In OFDM System the Frequency offset in wireless communication systems distort the Orthogonality between subcarriers resulting in Inter Carrier Interference(ICI).This Paper presents a new scheme for ICI self cancellation which is simple and convenient technique. It utilize data allocation and combining of ( , so  so  ) on to a pair of symmetrically placed subcarriers to reduce the ICI. In proposed scheme we are maximizing CIR performance for a normal frequency offset  . In this method the CIR

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... performance is about more than 20dB better than that of normal OFDM for Small values of frequency offset  and having same bandwidth efficiency for larger Doppler frequency. Simulation results show that comparing proposed scheme with standard OFDM system and conventional ICI self cancellation. In simulation results we found that the performance of proposed scheme is better than the standard OFDM system and conventional ICI self cancellation.