Analysis of Periodically Non-Uniform Sampled Signals

Modern methods of digital signal processing are based not only on equidistant discretization. The methods of non-uniform discretization, including periodically non-uniform discretization, are widely used. This paper describes the possibility of representing the results of periodically nonuniform sampling of a complex harmonic signal by the results of uniform sampling of a specially formed signal, which is the sum of complex harmonic signals, the number of which, amplitudes, frequencies and phases are determined both by the parameters of the original signal and by the parameters of the sampling scheme.