New frequency compensation circuit has been proposed using preamble symbols and some pilot symbols. The proposed circuit had a performance of compensation with the offset of 50ppm at 2.4GHz carrier. Initial phase detection and course frequency compensation was achieved from 16-symbol preamble. Minimum mean square scheme was used for evaluation of initial phase and frequency error from phase information of preamble symbols. Accurate compensation of residual frequency offset was operated from the phase information of pilot symbols inserted placed in information payload. Wireless packet modem has been implemented on field programmable gate array (FPGA). Conversion from rectangle coordinates function to polar coordinate function was employed for simple signal processing. Division calculator by bit shifts and lookup table by read only memory (ROM) were used for compact circuit design. Degradation of measured BER from ideal performance was confirmed to be less than 2.5 dB.