期刊
METROLOGIA
卷 58, 期 3, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1681-7575/abf7df
关键词
half-life; uncertainty; propagation; activity; nuclear data; empirical mode decomposition
This paper introduces an empirical decomposition method to separate medium-frequency effects from random statistical components, demonstrating its application on synthetic spectra, time series of solar neutrino detection rates, and experimental decay curves of Cs-134 measured in an ionization chamber.
A least-squares fit of exponential functions to a measured radioactive decay rate curve provides an estimate of the half-life and its statistical uncertainty in the assumption that all deviations from the theoretical curve are purely of a random nature. The result may be biased and the error underestimated as soon as the experiment suffers instabilities that exceed the duration of individual measurements. Contrary to long-term systematic errors, medium-frequency cyclic perturbations may be observable as autocorrelated structures in the residuals. In this work, an empirical decomposition algorithm is used to separate medium-frequency effects from the random statistical component in the fit residuals, such that custom error propagation factors can be calculated. A theoretical study of error propagation is made for sine and square wave perturbations. The empirical decomposition method is demonstrated on a synthetic spectrum, a time series of solar neutrino detection rates, and two experimental decay curves of Cs-134 measured in an ionisation chamber.
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