We have proposed new carrier frequency offset compensation scheme for wireless communication system with burst transmission. Key functions of the proposed scheme are pilot signals insertion into information block and polar-coordinates conversion scheme using read only memory. The proposed compensation scheme was performed by single packet under burst transmission. The result of computer simulation showed that degradation of Eb/N 0 performance from theoretical limit at the bit error rate (BER) of 10-3BER was found to be less than 0.2dB. We implemented modem with the proposed phase compensation scheme. Measured result of the implemented modem showed that degradation from theoretical limit at the BER of 10-3 was found to be less than 2dB.