The Filtered-OFDM (F-OFDM) systems use filters to filter signals in the time-domain to achieve rapid attenuation of side-lobes and reduces mutual interference caused by multi-scene access. In general, signal filtering in the F-OFDM system is obtained by using the classical window functions to truncate the sinc function. In this paper, based on the intrinsic characteristics of window functions in the frequency-domain, a generic function model is proposed to design window functions with high energy concentration and fast side-lobes attenuation. The window function is defined as an even function and expressed as a Fourier series, and then the Fourier series is solved numerically to obtain the window function expression. The optimized windows functions with different attenuation rates can be obtained by modifying the rising index. The optimized window functions are applied to the F-OFDM systems for the purpose of evaluation, and the results show that they all achieve a lower OOBE degree than the classical windows, while their bit error rate (BER) is basically the same as that of the classical windows in the additive white gaussian noise (AWGN) channel.

Filtered-OFDM（F-OFDM）系统利用滤波器​​在时域对信号进行滤波，实现旁瓣的快速衰减，减少多场景接入带来的相互干扰。通常，F-OFDM系统中的信号滤波是通过使用经典的窗函数截断sinc函数来获得的。本文基于窗函数在频域的固有特性，提出了一种通用函数模型来设计具有高能量集中和快速旁瓣衰减的窗函数。将窗函数定义为偶函数并表示为傅立叶级数，然后对傅立叶级数进行数值求解，得到窗函数表达式。通过修改上升指数，可以得到不同衰减率的优化窗函数。