On the design and generation of the double exponential function

Dutta Roy, S. C. ; Bhargava, D. K. (1996) On the design and generation of the double exponential function IEEE Transactions on Instrumentation and Measurement, 45 (1). pp. 309-312. ISSN 0018-9456

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Official URL: http://ieeexplore.ieee.org/iel1/19/10302/00481355....

Related URL: http://dx.doi.org/10.1109/19.481355


For the double exponential function f(t)=K(e-at-e-bt), which is used for impulse testing of electrical components and systems, we derive an approximate relation between the ratio ym=Tm/Tmax, where Tmax and Tm are, respectively, the times to reach the peak value Fmax and the value Fmax/m on the tail of the pulse, and the ratio x=b/a. This relation is useful for finding x for a prescribed ym, where m is usually equal to 2. Our formula is much simpler than that given by Googe, Ewing and Hess (1992), but gives results of comparable accuracy. We also present a number of RC two-ports for generating the test function f(t) from an impulse function δ(t), as well as from the step function u(t).

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