Inverse a Posteriori Estimation of the Correspondence of the Sampling Frequency of a Signal to Its Actual Spectrum and the Sampling Theorem

The problem of a posteriori experimental and theoretical estimation of the correctness of the choice of the signal sampling frequency from the point of view of taking into account all the main frequency components of its spectrum is considered. An approach is proposed that implements this estimate from the point of view of the Kotelnikov's sampling theorem for the current operational measurement of signal samples. Compared to traditional, the proposed approach provides higher speed, reliability, accuracy of assessment and requires a small number of additional measurements. It has an absolute (not relative) character because it does not require comparison of the spectrum of the estimated signal sample group with the spectrum of the reference group with a large number of samples, for which the condition of the Kotelnikov's theorem must be proved. The relative character of the traditional approaches sharply narrows the range of their applicability.