The parameters of bipolar random square-wave signal process, amplitude and phase with unknown probability distribution are shown to be simultaneously estimated by using Gauss-Markov estimator so that transmitted digital data can be recovered under the additive Gaussinan noise environment. However, we see that the preprocessing stage using the correlator composed of the multiplier and the running integrator is needed to convert the received process into the sampled sequences and to obtain the observed data vectors, which can be used for Gauss-Markov estimation.