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Regularized Sparse Representation for Spectrometric Pulse Separation and Counting Rate Estimation

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Book cover Latent Variable Analysis and Signal Separation (LVA/ICA 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7191))

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Abstract

One of the objectives of nuclear spectroscopy is to estimate the varying counting rate activity of unknown radioactive sources. When this activity is high, however, nonparalyzable detectors suffer from a type of distortion called pile-up effect, when pulses created from different sources tend to overlap. This distortion leads to an underestimation of the activity, which explains the interest of methods for individual pulse separation. We suggest in this paper a two-step method for a better counting rate estimation: the signal is first approximated using a block-sparse regression method, allowing to separate individual pulses quite well. We then estimate their arrival times and plug them into a known activity estimator. Results on simulations and real data illustrate the efficiency of the proposed approach.

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References

  1. Beck, A., Teboulle, M.: A fast iterative Shrinkage-Thresholding algorithm for linear inverse problems. SIAM Journal on Imaging Sciences 2, 183 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  2. Chen, S.S., Donoho, D.L., Saunders, M.A.: Atomic decomposition by basis pursuit. SIAM Journal on Scientific Computing 20, 33–61 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  3. Efron, B., Hastie, T., Johnstone, I., Tibshirani, R.: Least angle regression. Annals of Statistics 32(2), 407–499 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  4. Knoll, G.F.: Radiation Detection and Measurement, 2nd edn. Wiley (1989)

    Google Scholar 

  5. Lewis, P.A.W., Shedler, G.S.: Statistical analysis of non-stationary series of events in a data base system. IBM J. Res. Dev. 20(5), 465–482 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  6. Meinshausen, N., Yu, B.: Lasso-type recovery of sparse representations for high-dimensional data. The Annals of Statistics 37(1), 246–270 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  7. Michotte, C., Nonis, M.: Experimental comparison of different dead-time correction techniques in single-channel counting experiments. Nuclear Instruments and Methods in Physics Research Section A 608(1), 163–168 (2009)

    Article  Google Scholar 

  8. Trigano, T., Sepulcre, Y., Roitman, M., Aferiat, U.: On nonhomogeneous activity estimation in gamma spectrometry using sparse signal representation. In: 2011 IEEE Statistical Signal Processing Workshop (SSP), pp. 649–652. IEEE (June 2011)

    Google Scholar 

  9. Wainwright, M.J.: Sharp thresholds for high-dimensional and noisy sparsity recovery using l1-constrained quadratic programming (Lasso). IEEE Trans. Inf. Theor. 55(5), 2183–2202 (2009)

    Article  Google Scholar 

  10. Yuan, M., Lin, Y.: Model selection and estimation in regression with grouped variables. Journal of the Royal Statistical Society, B 68(1), 49–67 (2006)

    Article  MathSciNet  MATH  Google Scholar 

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Fabian Theis Andrzej Cichocki Arie Yeredor Michael Zibulevsky

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© 2012 Springer-Verlag Berlin Heidelberg

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Trigano, T., Sepulcre, Y. (2012). Regularized Sparse Representation for Spectrometric Pulse Separation and Counting Rate Estimation. In: Theis, F., Cichocki, A., Yeredor, A., Zibulevsky, M. (eds) Latent Variable Analysis and Signal Separation. LVA/ICA 2012. Lecture Notes in Computer Science, vol 7191. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28551-6_24

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  • DOI: https://doi.org/10.1007/978-3-642-28551-6_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28550-9

  • Online ISBN: 978-3-642-28551-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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