Level dependence of the variance of the number of level-crossing points of a stationary Gaussian process (Corresp.)

The variance of the number of level-crossing points of stationary Gaussian processes is calculated numerically for several spectral shapes. It is shown that as the crossing level is changed the variance reaches a maximum at some nonzero level for most spectral shapes of the underlying Gaussian process. An attempt is made to interpret the result using some simple assumptions.