A new digital Gaussian pulse shaping algorithm based on bilinear transformation

Qing GE; Liang-Quan GE; Hong-Wen YUAN; Ao-Mei LI

doi:10.13538/j.1001-8042/nst.26.010402

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A new digital Gaussian pulse shaping algorithm based on bilinear transformation

NUCLEAR ELECTRONICS AND INSTRUMENTATION | Updated：2021-01-20

- A new digital Gaussian pulse shaping algorithm based on bilinear transformation
- Nuclear Science and Techniques Vol. 26, Issue 1, Article number: 010402(2015)
- Affiliations：
  
  1.The College of Nuclear Technology and Automation Engineering, Chendu University of Technology, Chengdu 610059, China
  2.Institute of Plasma Physics, Chinese Academy of Sciences, Hefei 230031, China
- Author bio：
  
  Corresponding author, glq@cdut.edu.cn
- Funds：
- DOI：10.13538/j.1001-8042/nst.26.010402
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Qing GE, Liang-Quan GE, Hong-Wen YUAN, et al. A new digital Gaussian pulse shaping algorithm based on bilinear transformation. [J]. Nuclear Science and Techniques 26(1):010402(2015)
DOI：

Qing GE, Liang-Quan GE, Hong-Wen YUAN, et al. A new digital Gaussian pulse shaping algorithm based on bilinear transformation. [J]. Nuclear Science and Techniques 26(1):010402(2015) DOI： 10.13538/j.1001-8042/nst.26.010402.

摘要

Abstract

Nuclear pulse signal needs to be transformed to a suitable pulse shape to remove noise and improve energy resolution of a nuclear spectrometry system. In this paper, a new digital Gaussian shaping method is proposed. According to Sallen-Key analog Gaussian shaping filter circuits, the system function of Sallen-Key analog Gaussian shaping filter is deduced on the basis of Kirchhoff laws. The system function of the digital Gaussian shaping filter based on bilinear transformation is deduced too. The expression of unit impulse response of the digital Gaussian shaping filter is obtained by inverse z-transform. The response of digital Gaussian shaping filter is deduced from convolution sum of the unit impulse response and the digital nuclear pulse signal. The simulation and experimental results show that the digital nuclear pulse has been transformed to a pulse with a pseudo-Gaussian, which confirms the feasibility of the new digital Gaussian pulse shaping algorithm based on bilinear transformation.

关键词

Keywords

Digital shapingBilinear transformationConvolution sum

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State Key Laboratory of Nuclear Resources and Environment, East China University of Technology

School of nuclear science and engineering, East China University of Technology

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