Scientific References

Scientific References & Bibliography

The numerical algorithms, continuous peak models, background decomposition techniques, and baseline filters implemented in python-cmat are based on the following literature in semiconductor $\gamma$-ray spectroscopy and signal processing:

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1. Du, P., Kibbe, W. A., & Lin, S. M. (2006).
   "Improved peak detection in mass spectrometry by incorporating continuous wavelet transform-based pattern matching".
   Bioinformatics, 22(17), 2059–2065.
   DOI: 10.1093/bioinformatics/btl355
   (Foundational algorithm for multi-scale Continuous Wavelet Transform ridge detection and noise estimation in counting spectra).

2. Gamba, E. R., Bruce, A. M., & Rudigier, M. (2019).
   "Treatment of background in $\gamma$-$\gamma$ fast-timing measurements".
   Nuclear Instruments and Methods in Physics Research Section A, 928, 93–103.
   DOI: 10.1016/j.nima.2019.03.028
   (Mathematical formulation of the 4-component coincidence background decomposition, ridge extraction, and Peak-to-Total-Background ratio $\Pi$).

3. Morhác, M., Kliman, J., Jandel, M., Krupa, L., & Matoušek, V. (1997).
   "Study of background and peak decomposition in multidimensional coincidence $\gamma$-ray spectra".
   Nuclear Instruments and Methods in Physics Research Section A, 401(1), 113–131.
   DOI: 10.1016/S0168-9002(97)01023-1
   (Foundational background estimation using LLS transformation and decreasing-order SNIP in ROOT TSpectrum and gamma-ray coincidence analysis).

4. Phillips, G. W., & Marlow, K. W. (1976).
   "Automatic analysis of gamma-ray spectra from germanium detectors".
   Nuclear Instruments and Methods, 137(3), 525–536.
   DOI: 10.1016/0029-554X(76)90472-X
   (Original formulation of the Hypermet peak shape: Gaussian + convolved exponential tail + erfc step function).

5. Campbell, J. L., & Maxwell, J. A. (1993).
   "Analytical representation of Si(Li) and HPGe detector response functions".
   Nuclear Instruments and Methods in Physics Research Section B, 73(4), 545–551.
   DOI: 10.1016/0168-583X(93)95837-K
   (Comprehensive evaluation of analytical detector response functions and physical origin of peak tailing components).

6. Radford, D. C. (1995).
   "ESCL8R and LEVIT8R: Software for interactive analysis of HPGe coincidence data sets".
   Nuclear Instruments and Methods in Physics Research Section A, 361(1-2), 297–305.
   ScienceDirect Link
   (Foundational reference for the RadWare analysis package and the gf3 peak fitting algorithms used throughout modern nuclear structure coincidence analysis).

7. Helmer, R. G., & Lee, M. A. (1980).
   "Analytical functions for fitting peaks from Ge semiconductor detectors".
   Nuclear Instruments and Methods, 178(2-3), 499–512.
   DOI: 10.1016/0029-554X(80)90830-7
   (Systematic comparison of analytical peak fitting formulations for germanium semiconductor detectors).

8. Routti, J. T., & Prussin, S. G. (1969).
   "Photopeak method for the computer analysis of gamma-ray spectra from semiconductor detectors".
   Nuclear Instruments and Methods, 72(2), 125–142.
   DOI: 10.1016/0029-554X(69)90148-7
   (Original formulation of the Gaussian peak with continuous exponential tails in the SAMPO program).

9. Ryan, C. G., Clayton, E., Griffin, W. L., Sie, S. H., & Cousens, D. R. (1988).
   "SNIP, a statistics-sensitive background treatment for the quantitative analysis of PIXE spectra in geoscience applications".
   Nuclear Instruments and Methods in Physics Research Section B, 34(3), 396–402.
   DOI: 10.1016/0168-583X(88)90063-8
   (Original formulation of the Statistics-sensitive Non-linear Iterative Peak-clipping [SNIP] background estimation algorithm).

10. Mariscotti, M. A. (1967).
    "A method for automatic identification of peaks in the presence of background".
    Nuclear Instruments and Methods, 50(2), 309–320.
    DOI: 10.1016/0029-554X(67)90058-4
    (Pioneering method for automated peak detection and continuum background estimation using generalized second-difference filtering in GASPware trackn.F).

11. Morhác, M. (2009).
    "Sophisticated algorithms of analysis of spectrometric data".
    Nuclear Instruments and Methods in Physics Research Section A, 600(2), 478–487.
    DOI: 10.1016/j.nima.2008.11.132
    (Comprehensive analysis of peak clipping, multi-scale smoothing, deconvolution, and multidimensional background estimation in gamma-ray spectroscopy).

12. Knoll, G. F. (2010).
    "Radiation Detection and Measurement", 4th Edition, John Wiley & Sons, New York.
    ISBN: 978-0-470-13148-0.
    (Chapters 12 & 18: Germanium gamma-ray detectors, pulse height defect, hole trapping, and peak shape asymmetry).