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

Author

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  • Lin Tang

    (College of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, China
    National Engineering Research Center for Agro-Ecological Big Data Analysis & Application, Anhui University, Hefei 230039, China
    Guangxi Key Lab of Multi-Source Information Mining & Security, Guangxi Normal University, Guilin 541004, China
    Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, 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)

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.

Suggested Citation

  • Lin Tang & Kaibo Shi & Songke Yu, 2023. "Complex Dynamical Sampling Mechanism for the Random Pulse Circulation Model and Its Application," Mathematics, MDPI, vol. 11(3), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:668-:d:1049623
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    References listed on IDEAS

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    1. Lin Tang & Jianwei Zhang & Kaibo Shi & Bingqi Liu & Xingyue Liu & Yongxin Zhao & Yuepeng Li & Xianli Liao & Ze Liu & Songke Yu & Weidong Zhao, 2021. "Application of an Improved Seeds Local Averaging Algorithm in X-ray Spectrum," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-8, April.
    2. Cai, Xiao & Zhong, Shouming & Wang, Jun & Shi, Kaibo, 2020. "Robust H∞ control for uncertain delayed T-S fuzzy systems with stochastic packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 385(C).
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