Gaussian Shaping Method of Digital Nuclear Pulse Based on Bilinear Transformation Method

Abstract

The invention discloses a digital nuclear pulse gauss shaping method based on the bilinear transformation method. The digital nuclear pulse gauss shaping method includes the steps of obtaining a differential equation of system circuit input signals and system circuit output signals according to a circuit of a simulation gauss shaping system, carrying out derivation on the differential equation through Laplace transformation to obtain a system function of the simulation gauss shaping system, transforming the system function of the simulation gauss shaping system from a simulation domain to a digital domain through the bilinear transformation method to obtain a system function of a digital gauss shaping system, carrying out inverse Z-transformation on the system function of the digital gauss shaping system to obtain unit impulse responses of the digital gauss shaping system, wherein the unit impulse responses contain shaping parameters which can adjust the waveform width, selecting the shaping parameters in the unit impulse responses, determining the corresponding unit impulse responses of the digital gauss shaping system according to the selected shaping parameters, carrying out convolution summing and operation on nuclear pulse signals input into the digital gauss shaping system and the unit impulse responses of the digital gauss shaping system, and achieving digital nuclear pulse gauss shaping.

Description

technical field [0001] The invention relates to Gaussian shaping of digital nuclear pulses in radioactivity measurement, in particular to a Gaussian shaping method of digital nuclear pulses based on a bilinear transformation method. Background technique [0002] Nuclear energy spectroscopy is one of the important methods for radioactivity measurement and material composition analysis. In the nuclear energy spectrum measurement system, the nuclear pulse signal output by the nuclear radiation detector rises quickly, but falls for a long time, which not only affects the energy resolution, but also affects the peak position of the energy spectrum curve. A common approach to this problem is to shape the nuclear pulse signal. Gaussian shaping has better comprehensive performance in terms of high energy resolution and ballistic loss, so Gaussian shaping is a main research direction of nuclear pulse shaping. The analog Gaussian shaping system is often realized by using the analog ...

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Problems solved by technology

The analog Gaussian shaping system is often realized by using the analog Sallen-Key filter, but on the one hand, the analog system has many deficiencies in stability, flexibility, and spectral peak drift; on the other hand, with the development of digital electronic technology, digitalization has become the core The main direction of the development of analytical instruments, and the key to digitalization is digital pulse shaping, so digital Gaussian shaping has become a hot spot in the research of digital nuclear pulse signal processing

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