There are many methods published about how to create signals with given kurtosis and Power Spectral Density, PSD, to use for vibration fatigue testing and/or to model real vibration. There are also such signals provided in commercial vibration test control systems. Some of those signals have questionable damage potential, expressed as Fatigue Damage Spectrum (FDS). This shows the need for a proper understanding of the damage properties of such signals. A specific non-Gaussian signal generation method is studied here, where a Gaussian signal with defined PSD is multiplied with a slowly varying Amplitude Modulation Signal (AMS). Here, the AMS is created by raising the absolute value of a low frequency Gaussian signal to a power p. Algebraic expression for calculation of AMS parameters from given kurtosis are presented.