Simultaneous frequency and phase estimation of digital modulated signals in burst mode transmission

Simultaneous frequency and phase acquisition and tracking methods in very short data records are reviewed and studied from a maximum-likelihood (ML)-estimation point of view. The frequency estimate of Tretter and Kay (see A.J. Viterbi and A.M. Viterbi, 1983) is extended to a multiple-parameter estimate. The resulting algorithm uses ML estimates for magnitude and phase prior to the linear regression procedure. The procedure provides good performance even under narrowband interferences and colored background noise. The application of interest is the estimation of Doppler frequency and channel leakage in burst communication systems