Abstract: A system and method for estimating carrier frequency offset ?f and carrier phase offset ?0 inherent in a received CPM signal. Samples of a continuous phase modulated (CPM) signal are received. A maximum of an objective function J is determined over a two-dimensional region parameterized by frequency offset v and phase offset w. The coordinates vmax and wmax of a maximizing point in the region represent estimates of the carrier frequency offset ?f and the carrier phase offset ?0. To evaluate the objective function J at a point (v,w), apply a frequency shift of amount ?v and a phase shift of amount ?w to the received samples to obtain modified samples, and perform Viterbi demodulation on the modified samples to obtain a winning path metric value at a final time. The winning path metric value is the objective function value J(v,w).