Bayesian Multiscale Deconvolution Applied to Gamma-ray Spectroscopy

  • C. A. Young
  • A. Connors
  • E. Kolaczyk
  • M. McConnell
  • G. Rank
  • J. M. Ryan
  • V. Schoenfelder
Conference paper

Abstract

A common task in gamma-ray astronomy is to extract spectral information, such as model constraints and incident photon spectrum estimates, given the measured energy deposited in a detector and the detector response. This is the classic problem of spectral “deconvolution” or spectral inversion [2]. The methods of forward folding (i.e. parameter fitting) and maximum entropy “deconvolution” (i.e. estimating independent input photon rates for each individual energy bin) have been used successfully for gamma-ray solar flares (e.g. [5]). Nowak and Kolaczyk [4] have developed a fast, robust, technique using a Bayesian multiscale frame-work that addresses many problems with added algorithmic advantages. We briefly mention this new approach and demonstrate its use with time resolved solar flare gamma-ray spectroscopy.

References

  1. [1]
    Connors, A., Private Comm. (2000).Google Scholar
  2. [2]
    Craig, I. J. D., and Brown, J. C., Inverse Problems in Astronomy, Boston: Adam Hilger, Ltd., (1986).Google Scholar
  3. [3]
    Kolaczyk, E. D., in Bayesian Inference in Wavelet-based Models, edited by M. A. Vidkovic, New York City: Springer-Verlag, (1999).Google Scholar
  4. [4]
    Nowak, R. D., and Kolaczyk, E. D. in Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, (1999).Google Scholar
  5. [5]
    G. Rank Ph.D. Thesis University of Munich (1997).Google Scholar

Copyright information

© Springer-Verlag New York, Inc. 2003

Authors and Affiliations

  • C. A. Young
    • 1
  • A. Connors
  • E. Kolaczyk
  • M. McConnell
  • G. Rank
  • J. M. Ryan
  • V. Schoenfelder
  1. 1.NASA Goddard Space Flight CenterWashington D.CUSA

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