Abstract: A frequency synchronizer system is based on the maximum likelihood criterion from estimation theory and that can achieve both frequency acquisition and frequency tracking without requiring knowledge at the receiver of the carrier's phase angle, baud timing, or a preamble consisting of known signal symbols.

Abstract: A frequency and phase synchronizer system comprises a processor for executing a sequence of operations, which include: a) initializing a frequency error estimate value and phase error estimate value; b) separating discrete samples of a continuous phase modulation signal into a first sequence of odd numbered samples of the signal, and a second sequence of even numbered samples of the signal; c) determining an unknown frequency offset value from the first and second sequences, frequency error estimate, and phase error estimate; d) determining an unknown phase offset value from the first and second sequences, frequency error estimate, phase error estimate, and a first discrete data sample of said discrete samples of the continuous phase modulation signal; f) updating the frequency error estimate from the unknown frequency offset value; and updating the phase error estimate from the unknown phase offset value.