A communication system providing wireless communication among wireless users through a number of cellular base stations. At least one of the base stations is a mobile base station in which low and high speed wireless transceivers are mounted on a temporarily stationary mobile vehicle such as a truck trailer or a truck. The system includes at least one connecting station with a millimeter wave wireless transceiver in communication with a fiber optic or high-speed cable communication network. The transceiver is adapted to communicate at millimeter wave frequencies higher than 60 GHz with another millimeter wave transceiver at one of the cellular base stations. Each of the base stations serves a separate communication cell. Each base station is equipped with a low frequency wireless transceiver for communicating with the wireless users within the cell at a radio frequency lower than 6 GHz and a millimeter wave wireless transceiver operating at a millimeter wave frequency higher than 60 GHz for communicating with another millimeter wave transceiver at another base station or a millimeter wave transceiver at said at the connecting station. The base stations are also equipped with data transfer means for transferring data communicated through the low frequency wireless transceiver to the millimeter wave wireless transceiver and for transferring data communicated through the millimeter wave wireless transceiver to the low frequency wireless transceiver. In preferred embodiments the system is a part of a telephone system, an Internet system or a computer network.