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We present Affine Frequency Division Multiplexing (AFDM), a new chirp-basedmulticarrier transceiver scheme for high mobility communications innext-generation wireless systems. AFDM is based on discrete affine Fouriertransform (DAFT), a generalization of discrete Fourier transform characterizedwith two parameters that can be adapted to better cope with doubly dispersivechannels. Based on the derived input-output relation, the DAFT parametersunderlying AFDM are set in such a way to avoid that time domain channel pathswith distinct delays or Doppler frequency shifts overlap in the DAFT domain.The resulting DAFT domain impulse response thus conveys a full delay-Dopplerrepresentation of the channel. We show that AFDM can achieve the full diversityof linear time-varying (LTV) channels. Our analytical results are validatedthrough numerical simulations, which evince that AFDM outperformsstate-of-the-art multicarrier schemes in terms of bit error rate (BER) indoubly dispersive channels.

AFDM: A Full Diversity Next Generation Waveform for High Mobility Communications