SIR Optimized Hermite-Based Pulses for BFDM Systems in Doubly Dispersive Channels

This paper deals with performance evaluation of an optimized pulse shaping BFDM system operating in doubly dispersive channels. An SIR-based optimization is done by searching appropriate pulse shape according to the known channel statistics. We show that, in doubly dispersive channels, the impact of interference, composed by both inter-symbol interference (ISI) and inter-carrier interference (ICI), depends crucially on time frequency localization of transmit and receive pulses. We propose to maximize the SIR, written as a ratio of two quaternary forms, by alternating between transmit and receive pulse spaces both generated by Hermite waveforms. Numerical results involve PS-BFDM performance evaluation in brick with constant dispersion and Jakes shaped channel, and yet a performance comparison with a state of the art CP-OFDM system.