A frequency offset estimation and correction apparatus including a frame averaging unit to average a plurality of frequency offset values to obtain a frame offset average for each of a plurality of frames, a re-sampling unit to produce a plurality of interpolated frequency offset values uniformly distributed over a time period of a frame of the plurality of frames based on the frame offset average of the frame and a frame offset average of at least one frame that precedes the frame, and an exponential averaging unit to calculate the estimated frequency offset based on the plurality of interpolated frequency offset values weighted by an exponential averaging coefficient.