A device for estimating frequency offsets which is performed by periodically transmitting training signals from a wireless local area network system. The device includes a processor and computerized codes stored in a storage unit. The processor is configured to execute the computerized code to perform a method. The method includes receiving the plurality of training signals, selecting selected training signals by a predetermined interval from the received training signals, detecting and storing phases of the selected training signals, averaging phase differences of every pair of the detected phases of the selected training signals, calculating the frequency offsets according to an average of the phase differences for every pair of the detected phases of the selected training signals, and calculating a weighted average of the calculated frequency offsets using weighting values for each of the calculated frequency offsets.