Time-frequency parameterization of doubly dispersive channels

We propose a new approach for describing doubly dispersive discrete-time channels based on concepts from Gabor analysis. The channel input is mapped onto the output via time-frequency signal representations based on tight Gabor frames. The prototype functions constituting tight frames are adaptable to diverse signal types and channel conditions. For wide-sense stationary uncorrelated scattering channels, optimized prototypes minimizing an inherent model error are presented. We obtain the optimized prototypes via convex optimization methods. Simulation results show that our prototypes perform very well unless the channel dispersions are severe in both delay and Doppler domains.