A simplified method for parameter estimating of double exponential pulse

Abstract

High-altitude electromagnetic pulse (HEMP), ultrawide-band pulse (UWB) and lightning electromagnetic pulse (LEMP) are often mathematically described by a double exponential function. In practice, the physical parameters of the pulse and the mathematical parameters of the function must often be transformed into each other. In this paper, a strict implicit translation equation group of parameters is deduced. Meanwhile, a simplified translation system of equations for parameter estimation is proposed based on statistical method. Two groups of correction terms are also given to improve the estimation precision. The estimation results demonstrate that the overall estimation error is less than 2.9%.