A cellular system that includes one or more moving relays, each having one or more add-on Interference Cancellation Modules (ICMs) capable of generating a cleaner signal by increasing the Signal-to-Interferer Ratio (SIR), thereby cancelling interference. The interference originates from intra-network or from out-of-network source. The system enables cellular communication between two or more mobile stations, in a geographic area that lacks adequate cellular coverage by one or more stationary base station.