Optimal Filtering Applied to the Inversion of the Laplace Transform

  • Douglas A. Ross


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.


Statistical Noise Laplace Transform Noise Spectrum Optimal Filter Infinite Variance 
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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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