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Optimized baseband Nyquist pulse-based PAPR reduction method for SEFDM systems

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Abstract

The optimized Nyquist pulse is used as a baseband signal of spectrally efficient frequency division multiplexing (SEFDM) system, where subcarriers use cyclic forms of the Nyquist pulse to reduce their mutual correlation, the probability of in-phase occurrence between them, and reduce the probability of the SEFDM signal peak. To reduce the subcarrier correlation and to establish a generic model based on fast roll-off characteristics, the ratio of the energy of the main lobe interval of the main function of the Nyquist pulse to the overall energy is set as a limiting condition. Based on the Fourier series, numerical methods are used to solve the limited long-pulse function. This function is multiplied by the sinc function to construct the Nyquist pulse that is suitable for reducing the peak-to-average power ratio of the SEFDM system. Simulation results have verified that under different symbol mapping types, the proposed optimized Nyquist pulse can achieve a significantly better PAPR reduction effect than the raised cosine Nyquist pulse and some of the commonly used Nyquist pulses in the SEFDM systems under different roll-off factors.

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The authors confirm they have included a data availability statement in this paper. And all data generated or analysed during this study are included in this paper.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No. 52101383), the Sino-Russian Cooperation Fund of Harbin Engineering University (No. 2021HEUCRF006), the Ministry of Science and Higher Education of the Russian Federation (No. 075-15-2020-934), and the International Science & Technology Cooperation Program of China (No. 2014DFR10240).

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Contributions

ML and WX proposed the innovations in the paper. ML and YX simulated the algorithm in the paper. ML, WXand PJcompleted the first draft of the paper, and JG and WC consolidated and revised the paper. In addition, WX and JG contributed to the revision of the paper.

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Correspondence to Yidong Xu.

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Liu, M., Xue, W., Gao, J. et al. Optimized baseband Nyquist pulse-based PAPR reduction method for SEFDM systems. Telecommun Syst 81, 289–306 (2022). https://doi.org/10.1007/s11235-022-00946-7

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