Abstract
Quadrature Amplitude Modulation (QAM) is a multi-level modulation scheme applied to achieve high data transmission rates. In the 16-QAM scheme, high Peak-to-Average Ratio (PAPR) is an issue as wireless communication devices are required to be small with high power efficiency. To resolve this issue, hexagonal constellation symbol mapping has been proposed to reduce the PAPR. In a real environment, Orthogonal Frequency Division Multiplexing (OFDM) systems are sensitive to signal distortions such as multipath channel and frequency offsets. When the pilot signals are used to compensate the signal distortion, the combination of pilot signals and mapping need to be considered. The paper investigates the PAPR of the hexagonal constellations and examines the relationship between the PAPR and the interval of pilot signal in OFDM system. Bit Error Rate (BER) performance are evaluated with computer simulations.
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The datasets generated and/or analyzed during the current study are available from the corresponding author on reasonable request. The custom code generated and/or analyzed during the current study is not publicly available due to privacy reasons.
References
Han, S. H., Cioffi, J. M., & Lee, J. H. (2008). On the use of hexagonal constellation for peak-to-average power ratio reduction of an ODFM signal. IEEE Transactions on Wireless Communications, 7(3), 781–786.
Han, S. H., Cioffi, J. M., & Lee, J. H. (2006). Tone injection with hexagonal constellation for peak-to-average power ratio reduction in OFDM. IEEE Communications Letters, 10(9), 646–648.
Kitahara, H., Morita, H., & Manada, A. (2020). PAPR reduction of coded modulation schemes using product codes over hexagonal constellations. IEICE Transactions on Communications, J103–B(5), 184–197.
Liu, X., Xu, Z., Tian, L., & Yang, X. (2021). A novel integer frequency offset estimation method for ofdm based on preamble. In 2021 7th IEEE international conference on network intelligence and digital content (IC-NIDC), Beijing, China (pp. 191–195).
Li, S., et al. (2024). Downlink carrier frequency offset estimation for OTFS-based LEO satellite communication system. IEEE Communications Letters, 28(1), 163–167.
Mohan, M. V. A., & Giridhar, K. (2022). Interference-Aware Accurate Signal Recovery in Sub-1 GHz UHF Band Reuse-1 Cellular OFDMA Downlinks. IEEE Open Journal of the Communications Society, 3, 2087–2105.
Liu, Y., Zhu, X., Lim, E. G., Jiang, Y., & Huang, Y. (2022). A semi-blind multiuser SIMO GFDM system in the presence of CFOs and IQ imbalances. IEEE Transactions on Wireless Communications, 21(1), 48–63.
Salari, S., & Chan, F. (2021). Joint CFO and channel estimation in OFDM systems using sparse Bayesian learning. IEEE Communications Letters, 25(1), 166–170.
Hussien, M., et al. (2023). Carrier frequency offset estimation in 5G NR: Introducing gradient boosting machines. IEEE Access, 11, 34128–34137.
Patra, J. P., & Singh, P. (2013). A comb-type pilot symbol aided channel estimation for STBC based OFDM system over frequency selective channel. In 2013 IEEE Asia Pacific conference on postgraduate research in microelectronics and electronics (PrimeAsia), Visakhapatnam, India (pp. 262–267).
Boshehba, S. A., Badran, E. F., & Mahmoud, M. (2013). A modified blind deterministic carrier frequency offset estimator for OFDM systems. In 2013 Second International Japan-Egypt Conference on Electronics, Communications and Computers (JEC-ECC), Cairo, Egypt (pp. 18–22).
Sugimoto, H., Sato, T., & Tominaga, H. (2009). Sampling frequency offset and residual carrier frequency offset compensation method using pilot symbol for OFDM systems. IEICE Transactions on Communications, J92–B(9), 1519–1525.
3GPP TS 38.101-1 V15.3.0 NR user equipment radio transmission and reception, Sep. 2018.
Hassan, M. S. A., & Ahmad, R. B. (2016). Variable pilot channels estimation based on block-type and comb-type pilot arrangement in OFDM system. In 2016 3rd international conference on electronic design (ICED) (pp. 99–102). IEEE.
Khan, L. U., Mahmud, S. A., Khan, G. M., Zafar, M. H., & Ashraf, M. (2014). Channel estimation based on non-equally spaced pilot allocation in OFDM system. In 2014 6th computer science and electronic engineering conference (CEEC) (pp. 139–143). IEEE.
Harada, H., Mizutani, K., Matsumura, T., Kato, T., & Shioiri, K. (2022) Development of full-duplex cellular system for beyond 5G and 6G systems. In 2022 IEEE 33rd annual international symposium on personal, indoor and mobile radio communications (PIMRC) (pp. 01–05). IEEE.
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All authors contributed to the study conception and design. Material preparation and data collection were performed by Keigo Uehara and data analysis was performed by Keigo Uehara and Mamiko Inamori. The first draft of the manuscript was written by Keigo Uehara and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.
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Uehara, K., Inamori, M. Pilot-Based Compensation Scheme for Signal Distortion with Hexagonal Constellation. Wireless Pers Commun 137, 1947–1962 (2024). https://doi.org/10.1007/s11277-024-11310-0
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DOI: https://doi.org/10.1007/s11277-024-11310-0