Estimation of Time-Frequency Parameters of Signals using The Generalized Distribution Law

The report discusses the topic of estimating the time-frequency parameters of signals. The estimation of these parameters is carried out based on the results of simultaneous measurement of signal phases based on finding the maximum of the likelihood function. The likelihood function is constructed using a generalized distribution law. The proposed model of the generalized distribution law of the time-frequency parameters of the signal allows us to fully take into account their real distribution due to the influence of various factors. It is shown that when the model distribution law coincides with the real distribution law, the obtained estimates of the frequency-time parameters of signals have the property of efficiency and consistency. Numerical simulation results illustrating the asymptotic efficiency and consistency of the obtained estimates are presented.