Using the Half Fourier Transform for SEM analysis of both early and late time responses in the presence of noise

A technique for estimating the SEM parameters of damped sinusoids utilizing both early and late time transient scattering data contaminated by noise is described using the Half Fourier Transform (HFT). The importance of this novel methodology is how to simultaneously exploit both early time and late time data as for a practical system it is difficult to separate them and still be able to identify the late time poles along with the early time specular type of returns.