Calculation of the Power Density in the Fredholm Equation That Yields a Weibull PDF (Power Level Density Function)

摘要

The Fredholm equation has been solved for the power density that yields a Weibull distribution for all values of parameter alpha. The closed-form analytical solution for the power level density function pdf of the averaged clutter return is found by using an asymptotic expansion. The Fredholm equation is used to generate a Weibull distribution and the results are compared to the actual Weibull distribution. There is particularly good agreement in the tail region of the distribution. Keywords: Non gaussian detection; Radar signal processing. (JHD)