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http://dx.doi.org/10.7840/kics.2014.39A.5.229

Bit Error Rate of Generalized Triangular QAM  

Cho, Kyongkuk (Agency for Defense Development (ADD))
Publication Information
The Journal of Korean Institute of Communications and Information Sciences / v.39A, no.5, 2014 , pp. 229-236 More about this Journal
Abstract
Quadrature Amplitude Modulation (QAM) is widely used in contemporary wired and wireless communications systems. In this paper, I propose a generalized triangular quadrature amplitude modulation (gTQAM) that includes the square quadrature amplitude modulation (SQAM), TQAM, and ${\Theta}$-QAM as special cases. Therefore, the proposed gTQAM forming a lattice of arbitrary triangles provides a versatile structure in signal constellations compared to other QAM schemes. For M-ary gTQAM, I derive an exact closed-form expression for the bit error rate (BER), and present the optimal signal constellations for given SNR values from the derived BER expression. Finally, I validate the derived BER results through computer simulations.
Keywords
Modulation; Probability; Bit Error Rate; Signal Constellation; Gray Coding;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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1 J. Lee, D. Yoon, K. Cho, "Error Performance analysis of M-ary $\theta$-QAM," IEEE Trans. Veh. Technol., vol. 61, no.3, pp. 1423-1427, Mar. 2012.   DOI   ScienceOn
2 K. Cho and D. Yoon, "On the general BER expression of one-and two-dimensional amplitude modulations," IEEE Trans. Commun., vol. 50, no. 7, pp. 1074-1080, Jul. 2002.   DOI   ScienceOn
3 M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series: U.S. Department of Commerce, 1982.
4 I. Kang, Y. Kim, J. Seo, H. Kim, and H. Kim, "Performance analysis of a bit mapper of the dual-polarized MIMO DVB-T2 system," J. KICS, vol. 38, no. 9, pp. 817-825, Sept. 2012.   과학기술학회마을   DOI   ScienceOn
5 K. N. Pappi, A. S. Lioumpas, and G. K. Karagiannidis, "$\theta$-QAM: A parametric quadrature amplitude modulation family and its performance in AWGN and fading channels," IEEE Trans. Commun., vol. 58, no. 4, pp. 1014-1019, Apr. 2010.   DOI   ScienceOn
6 S. Lee, J. Kim, J. Lee, S. Yun, and J. Ahn. "Transmission performance analysis for terrestrial digital broadcast systems according to Hierarchical Modulation Factor($\alpha$ )," J. KICS, vol. 37, no. 9, pp. 728-737, Sept. 2012.   과학기술학회마을   DOI   ScienceOn
7 K. Cho, J. Lee, and D. Yoon, "Performance analysis of generalized triangular QAM," J. KICS, vol. 35, no. 11, pp. 654-659, Jul. 2010.   과학기술학회마을
8 ETSI TS, 3GPP TS 36.211 v9.1.0 (2009-09): "Physical Channels and Modulation (Release 9)"
9 M. Zhang and S. Kim, "Performance enhancement by scaling soft bit information of APSK," J. KICS, vol. 38, no. 10, pp. 858-866, Oct. 2013.   과학기술학회마을   DOI   ScienceOn
10 J. Lee, D. Yoon, and K. Hyun, "Exact and general expression for the error probability of arbitrary two-dimensional signaling with I/Q amplitude and phase unbalances," IEICE Trans. Commun., vol. E89-B, no. 12, pp. 3356-3362, Dec. 2006.   DOI