Optimal side lobes under linear and faster-than-Nyquist modulation

In English We minimize the frequency and time occupancy of multicarrier binary linear modulation based on two-dimensional faster than Nyquist (FTN) signaling. FTN analysis provides the asymptotic time-frequency consumption per bit and prolate spheroidal wave analysis minimizes the side lobe occupancy. For both problems, an excellent choice is a Gaussian pulse, with some adjustment of the side lobes.