Novel Parameter Estimation of Double Exponential Pulse (EMP, UWB) by Statistical Means

High-power electromagnetic environments, such as the high-altitude electromagnetic pulse (HEMP) and the ultrawide-band (UWB) pulses, pose dangerous threats to electronic systems. Such pulse shapes are often described physically by the characteristic parameters: the rise time t
_r
, pulse width t
_fwhm
and maximum electric field strength E
_max
, and mathematically by the double exponential function with characteristic parameters alpha, beta ,kappa . and E
₀
. In practice, it is very necessary to transform the two groups of parameters into each other. In this paper, a novel relationship between the two groups of parameters is established by statistical means. This method utilizes only four assistant variables to realize the transform, and the overall estimation error is less than 2.0%.