ON THE DESIGN AND GENERATION OF THE DOUBLE EXPONENTIAL FUNCTION

For the double exponential function f(t) = K(e(-at)-e(-bt)), which is used for impulse testing of electrical components and systems, we deri ve an approximate relation between the ratio y(m) = T-m/T-max, where T -max and T-m are, respectively, the times to reach the peak value F-ma x and the value F-max/m on the tail of the pulse, and the ratio x = b/ a. This relation is useful for finding x for a prescribed y(m), where m is usually equal to 2, Our formula is much simpler than that given b y Googe, Ewing and Hess [1], but gives results of comparable accuracy, We also present a number of RC two-ports, alternative to those of [1] , for generating the test function f(t) from an impulse function delta (t), as well as from the step function u(t).