Study of time-domain digital pulse shaping algorithms for nuclear signals

• Published in: 核技术（英文版） 2012-06, Vol.23 (3), p.150-155
• Main Author: ZHOU Jianbin ZHOU Wei LEI Jiarong TUO Xianguo ZHU Xing LIU Yi
• Format: Article
• Language: English
• Subjects: 基尔霍夫电流定律; 数字信号处理器; 时域; 电路模型; 算法; 脉冲整形; 计算机模拟; 非齐次微分方程
• ISSN: 1001-8042; 2210-3147

With the development on high-speed integrated circuit, fast high resolution sampling ADC and digital signal processors are replacing analog shaping amplifier circuit. This paper firstly presents the numerical analysis and simulation on R-C shaping circuit model and C-R shaping circuit model. Mathematic models are established based on 1st order digital differential method and Kirchhoff Current Law in time domain, and a simulation and error evaluation experiment on an ideal digital signal are carried out with Excel VBA. A digital shaping test for a semiconductor X-ray detector in real time is also presented. Then a numerical analysis for Sallen-Key （S-K） low-pass filter circuit model is implemented based on the analysis of digital R-C and digital C-R shaping methods. By applying the 2nd order non-homogeneous differential equation, the authors implement a digital Gaussian filter model for a standard exponential-decaying signal and a nuclear pulse signal. Finally, computer simulations and experimental tests are carried out and the results show the possibility of the digital pulse processing algorithms.