Abstract
The conventional way to perform the sampling process of a signal requires the application of a filter to remove high frequency components in order to avoid the effect of frequency overlap. However, in many cases filtering the signal may mean important loss of information about signal details. This paper shows that under certain conditions on the sampling system and the sampled signal, it is possible to recover all the signal frequency components according to a sub-sampling and reconstruction process inspired in compress sensing. The study considered pulse signals with pulse duration much smaller than the total length of the signal.
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