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The Inverse Cumulative Criterion for the Estimation of the Adequacy of the Choice of the Signal Sampling Frequency at the Recording of Wave and Resonant Changes of Mechanical and Physical Fields

From the point of view of the fulfillment of the condition of the sampling theorem a new criterion for the operative estimation of the adequacy of the choice of the sampling frequency of the measured signal is considered. Its feature is the comparison of two sequences of samples of the signal, measured with the desired sampling frequency and with a lower one. The second frequency is chosen the less one than the sampling theorem requires in order to cause the effect of spectrum aliasing. On the basis of the arising effect of spectrum aliasing of the measured signal the proposed formula of the criterion allows to conclude about the correctness of the choice of the sampling frequency in the first samples sequence with a higher sampling frequency. The criterion allows to draw a conclusion about the adequacy of the selected sampling interval of the signal to its frequency spectrum more accurately, quickly, directly in the measurement process, with a small number of additional samples and without uncertainties. This is more important at the recording of wave and resonant changes of mechanical and physical fields in automation, energy, transport and other fields.