Structural Analysis of Sub-Nyquist Sampling Patterns of Bandpass Signals

This paper continues the series of publications by the authors devoted to the study of multi-channel multi-frequency sub-Nyquist sampling of bandpass signals. With this approach, aliasing of varying degrees occurs in the channels. To develop algorithms for the restoration of distorted signals, a deep study of aliasing is necessary. The article explores a new way to visualize the positions of aliases on the frequency axis. The method is based on representing the positions of aliases as a function of two variables, one of which is the frequency itself, and the second is the lower bound of the part of the finite spectrum of the signal located at positive frequencies. As a result, a patterned structure is formed in which a certain elementary pattern is repeated periodically (with a period equal to the sampling frequency). This paper studies the structure of this pattern as a function of the relationship between spectral bandwidth and sampling rate.