Estimation of the possibilities of application of a non-parametric criterion for studying noisy harmonic signals

The paper presents the results of applying the algorithm based on the nonparametric Wilcoxon criterion for evaluating individual parameters of a noisy harmonic signal. A sinusoidal signal with different amplitude values was selected as a signal, and Gaussian noise was selected as an additive noise. As a result of applying the algorithm, the original noisy signal without preliminary filtering was transformed into a random rank function. The behavior of a rank function is characterized by the presence of extrema in it at the points of analysis. The intervals between extrema can be used to estimate the periods of a noisy signal, and the accuracy of the estimate depends on the signal-to-noise ratio.