The object of research is
Whittaker-Kotelnikov-Shannon sampling theorem
The aim of research is to
Theoretical generalization of the sampling theorem for the frequency-time domain
A GENERALIZATION OF THE SAMPLING THEOREM TO THE FREQUENCY-TIME DOMAIN FOR SIGNAL DISCRETIZATION UNDER A PRIORI UNCERTAINTY
radio monitoring, a priori uncertainty, sampling theorem, frequency-time domain, signal detection-recovery, Fourier processor
Main scientific results imply the following
A mathematical model has been built for the discrete frequency-temporal representation of signals in the form of a double series using systems of orthogonal functions. Basic properties of the derived representation have been proved and investigated.
Scope of application
Development of effective methods, algorithms, and signal processing devices to overcome the structural-parametric a priori uncertainty
Limitations for practical use
If the signal spectrum width coincides with the processing band, bulky two-coordinate representation becomes impractical.