Affine Frequency Division Multiplexing (AFDM), a new chirp-based multicarrier waveform for high mobility communications, is introduced here. AFDM is based on discrete affine Fourier transform (DAFT), a generalization of discrete Fourier transform, which is characterized by two parameters that can be adapted to better cope with doubly dispersive channels. First, we derive the explicit input-output relation in the DAFT domain showing the effect of AFDM parameters in the input-output relation. Second, we show how the DAFT parameters underlying AFDM have to be set so that the resulting DAFT domain impulse response conveys a full delay-Doppler representation of the channel. Then, we show analytically that AFDM can achieve full diversity in doubly dispersive channels, where full diversity refers to the number of multipath components separable in either the delay or the Doppler domain, due to its full delay-Doppler representation. Furthermore, we present a low complexity detection method taking advantage of zero-padding. We also propose an embedded pilot-aided channel estimation scheme for AFDM, in which both channel estimation and data detection are performed within the same AFDM frame. Finally, simulations corroborate the validity of our analytical results and show the significant performance gains of AFDM over state-of-the-art multicarrier schemes in high mobility scenarios.

翻译：此处引入了基于精密的多载波波形,这是用于高流动性通信的新型多载波形(AFDM),AFDM基于离散的fine Fourier变异(DAFT),这是离散的Fourier变异(Fourier变异)的典型,其特点是有两个参数可以调整,以更好地应对双分散渠道。首先,我们从DAFT域获得明确的输入-输出关系关系,显示AFDM参数在输入-输出关系中的影响。第二,我们展示了AFDMD基础的DAFT参数必须如何设定,这样DAFT域脉冲反应能够传达出该频道的全面延迟-多普勒代表。然后,我们从分析角度显示,AFDDDM能够在双双双双分散渠道实现充分多样化,其中充分多样性是指延迟或多路段内多路段组合组合组合组合组合组合组合组合,因为其完全延迟-多普勒代表关系。此外,我们展示了一种利用零帕制的低复杂探测方法。 我们还提议了AFDFDDDM的嵌入的试验性频道评估计划,在AFDMM的高级模型的模拟模型的高级模型的模拟模型中,最后的升级分析框架中也展示了对AFDFDFDMFDM的大幅的模拟性能测测得结果。