Spectral Contributions of Sections of Power-Law Structure Function of Random Processes with Stationary Increments: Part 2—The Exponent is Greater than Unity

Abstract

The frequency behavior of the spectral contributions of the initial, central, and “finite” parts of a power-law structure function (with an exponent greater than unity) is considered. It is shown that it is much more complicated than the strictly positive monotonic power-law frequency dependence of the initial SD. The latter corresponds only to the behavior of the spectral contribution of the initial section of the given structure function. The analytical approximating frequency dependences of all these spectral contributions are derived and analyzed. They are recommended for wide practical use.