Abstmct -Block transmission systems with guard periods are used for high rate transmissions over wire less channels. Removing the guard periods woul d in crease the throughput at the price of higher computa tional complexity. Here a method called overlapping is presented that retains the algebraic structure of the block processing stages while the insertion of guard pe riods can be omitted. The necessary computations of the overlapping method can be performed in the re ceiver. If they are transfered to the transmitter side, a new system with block wise pre equalization and op tional error correction in the receiver is obtained.