Abstract
Orthogonal Frequency Division Multiplexing (OFDM) is still an attractive technique that achieves the higher data rate and helps even in spectrum sensing. However OFDM suffers from high Peak-to-Average Power Ratio (PAPR). This has an impact on the autonomy of terminals; thus it is mandatory to handle the PAPR problem. In this technical paper we introduce the impact of two linear codes over Z4 on PAPR. In addition, we propose a new genetic algorithm (GA) based decoding to improve the quality of transmission in terms of Bit Error Rate (BER). It is concluded that, while the results confirm an important gain in terms of PAPR and BER when using channel coding, the GA based code outperforms the biased BCH (15, 7).
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References
Eason, G., Noble, B., Sneddon, I.N.: On certain integrals of Lipschitz-Hankel type involving products of Bessel functions. Phil. Trans. Roy. Soc. London A247, 529–551 (1955)
Kim, H.J., et al.: Adaptive clipping technique for reducing PAPR on OFDM systems. In: IEEE 58th Vehicular Technology Conference, pp. 1478–1481 (2003)
Armstrong, J.: Peak-to-average reduction for OFDM by repeated clipping and frequency domain filtering. Electron. Lett. 38(5), 246–247 (2002)
Fischer, R.F.H., Siegel, C.: Reed-Solomon and simplex codes for peak-to-average power ratio reduction in OFDM. IEEE Trans. Info. Theory 55(4), 1519–1528 (2009)
Sakran, H.Y., et al.: Combined interleaving and companding for PAPR reduction in OFDM systems. Prog. Electromagn. Res. C 6, 67–78 (2009)
Wilkinson, T.A., Jones, A.E.: Performance of Reed-Muller Codes with OFDM and a MaxiDluDl Likelihood Decoding Algorithm. Appliance Communications Solutions Department, HP Laboratories, Bristol (1998)
Mruthyunjaya, H.S., Singh, S., Kumar, M.S.: A performance comparison of Golay and Reed-Muller coded of OFDM signal for peak-to-average power ratio reduction. In: Int. J. Electron. Commun. Comput. Eng. (2009)
Tasadduq, I.A., Raveendra K.R.: Weighted OFDM with block codes for wireless communication. In: IEEE Pacific Rim Conference on Communications, Victoria BC, Canada, pp. 441–444, 26–28 Aug (2001)
Koudougnon, H., et al.: PAPR reduction using block coding combined with companding. In: IEEE 5th International Symposium On I/V Communications and Mobile Network, Rabat, Morroco (2010)
Shakeel, I., Grant, A.: Joint error correction and PAPR reduction of OFDM signals. In: IEEE Information Theory Workshop, Punta del Este, pp. 611–615 (2006)
Hammons, R., Kumar, P.V., Calderbank, R.R., Sloane, N.J.A., Solé, P.: The Z4-linearity of Kerdock, Preparata, Goethals, and related codes. IEEE Trans. Inf. Theory 40(2), 301–319 (1994)
Nechaev, A.A.: Kerdock codes in a cyclic form. Discrete Math. Appl. 1(4), 365–384 (1991)
Bonnecaze, A., Solé, P., Calderbank, A.R.: Quaternary quadratic residue codes and unimodular lattices. IEEE Trans. Inform. Theory 41(2), 366–377 (1995)
Calderbank, A.R., McGuire, G., Kumar, P.V., Helleseth, T.: Cyclic codes over Z4, locator polynomials and Newton’s identities. IEEE Trans. Inf. Theory 42(1), 217–226 (1996)
Pless, V.S., Qian, Z.: Cyclic codes and quadratic residue codes over Z4. IEEE Trans. Inf. Theory 42(5), 1594–1600 (1996)
Carlet, C.: Z2 k-Linear codes. IEEE Trans. Inf. Theory 44(4), 1543–1547 (1998)
Chase, D.: A class of algorithms for decoding block codes with channel measurement information. In: IEEE Transactions on Information Theory. IT-18 (1972)
Benkhouya, R. Chana, I., Hadi, Y.: Evaluation of the polar coded OFDM system. In: WINCOM (2017)
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Benkhouya, R., Chana, I., Hadi, Y. (2019). Improvement of PAPR and BER in OFDM Using Codes Over the Ring of Integers Modulo 4. In: Ben Ahmed, M., Boudhir, A., Younes, A. (eds) Innovations in Smart Cities Applications Edition 2. SCA 2018. Lecture Notes in Intelligent Transportation and Infrastructure. Springer, Cham. https://doi.org/10.1007/978-3-030-11196-0_70
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DOI: https://doi.org/10.1007/978-3-030-11196-0_70
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