PDF evolution of a pulse train: A Characteristic function and adaptive spline approach

Abstract

© 2017 IEEE. By adaptively approximating the characteristic function to the required power by cubic spline functions, the probability density function of a sum of pulse functions with random amplitude and delay, can be approximated with good accuracy and over a wide range. The efficacy of the approach is shown by the determination of the probability density function evolution of a pulse train. Simulation results justify the approach.