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This paper describes novel feedforward data-aided digital estimation algorithms for determining carrier phase and frequency offsets independently in a burst-mode linear channel environment corrupted by additive white Gaussian noise. The techniques are applicable to linear modulation schemes (M-PSK, M-QAM) and based on oversampling of a known preamble. The estimators' performance is analyzed, simulated and verified experimentally for QPSK/OQPSK systems. Experimental results demonstrate that the techniques provide a fast synchronization using a short preamble and low complexity.