Orthogonal frequency-division multiplexing (OFDM) is a method of encoding digital data on multiple carrier frequencies. Orthogonal frequency-division multiplexing (OFDM) is a method of digital modulation in which a signal is split into several narrowband channels at different frequencies. Here low-complexity fast OFDM scheme proposed which enabled efficient single-tap equalization for generic linear channels. The proposed technique is simpler and avoids net data rate loss compared with existing approach. Tthe complexity and performance of SC-FDE systems is comparable to that of OFDM while avoiding the above mentioned drawbacks associated with multicarrier (MC) implementation. On the other hand, FDE does not represent an optimal solution to signal detection over ISI channels and SC systems cannot certainly offer the same flexibility as OFDM in the management of band- width and energy resources, both in single user and in multi-user communications. A major design challenge for high-speed broadband applications is the time-dispersive nature of the terrestrial radio channel. The effects of multipath propaga- tion can be analyzed in the time domain (TD) or in the frequency domain (FD). In the TD, we note that when the time spread introduced by the channel is larger than one symbol period, the interference among consecutive transmitted symbols, known as ISI, distorts the received signal. In the FD, if the communication bandwidth is larger than the so-called coherence bandwidth of the channel, then distinct frequency components of the transmitted signal will undergo different attenuations, resulting in a distortion