11.2021

Performance of a 3-Dimensional Signal Transmission System  

Kwon, Hyeock Chan (Department of Semiconductor Engineering, Gyeongsang National University)
Kang, Seog Geun (Department of Semiconductor Engineering, Gyeongsang National University)
Publication Information
Journal of the Korea Institute of Information and Communication Engineering / v.20, no.11, 2016 , pp. 2021-2026 More about this Journal
Abstract
In this paper, a system model for transmission of 3-dimensional (3-D) signals is presented and its performance is analyzed. Unlike 2-D signals, no quadrature form expression for the 3-D signals is available. Exploiting a set of orthogonal basis functions, the 3-D signals are transmitted. As a result of computer simulation using very higher-level signal constellations, the 3-D transmission system has significantly improved error performance as compared with the 2-D system. It is considered that the principal reason for such performance improvement is much increased minimum Euclidean distance (MED) of the 3-D lattice constellations compared with the corresponding 2-D ones. When the MEDs of 2-D and 3-D lattice constellation are compared to confirm the analysis, the MED of 3-D 1024-ary constellation is around 2.6 times larger than that of the quadrature amplitude modulation (QAM). Expanding the constellation size to 4096, the MED of 3-D lattice constellation is increased by 3.2 times of the QAM.
Keywords
Digital communications; Signal constellation; Lattice constellation; Quadrature amplitude modulation (QAM); Minimum Euclidean distance (MED);
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  • Reference
1 L. F. Wei, "Trellis-coded modulation with multidimensional constellation," IEEE Trans. Inform. Theory, vol. 33, no. 4, pp. 483-501, July 1987.   DOI
2 J. E. Porath and T. Aulin, "Design of multidimensional signal constellations," IEE Proc.-Commun., vol. 150, no. 5, pp. 317-323, Oct. 2003.
3 S. G. Kang, Z. Chen, J. Y. Kim, J. S. Bae, and J. S. Lim, "Construction of higher-level 3-D signal constellations and their accurate symbol error probabilities in AWGN," IEEE Trans. Signal Process., vol. 59, no. 12, pp. 6267-6273, Dec. 2011.   DOI
4 Z. Chen and S. G. Kang, "Three-dimensional modulation formats with constant power for optical communications," Opt. Express, vol. 19, no. 23, pp. 22358-22363, Nov. 2011.   DOI
5 T. Koike Akino, D. S. Millar, K. Kojima, and K. Parsons, "Eight-dimensional modulation for coherent optical communications," Proc. ECOC, London, UK, Tu.3.C., pp. 1-3, Sep. 2013.
6 D. S. Millar, T. Koike Akino, S. O. Arik, K. Kojima, K. Parsons, T. Yoshida, and T. Sugihara, "High-dimensional modulation for coherent optical communication systems," Opt. Express, vol. 22, no. 7, pp. 8798-8812, Apr. 2014.   DOI
7 H. G. Batshon, I. Djordjevic, L. Xu, and T. Wang, "Multidimensional LDPC-coded modulation for beyond 400 Gb/s wavelength transmission," IEEE Photon. Technol. Lett., vol. 21, no. 16, pp. 1139-1141, Aug. 2008.
8 Z. Chen, E. C. Choi, and S. G. Kang, "Closed-form expressions for the symbol error probability of 3-D OFDM," IEEE Commun. Lett., vol. 14, no. 2, pp. 112-114, Feb. 2010.   DOI
9 G. Stepniak, "Comparison of efficiency of N-dimensional CAP modulations," J. Lightwave Technol., vol. 32, no. 14, pp. 2516-2523, July 2014.   DOI
10 J. G. Proakis and M. Salehi, Digital Communications, 5th ed., McGraw-Hill, Singapore, 2008.