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When "Optimal Filtering" Isn't

Published

Author(s)

Joseph Fowler, Bradley Alpert, W.Bertrand (Randy) Doriese, James P. Hays-Wehle, Young I. Joe, Kelsey Morgan, Galen O'Neil, Joel Ullom, Dan Schmidt, Daniel Swetz

Abstract

The so-called ''optimal filter'' analysis of a microcalorimeter's x-ray pulses is statistically optimal only if all pulses have the same shape, regardless of energy. The shapes of pulses from a nonlinear detector can and do depend on the pulse energy, however. A pulse-fitting procedure that accounts for the energy dependence of the shape should therefore achieve superior energy resolution. We take a geometric view of the pulse-fitting problem and give expressions to predict how much the energy resolution stands to benefit from such a procedure. We also demonstrate the method with a case study of K-line fluorescence from several 3d transition metals. The method improves the resolution from 4.9 eV to 4.2 eV at the Cu K-alpha line (8.0 keV).
Proceedings Title
IEEE Transactions on Applied Superconductivity
Volume
227
Issue
4
Conference Dates
September 5-9, 2016
Conference Location
Denver, CO, US
Conference Title
Applied Superconductivity

Keywords

Transition-edge sensors, x-ray detection, pulse analysis

Citation

Fowler, J. , Alpert, B. , Doriese, W. , Hays-Wehle, J. , Joe, Y. , Morgan, K. , O'Neil, G. , Ullom, J. , Schmidt, D. and Swetz, D. (2016), When "Optimal Filtering" Isn't, IEEE Transactions on Applied Superconductivity, Denver, CO, US, [online], https://doi.org/10.1109/TASC.2016.2637359, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=921779 (Accessed April 23, 2024)
Created December 7, 2016, Updated April 19, 2022