Abstract
Nonlinear companding transform is a promising technique for the peak-to-average power ratio (PAPR) reduction in multicarrier transmission systems. However, conventional hard piecewise companding schemes often along with serious nonlinear distortion or complex companding parameters optimization embarrassment. In this paper, a novel designing criterion of nonlinear companding functions with more effective system performance is proposed. By transforming the Gaussian-distributed multicarrier signals into desirable statistics forms, we show that the smooth and differentiable concave probability distribution function of companded signals can obtain a better PAPR reduction and less out-of-band radiation as well as more simple companding parameters optimization than the traditional piecewise companding schemes. A detailed theoretical analysis and discussion is formulated, and then based on the analysis results, a novel trigonometric function companding scheme is presented and evaluated. Numerical results demonstrate that the companding schemes which consistent with the proposed criterion may significantly outperform conventional schemes by choosing the companding form and parameters appropriately.
Similar content being viewed by others
Notes
We remark that a bad function with more degrees of freedom can lose to a good function with fewer degrees of freedom.
References
Jiang, T., & Wu, Y. (2008). An overview: Peak-to-average power ratio reduction techniques for OFDM signals. IEEE Transactions on Broadcasting, 54(2), 257–268.
Han, S. H., & Lee, J. H. (2005). An overview of peak-to-average power ratio reduction techniques for multicarrier transmission. IEEE Wireless Communications, 12(2), 56–65.
Wang, L., & Tellambura, C. (2009). A simplified clipping and filtering technique for PAR reduction in OFDM signals. IEEE Signal Processing Letters, 57(7), 2160–2166.
Sharif, M., Tarokh, V., & Hassibi, B. (2003). Peak power reduction of OFDM signals with sign adjustment. IEEE Transactions on Communications, 49(3), 258–268.
Ghassemi, A., & Gulliver, T. A. (2008). A low-complexity PTS-based radix FFT method for PAPR reduction in OFDM systems. IEEE Transactions on Signal Processing, 56(3), 1161–1166.
Saita, M., Okuda, A., Okada, M., et al. (2006). Peak-to-average power ratio reduction of multi-carrier CDMA signals with interleaver-based selected mapping. European Transactions on Telecommunications, 17, 695–701.
Rahmatallah, Y., Bouaynaya, N., & Mohan, S. (2013). Bit error rate performance of companding transform for OFDM. IEEE Transactions on Vehicular Technology, 62(8), 4116–4120.
Wang, X. B., Tjhung, T. T., & Ng, C. S. (1999). Reduction of peak-to-average power ratio of OFDM system using a companding technique. IEEE Transactions on Broadcasting, 45(3), 303–307.
Huang, X., Lu, J., Zheng, J., et al. (2001). Reduction of peak-to-average power ratio of OFDM signals with companding transform. Electronics Letters, 37, 506–507.
Pratt, T. G., Joned, N., Smee, L., et al. (2006). OFDM link performance with companding for PAPR reduction in the presence of nonlinear amplification. IEEE Transactions on Broadcasting, 52(2), 261–267.
Aburakhia, S. A., Badran, E. F., & Mohamed, D. A. E. (2009). Linear companding transform for the reduction of peak-to-average power ratio of OFDM signals. IEEE Transactions on Broadcasting, 55(1), 155–160.
Yang, G., Zhou, Y., & Qian, S. (2007). Using hyperbolic tangent sigmoid transfer function for companding transform in OFDM system. In Proceedingh of International Symposium on Communication and Information Theory, China, 7, 87–90.
Hao, M. J., Liaw, C. P. (2006). A companding technique for PAPR reduction of OFDM systems. In Proceeding of intelligent signal processing and communication systems, pp. 634–637.
Ren, G., Zhang, H., Chang, Y., et al. (2006). A self companding transform to reduce peak-to-average power ratio in OFDM based WLANs. Proceeding of International Conference on Circuit and Signal Processing, 2, 1142–1146.
Gazi, O. (2001). A new compandig technique for PAPR reduction in OFDM communication systems. Proceeding of International Congress on Ultra Modern Telecommunications, 3, 1–5.
Yong, W., Wang, L. H., Ge, J. H., et al. (2012). Nonlinear companding transform technique for reducing PAPR of OFDM signals. IEEE Transactions on Consumer Electronics, 58(3), 752–757.
Jiang, Y. (2010). New companding transform for PAPR reduction in OFDM. IEEE Communications Letters, 14(3), 282–284.
Huang, X., Lu, J., Zheng, J., et al. (2004). Companding transform for reduction in peak-to average power ratio of OFDM signals. IEEE Transactions on Wireless Communications, 3(6), 2030–2039.
Jiang, T., Yang, Y., & Song, Y. H. (2005). Exponential companding technique for PAPR reduction in OFDM systems. IEEE Transactions on Broadcasting, 51(2), 244–2485.
Kumar, N. S. L. P., Banerjee, A., & Sircar, P. (2007). Modified eponential companding for PAPR reduction of OFDM signals. Proceeding of IEEE Wireless Communications and Networking Conference, 6, 1345–1350.
Jiang, T., & Zhu, G. (2004). Nonlinear companding transform for reduction peak-to-average ratio of OFDM signal. IEEE Transactions on Broadcastinging, 50(3), 342–346.
Jiang, T., Richardson, W. X. P. C., et al. (2007). On the nonlinear companding transform for reduction in PAPR of MCM signals. IEEE Transactions on Wireless Communications, 6(6), 2017–2021.
Jiang, T., Yao, W., Guo, P., et al. (2006). Two novel nonlinear companding schemes with interative receiver to reduce PAPR in multi-carrier modulation systems. IEEE Transactions on Broadcasting, 52(2), 268–272.
Hou, J., Ge, J., Zhai, D., et al. (2010). Peak-to-average power ratio reduction of OFDM signals with nonlinear companding scheme. IEEE Transactions on Broadcasting, 56(2), 258–262.
Wang, Y., Wang, L. H., Ge, J. H., et al. (2012). An efficient nonlinear companding transform for reducing PAPR of OFDM signals. IEEE Transactions on Broadcasting, 58(4), 677–684.
Wang, Y., Wang, L. H., Ge, J. H., et al. (2013). Nonlinear companding transform for reduction of peak-to-average power ratio in OFDM systems. IEEE Transactions on Broadcasting, 59(2), 369–375.
Peng, S., Shen, Y., Yuan, Z., et al. (2013). PAPR reduction of LOFDM signals with an efficient nonlinear companding transform. Proceeding of IEEE International Conference on Wireless Communications and Signal Processing, 6, 1–6.
Hou, J., Ge, J. H., & Li, J. (2009). Trapezoidal companding scheme for peak-to-average power ratio reduction of OFDM signals. Electronics Letters, 45(25), 1349–1351.
Jeng, S. S., & Chen, J. M. (2011). Efficient PAPR reduction in OFDM systems based on a companding technique with trapezium distribution. IEEE Transactions on Broadcasting, 75(2), 291–298.
Peng, S., Shen, Y., & Yuan, Z. (2014). PAPR reduction of multi-carrier systems with simple nonlinear companding transform. Electonics Letters, 50(6), 473–475.
DelMarco, S. D. (2014). General closed-form family of companders for PAPR reduction in OFDM signals using amplitude distribution modification. IEEE Transactions on Broadcasting, 60(1), 102–109.
Behravan, A., & Eriksson, T. (2009). Tone reservation to reduce the envelope fluctuations of multicarrier signals. IEEE Transactions on Wireless Communications, 8(5), 2417–2423.
Tellado, J. (1999). Peak-to-average power ratio reduction for multicarrier modulation. PhD Thsis: University of Stanford, Stanford.
Krongold, B. S., & Jonee, D. L. (2003). PAR reduction in OFDM via active constellation extension. IEEE Transactions on Broadcasting, 49(3), 258–268.
Kou, Y. J., Lu, W. S., & Antoniou, A. (2007). A new peak-to-average-ratio reduction algorithm for OFDM systems via constellation extension. IEEE Transactions on Wireless Communications, 6(5), 1823–1832.
Peng, S., Shen, Y., Yuan, Z., Jian, W., & Miao, Y. (2014). A novel nonlinear companding transform for PAPR reduction in Lattice-OFDM System. Frequenz, 68(9), 461–469.
Costa, E., Midrio, M., & Pupolin, S. (1999). Impact of amplifier nonlinearities on OFDM transmission system performance. IEEE Communications Letters, 3(2), 37–39.
Jiang, T., Li, C., & Ni, C. (2013). Effect of PAPR reduction on spectrum and energy efficiencies in OFDM sysetms with class-A HPA over AWGN channel. IEEE Transactions on Broadcasting, 59(3), 513–519.
Peng, S., Yuan, Z., Jun, Y., et al. (2015). A simplified scheme of estimation and cancellation of caompanding noise for companded multicarrier transmission systems. Radioengineering, 24(1), 122–129.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Peng, S., Yuan, Z. A novel criterion for designing of nonlinear companding functions for peak-to-average power ratio reduction in multicarrier transmission systems. Wireless Netw 24, 581–595 (2018). https://doi.org/10.1007/s11276-016-1356-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11276-016-1356-2