Embodiments are provided for pre-cancelling signal interference in Generalized Frequency Division Multiplexing (GFDM). Signal interference is pre-cancelled, at a transmitter, so that clean pilots are observed at a receiver and hence used for channel estimation. Using a Pilot-Interference Cancellation (Pilot-IC) method, interference is pre-cancelled at only pilot symbols. Alternatively, interference is simultaneously pre-cancelled at all symbols using a Transmitter IC (Tx-IC) method. The embodiments also include scattering the pilots over frequency and time resources to estimate channels which are frequency selective and time-variant. The channel estimates at the receiver are then used for single-tap channel equalization at time-frequency grid data points, where no assumption of time-invariant channels is required.