Optimal OFDM pulse and lattice design for doubly dispersive channels

We introduce a general framework for OFDM pulse shape design and demonstrate how to obtain a pulse optimally matched to given channel properties. Furthermore, standard OFDM systems are associated with a rectangular grid in the time-frequency plane, which is not optimal for pulse-shaping OFDM systems for doubly dispersive channels. We introduce lattice OFDM systems which are OFDM systems using general lattices in the time-frequency plane.