Multi-carrier signal shaping employing hermite functions

In this paper, we introduce a novel signal shaping approach for multi-carrier systems. We propose to combine Hermite functions in order to get a good time-frequency localization property for multi-carrier signals, which is important for robustness against the time-frequency dispersion of the wireless channel. In our work, we orthogonalize the linear combination of Hermite functions in order to get a Weyl-Heisenberg set for multi-carrier signal shaping. We disprove the conjecture that optimum signal shape is achieved by orthogonalizing the Gaussian signal, which results in the IOTA signal. We show that the time-frequency localization of the proposed signal is better than that of the IOTA signal.