Optimal Filtering Applied to the Inversion of the Laplace Transform
The laser scattering measurement of the Brownian motion of particles suspended in a colloid may be modeled by the integral equation
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.
KeywordsStatistical Noise Laplace Transform Noise Spectrum Optimal Filter Infinite Variance
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