Fast, high-current pulse generator with variable amplitude and width

a one-dimensional random walk, for which the statistical properties are well known. The essential idea behind this approach can best be seen in Eq. (2) where the individual t; + r terms in the sum on the left represent steps in a unidirectional random walk, the walk being terminated when the value Tis reached. A detailed treatment (facilitated by the definition of the I; given above) shows that the number of steps required to do this is, on theaverage,N0 = T/(i + r),asexpected,andissubject to one-a statistical variations given by