A Novel Alternating μ-Law Companding Algorithm for PAPR Reduction in OFDM Systems

A Novel Alternating μ-Law Companding Algorithm for PAPR Reduction in OFDM Systems Yung-Ping Tu Department of Electronic Engineering, National Formosa University, Yunlin 632301, Taiwan http://orcid.org/0000-0002-4377-5565 Zi-Teng Zhan Department of Electronic Engineering, National Formosa University, Yunlin 632301, Taiwan Yung-Fa Huang Department of Information and Communication Engineering, Chaoyang University of Technology, Taichung 413310, Taiwan http://orcid.org/0000-0003-3337-3551

Orthogonal frequency division multiplexing (OFDM) inherits multi-carrier systems’ inevitable high peak-to-average power ratio (PAPR) problem. In this paper, a novel alternating companding technique is proposed to combat the harassment of high PAPR. The sequential μ-law companding (SULC) and a tone with a lower PAPR result in only partial tones needing companding. The SULC scheme’s PAPR and bit error rate (BER) performance has been balanced and improved. However, the computational complexity is still too high to be implemented. Therefore, this study sorted the transmission signals according to their amplitudes. Then, all the tones are divided into two groups by estimating the rough companding amount (around 54% of the subcarriers), using traditional parallel companding for the first group and the other group only by partial μ-law companding. This alternating μ-law companding (AULC) is proposed to improve the PAPR performance and simultaneously reduce complexity. Simulation results show that the proposed AULC method appreciably reduces the PAPR by about 5 dB (around 45%) compared with the original μ-law at complementary cumulative distribution function (CCDF) equal to 10−4. Moreover, it only requires a moderate complexity to outperform the other companding schemes without sacrificing the BER performance in the OFDM systems.
02 08 2024 694 electronics13040694 National Science and Technology Council (NSTC), Taiwan http://dx.doi.org/10.13039/ NSTC 112-2221-E-324-010 https://creativecommons.org/licenses/by/4.0/ 10.3390/electronics13040694 https://www.mdpi.com/2079-9292/13/4/694 https://www.mdpi.com/2079-9292/13/4/694/pdf Hassebo Global Models of Smart Cities and Potential IoT Applications: A Review IoT 2023 10.3390/iot4030017 4 366 10.3390/su152115656 Ghashim, I.A., and Arshad, M. (2023). Internet of Things (IoT)-Based Teaching and Learning: Modern Trends and Open Challenges. Sustainability, 15. Gubbi Internet of Things (IoT): A vision, architectural elements, and future directions Future Gener. Comput. Syst. 2013 10.1016/j.future.2013.01.010 29 1645 Wang From IoT to 5G I-IoT: The next generation IoT-based intelligent algorithms and 5G technologies IEEE Commun. Mag. 2018 10.1109/MCOM.2018.1701310 56 114 Shafique Internet of things (IoT) for next-generation smart systems: A review of current challenges, future trends and prospects for emerging 5G-IoT scenarios Ieee Access 2020 10.1109/ACCESS.2020.2970118 8 23022 10.1002/9780470825631 Cho, Y.S., Kim, J., Yang, W.Y., and Kang, C.G. (2010). MIMO-OFDM Wireless Communications with MATLAB, John Wiley & Sons. Nee, R.V., and Prasad, R. (2000). OFDM for Wireless Multimedia Communications, Artech House, Inc. 10.1007/978-981-15-9407-6 Wen, M., Li, Q., and Cheng, X. (2021). Index Modulation for OFDM Communications Systems, Springer. Harkat A survey on MIMO-OFDM systems: Review of recent trends Signals 2022 10.3390/signals3020023 3 359 Rawat An overview of MIMO OFDM system for wireless communication Int. J. Tech. Res. Sci. 2021 10.30780/IJTRS.V06.I10.001 6 1 10.1007/978-3-030-33103-0 Ezziyyani, M. (2020). Advanced Intelligent Systems for Sustainable Development (AI2SD’2019), Springer. Lecture Notes in Networks and Systems. Jiang An overview: Peak-to-average power ratio reduction techniques for OFDM signals IEEE Trans. Broadcast. 2008 10.1109/TBC.2008.915770 54 257 Lim An overview of peak-to-average power ratio reduction schemes for OFDM signals J. Commun. Netw. 2009 10.1109/JCN.2009.6391327 11 229 10.3390/s23020950 Tu, Y.P., and Chang, C.C. (2023). A Novel Low Complexity Two-Stage Tone Reservation Scheme for PAPR Reduction in OFDM Systems. Sensors, 23. 10.1109/JEC-ECC.2017.8305769 Mounir, M., Youssef, M.I., and Tarrad, I.F. (2017, January 18–20). On the effectiveness of deliberate clipping PAPR reduction technique in OFDM systems. Proceedings of the 2017 Japan-Africa Conference on Electronics, Communications and Computers (JAC-ECC), Alexandria, Egypt. 10.3390/info11020113 Tang, B., Qin, K., Chen, C., and Cao, Y. (2020). A novel clipping-based method to reduce peak-to-average power ratio of ofdm signals. Information, 11. 10.1109/VTCFall.2019.8891598 Omata, S., Shirai, M., Sugiyama, T., Urata, I., and Yamashita, F. (2019, January 22–25). PAPR and BER Performances of Direct Spectrum Division Transmission Applied by Clipping and Filtering in ACI Environment. Proceedings of the 2019 IEEE 90th Vehicular Technology Conference (VTC2019-Fall), Honolulu, HI, USA. Muller, S.H., and Huber, J.B. (1997, January 1–4). A novel peak power reduction scheme for OFDM. Proceedings of the 8th International Symposium on Personal, Indoor and Mobile Radio Communications-PIMRC’97, Helsinki, Finland. Gupta An efficient and improved PTS algorithm for PAPR reduction in OFDM system Int. J. Electron. 2022 10.1080/00207217.2021.1966671 109 1252 Peng A novel PTS scheme for PAPR reduction of filtered-OFDM signals without side information Teh. Vjesn. 2020 27 1305 Yuan Adaptive PTS scheme based on fuzzy neural network for PAPR reduction in OFDM system Digit. Signal Process. 2022 10.1016/j.dsp.2022.103492 126 103492 Bami Reducing the peak-to-average power ratio of multicarrier modulation by selective mapping Electron. Lett. 1996 10.1049/el:19961384 32 2056 10.1109/ICIEA.2019.8833926 Wei, S., Li, H., Han, G., Zhang, W., and Luo, X. (2019, January 19–21). PAPR reduction of SLM-OFDM using Helmert sequence without side information. Proceedings of the 2019 14th IEEE Conference on Industrial Electronics and Applications (ICIEA), Xi’an, China. Prasad PAPR reduction in OFDM systems using modified SLM with different phase sequences Wirel. Pers. Commun. 2020 10.1007/s11277-019-06763-7 110 913 Gupta Performance Investigations and PAPR Reduction Analysis Using Very Efficient and Optimized Amended SLM Algorithm for Wireless Communication OFDM System Wirel. Pers. Commun. 2020 10.1007/s11277-020-07563-0 115 103 Wang Improved cross-entropy-based tone injection scheme with structured constellation extension design for PAPR reduction of OFDM signals IEEE Trans. Veh. Technol. 2017 10.1109/TVT.2017.2780119 67 3284 Hu Initial probability adaptation enhanced cross-entropy-based tone injection scheme for PAPR reduction in OFDM systems IEEE Trans. Veh. Technol. 2021 10.1109/TVT.2021.3078736 70 6674 Park, S.E., Yun, S.R., Kim, J.Y., Park, D.S., and Joo, P. (2003). Tone reservation method for PAPR reduction scheme. Proj. IEEE, Available online: https://www.ieee802.org/16/tge/contrib/C80216e-03_60.pdf. Wang A novel tone reservation scheme based on deep learning for PAPR reduction in OFDM systems IEEE Commun. Lett. 2020 10.1109/LCOMM.2020.2980832 24 1271 Upadhyaya, Y.K., and Kushwaha, A.K. (2019). Soft Computing: Theories and Applications: Proceedings of the SoCTA 2019, Springer. Proakis, J.G., and Salehi, M. (2001). Communication Systems Engineering, Prentice-Hall. [2nd ed.]. Wang Reduction of peak-to-average power ratio of OFDM system using a companding technique IEEE Trans. Broadcast. 1999 10.1109/11.796272 45 303 Ali Analysis of improved μ-law companding technique for OFDM systems IEEE Trans. Consum. Electron. 2017 10.1109/TCE.2017.014753 63 126 10.1109/ICECS.2012.6463739 Yenamandra, V., Lei, F., Al-Araji, S., Ali, N., and Ismail, M. (2012, January 9–12). Adaptive slope and threshold companding technique for PAPR reduction in OFDM systems. Proceedings of the 2012 19th IEEE International Conference on Electronics, Circuits, and Systems (ICECS 2012), Seville, Spain. Pratt OFDM link performance with companding for PAPR reduction in the presence of non-linear amplification IEEE Trans. Broadcast. 2006 10.1109/TBC.2006.875613 52 261 Malini, M.A.H., and Selvi, M. (2024, February 05). Improved Companding Technique with Different Modulation Schemes for Better Papr in of DM Systems; The Mattingley Publishing Co., Inc.: 2020. Available online: https://www.academia.edu/106742291/Improved_Companding_Technique_with_Different_Modulation_Schemes_for_Better_Papr_in_of_DM_Systems. Shri Ramtej, K., and Anuradha, S. (2018). Optical and Wireless Technologies: Proceedings of the OWT 2018, Springer. 10.1109/CODIS.2012.6422221 Ramavath, S., and Kshetrimayum, R.S. (2012, January 28–29). Analytical calculations of CCDF for some common PAPR reduction techniques in OFDM systems. Proceedings of the 2012 International Conference on Communications, Devices and Intelligent Systems (CODIS), Kolkata, India. Urban, D.J. (2024, February 05). The importance of wi-fi 6 technology for delivery of gbps internet service. SCTE ISBE Cable-Tec. Expo. Available online: https://www.nctatechnicalpapers.com/Paper/2019/2019-the-importance-of-wifi-6-technology-for-delivery-of-gbps-internet-service. (2022, July 31). Minimum 802.11 SNR Sensitivity. Available online: https://interline.pl/Information-and-Tips/Minimum-802.11-SNR-Sensitivity.