This paper compare the different of single carrier frequency domain equalization (SCFDE) and orthogonal frequency division multiplexing (OFDM), list the disadvantage of the OFDM algorithm and the advantage of SC-FDE system and the frequency domain equalization algorithm. Perform the performance of SC-FDE under the different equalization algorithms is simulated, the comparison of two frequency equalization algorithm was emulate and there is a well method for the single carrier frequency domain equalization.