Complex Dynamical Sampling Mechanism for the Random Pulse Circulation Model and Its Application

Lin Tang, Kaibo Shi () and Songke Yu
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Lin Tang: College of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, China
Kaibo Shi: College of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, China
Songke Yu: College of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, China

Mathematics, 2023, vol. 11, issue 3, 1-14

Abstract: The fast multi-pulse spectrum is a spectrum acquisition method that obtains an average pulse amplitude in a dynamic window, which improves the energy resolution by sharpening peaks in the acquired spectra, but produces the counting loss. Owing to the counting loss problem, a counting rate multiplication method based on uniform sampling, also called the pulse circulation method, is presented in this paper. Based on the theory of mathematical statistics and uniform sampling, this method adopted a dynamic sample pool to update the pulse amplitude sample in real time. Random numbers from the uniform distribution were sampled from the sample pool, and the sampled results were stored in the random pulse circulator so that the pulse amplitude information used for spectrum generation was uniformly expanded. In the experiment section, the obtained spectrum was analyzed to verify the multiplication effect of the pulse circulation method on the counting rate and the compensation effect of the fast multi-pulse spectrum algorithm on the counting rate loss. The results indicated that the characteristic peaks of each element in the X-ray spectrogram obtained by the pulse circulation method could realize counting rate multiplication uniformly, and the multiplication ratio of every element was approximately equal. This is of great significance for obtaining an accurate X-ray fluorescence spectrum.

Keywords: X-ray spectrogram; dynamic sample pool; counting rate multiplication; random pulse circulator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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