pulse propagation On the Аnalytical Signal and Yu. N. Zajko Article «A History of One "Artefact"» Authors: Davidovich M. V. The erroneous claims, made in the paper [1] (article of Yu. N. Zayko in «Izvestia of Saratov University. New Ser. Ser. Physics». 2012. Vol. 12, iss. 1. P. 3–11) have been discussed.