Numerical and Experimental Studies of Spectral Unfolding. Volume II.

Abstract

A basic theory of unfolding has been implemented in a new unfolding code, MAZE 1. The two principles which underlie the theory are that a function W of the spectrum can be found such that the unfolded spectrum corresponds to the point that minimizes W and the smoothing strength varies dynamically to the largest value that still allows the folded spectrum to be consistent with the data. Multinomial statistics and the fact that the spectrum and the data are random variables were used in formulating the minimum principle. The W function which was developed includes a part corresponding to the maximum likelihood function and a smoothing part especially designed to be invisible to Gaussian peaks. A unique error estimation technique adapted to the nonquadratic form of W was developed. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 27, 1971
Accession Number
AD0734204

Entities

People

  • Hugh Kendrick
  • S. Martin Sperling

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Diffraction
  • Information Science
  • Mathematics
  • Random Variables
  • Spectra
  • Statistics

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