On bandlimitedness and lag-limitedness of fractional Gaussian noise

The contributions of this short paper are two-fold. We shall show two interesting properties of fractional Gaussian noise (fGn), namely, its bandlimitedness and lag-limitedness. The computation formulas for the maximum frequency of bandlimited fGn and the maximum lag of lag-limited fGn are proposed. In addition, we will give a new explanation of the statistical dependences of fGn based on the present bandlimitedness and lag-limitedness of fGn.