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.

优化后的奈奎斯特脉冲被用作频谱高效频分复用（SEFDM）系统的基带信号，其中子载波使用奈奎斯特脉冲的循环形式来降低它们的互相关性，降低它们之间同相发生的概率，并降低概率SEFDM 信号峰值。为降低子载波相关性，建立基于快速滚降特性的通用模型，将奈奎斯特脉冲主函数的主瓣间隔能量与总能量的比值设定为限制条件。基于傅里叶级数，数值方法用于求解有限长脉冲函数。该函数乘以 sinc 函数来构造适用于降低 SEFDM 系统峰均功率比的奈奎斯特脉冲。