Estimation of the parameters of the phase modulated signal in presence of the background noise using complete sufficient statistics

The results of the statistical estimation of the phase modulated signal parameters in white Gaussian noise are given. Measurable functions of the complete sufficient statistics for the phase parameters' estimates under the conditions of a priori uncertainty of the signal amplitude and noise variance were found. The simulation results of the demodulation process using LabVIEW software environment and the synthesized algorithm showed the asymptotic efficiency of the estimates.