Exploiting Noisy Early Time Response Using the Half Fourier Transform

Abstract

We present a new technique for estimating the parameters of damped sinusoids utilizing both early and late time transient scattering data contaminated by noise. Transient scattering responses are composed of damped sinusoids at late times and impulse-like components at early times. In this study the entire noisy time domain response is used to extract the signal parameters of interest. The half Fourier transform (HFT) is used to analyze the data for parameter identification. Impulse or Gaussian-like pulses can be easily separated from the damped exponentials in the HFT domain, as they have similar functional representations. Results from several examples show that the new technique is applicable for noisy signals that are composed of damped exponentials and pulse-like components.