Nuclear Science and Techniques

《核技术》(英文版) ISSN 1001-8042 CN 31-1559/TL     2019 Impact factor 1.556

Nuclear Science and Techniques ›› 2015, Vol. 26 ›› Issue (1): 010402 doi: 10.13538/j.1001-8042/nst.26.010402

• NUCLEAR ELECTRONICS AND INSTRUMENTATION • Previous Articles     Next Articles

A new digital Gaussian pulse shaping algorithm based on bilinear transformation

GE Qing1,GE Liang-Quan1,YUAN Hong-Wen2,LI Ao-Mei2   

  1. 1The College of Nuclear Technology and Automation Engineering,
    Chendu University of Technology, Chengdu 610059, China
    2Institute of Plasma Physics, Chinese Academy of Sciences, Hefei 230031, China
  • Contact: GE Liang-Quan E-mail: glq@cdut.edu.cn
  • Supported by:

    Supported by National High Technology Research and Development Pro-
    gram of China (No. 2012AA061803) and Higher Education and Teaching
    Reform Project of Chendu University of Technology (No. 13JGY25)

GE Qing,GE Liang-Quan,YUAN Hong-Wen,LI Ao-Mei. A new digital Gaussian pulse shaping algorithm based on bilinear transformation.Nuclear Science and Techniques, 2015, 26(1): 010402     doi: 10.13538/j.1001-8042/nst.26.010402

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.

Key words: Digital shaping, Bilinear transformation, Convolution sum