Extend co-bin multipath resolution to AFDM

Extend co-delay-Doppler bin multipath analysis from DFT-P-OCDM to affine frequency division multiplexing (AFDM) by deriving the corresponding input-output relationship, characterizing AFDM leakage behavior, and developing a suitable multipath resolution framework.

Background

The paper develops the TSUR framework specifically for DFT-P-OCDM, using a DPF-domain input-output relationship to exploit pilot phase progression for delay-class estimation and leakage patterns for fractional-Doppler estimation and physical path-number determination. The authors note that these leakage models depend on the waveform, so the analysis and estimator cannot be transferred directly to AFDM.

The unresolved work is to establish the analogous AFDM input-output relationship, understand its leakage structure in co-delay-Doppler bins, and use that characterization to design an appropriate resolution method for multipath components. This would extend co-bin sensing beyond the DFT-P-OCDM waveform studied in the paper.