This paper further develops the topic of the authors’ previous research. In particular,
order statistics of the discrete normalized spectral distribution of the additive white Gaussian
noise are investigated to detect a deterministic useful signal in a noise mixture using information
features. An additional relationship is established between the discrete spectral distribution of
the single-window realization statistics of the white noise. Another novel result consists in
exact formulas for calculating the mean and variance of normalized order statistics. Based
on the analytical expressions derived, a new formula for calculating the spectral complexity is
proposed and the already known one is refined. The theoretical results are verified by statistical
simulation.