Data transfer in wireless communication systems requires higher data rate, transmission capability, high bandwidth and robustness. Orthogonal frequency division multiplexing (OFDM) is mainly used in regard with Multipath fading and delay. To increase the systems performance various pilot assisted method was discovered and studied. We have used compressed sensing to estimate the channel coefficients of the fading channel; then we have performed the compressive sensing (CS) recovery algorithm to estimate the channel and to nullify the fading effect, the thus much better result are obtained in the simulation which satisfies the better performance of the system as compared to the traditional method.