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A signal being a model of white noise in the time domain is proposed. It has the form of an infinite sequence of Dirac's impulses with random, Poisson-distributed distances between them. Then, the influence of two parameters, existing during a realization, on the form of the two-sided power spectral density is discussed. These quantities are the length of impulses and the average distance between them. Finally, the form of the power spectral density for a signal being a realization of white noise in the time domain, performed on the basis of the presented definition, is shown.