Optimal Filtering Applied to the Inversion of the Laplace Transform

  • Douglas A. Ross

Abstract

The laser scattering measurement of the Brownian motion of particles suspended in a colloid may be modeled by the integral equation
$$g(t)-\int_{o}^{\infty}G(\gamma)\;\exp(-\gamma t)d\gamma$$
which is the Laplace transform. In this equation g(t) is the autocorrelation of the electric field of scattered light, and G(γ) the linewidth distribution describing the particle size distribution of the colloid, with the property G(γ)≥0 for all γ.

Keywords

Statistical Noise Laplace Transform Noise Spectrum Optimal Filter Infinite Variance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • Douglas A. Ross
    • 1
  1. 1.Department of Electrical EngineeringUniversity of Colorado at DenverDenverUSA

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