Recovery of an Analytical Signal Distorted by First-Order Aliasing
Vladislav A. Lesnikov, Tatiana V. Naumovich, Alexander V. Chastikov · Problems of advanced micro- and nanoelectronic systems development · 2020
This paper relates to one of the areas of digital signal processing in a wide frequency band based on the use of undersampling.In this case, the sampling rate is less than the Nyquist-Shannon sampling theorem requires.In this direction, compressed sampling methods are intensively used, based on the fact that the sampling theorem formulates sufficient requirements for the sampling frequency while under certain conditions they are not necessary.Very often these methods use random sampling.Our article uses deterministic undersampling.Undersampling results in aliasing that distorts the signals.Known signal restoration methods are based on multi-channel processing.At the same time, the channels carry out preliminary analog signal processing with subsequent undersampling with a singlefrequency frequency in all channels.The proposed approach is based on the rejection of preliminary analog processing in the channels, but the frequency of the undersampling in different channels is different.Then the integration of the processing results in the channels for signal restoration is carried out.Keywordssubnyquist sampling, first-order aliasing, restoration of a signal distorted by aliasing, analytical signal, two-channel two-rate sampling.