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Bit Error Rate of Generalized Triangular QAM
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 Title & Authors
Bit Error Rate of Generalized Triangular QAM
Cho, Kyongkuk;
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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 -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.
Modulation;Probability;Bit Error Rate;Signal Constellation;Gray Coding;
 Cited by
ETSI TS, 3GPP TS 36.211 v9.1.0 (2009-09): "Physical Channels and Modulation (Release 9)"

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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. crossref(new window)

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. crossref(new window)

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. crossref(new window)

K. Cho, J. Lee, and D. Yoon, "Performance analysis of generalized triangular QAM," J. KICS, vol. 35, no. 11, pp. 654-659, Jul. 2010.

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. crossref(new window)

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. crossref(new window)

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. crossref(new window)

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.