Block based DMT systems with reduced redundancy

There has been great interest in the design of DMT (discrete multitone) transceivers. An M-band DMT transceiver is called block based if the transmitter and the receiver consist of constant matrices. The commonly used DMT systems are mostly block based, e.g., the DFT based system used in transmission over digital subscriber lines. For an FIR channel of order L, it is known that redundancy of length L enables the receiver to cancel ISI completely. Such a scheme allow us to trade bandwidth for ISI cancellation. In block based DMT (BDMT) systems, the redundancy K is typically chosen to be the same as the order of the channel L. We consider BDMT transceiver with redundancy K ⩽ L. With the reduced redundancy better bandwidth efficiency can be obtained as demonstrated by examples. Furthermore minimum redundancy for BDMT systems are derived and the transceivers are parameterized whenever intersymbol interference (ISI) solutions exist