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An Iterative Unfolding Procedure.

Ronald P Uhlig

    Journal of Research of the National Bureau of Standards. Section A, Physics and Chemistry
    |December 14, 2019
    PubMed
    Summary

    This study introduces an iterative method to correct detector resolution effects in pulse height distributions. The error propagation analysis shows that errors stabilize after about three iterations.

    Area of Science:

    • Nuclear Instrumentation
    • Data Analysis
    • Spectroscopy

    Background:

    • Finite detector resolution distorts observed pulse height distributions.
    • Accurate unfolding is crucial for precise scientific measurements.

    Purpose of the Study:

    • To present an iterative procedure for unfolding detector resolution effects.
    • To analyze the convergence, uniqueness, and error propagation of this unfolding method.

    Main Methods:

    • An iterative algorithm was developed to deconvolve detector effects.
    • Empirical analysis was performed on a specific detection system.
    • A general expression for propagated error was derived and approximated.

    Main Results:

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  • The iterative unfolding method demonstrated convergence and uniqueness properties.
  • Propagated error was evaluated, showing improvement with better detector resolution.
  • The error approached a stable limit of 1.5 to 3 times the observed error.

    • Conclusions:

    • The iterative unfolding technique effectively corrects for finite detector resolution.
    • The method provides a reliable way to estimate errors in unfolded distributions.
    • Optimal results are achieved with approximately three iterations for the tested system.