A library of aerosol size distributions based upon reasonable analytic functions, is used to form a set of orthogonal basis functions. It is assumed that any unknown aerosol size distribution may be constructed from a linear sum of these basis functions. The problem then becomes one of solving for the unknown coefficients of the basis functions. A solution with a smoothing constraint and a positivity constraint is developed, and the results of the method are presented.
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- Orthogonal Function Approach to the Inversion of Backscattered Data
Benjamin M. Herman
John A. Reagan
- American Meteorological Society