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DFT-Based Modulation and Demodulation for Affine Frequency Division Multiplexing
  • Vincent Savaux
Vincent Savaux
IRT b<>com

Corresponding Author:[email protected]

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Abstract

This paper deals with discrete Fourier transform (DFT)-based modulation and demodulation techniques for affine frequency division multiplexing (AFDM) instead of discrete affine Fourier transform (DAFT). This allows for a simple (de)modulation process based on the usual DFT, such that the AFDM can be interpreted as a precoded orthogonal frequency division multiplexing (OFDM) waveform, making the AFDM modulation scheme backward compliant with existing OFDM systems. Furthermore, the sampling frequency of the modulated AFDM signal can be finely tuned using the suggested methods while the usual DAFT leads to signals sampled at Nyquist rate. To achieve this, four different DFT-based AFDM modulation techniques are introduced, as well as one demodulation method, according to necessary conditions on the AFDM signal parameters, to the cost of a loss of flexibility on the parameters setting. All the presented methods are supported by mathematical developments and proofs, and validated through simulations.