摘要
本文首先基于拉式变换以及Z变换,对C-R系统进行分析,得到了相应的时域连续解与离散解,考虑到指数运算在现场可编程门阵列(Field-Programmable Gate Array,FPGA)中难以实现,结合泰勒级数展开了指数项,得到了改进的离散解,然后结合数值解对这三个离散解进行了仿真对比;结合Z变换解,对其做相应的处理得到C-R逆系统的时域数字解,并且给出了基于FPGA的C-R逆算子的电路系统结构实现框图。在构建的C-R逆算子算法基础上,针对单指数脉冲信号通过C-R系统后产生的反冲拖尾现象进行了初步应用研究,得到了无反冲的更窄的脉冲信号,实现了数字极零相消的功能。最后通过模拟实验发现了数字基线漂移的问题,分析了原因,并提出了改进方法,得到改进的C-R逆算子算法,并通过模拟实验验证了可行性。
[Background]In nuclear radiation measurement,nuclear pulse signal can only process the analog circuit system in sequence,generally,signal distortion appeared.[Purpose]This paper proposed inverse C-R algorithm aims at obtaining narrow nuclear pulse signal,implementing baseline elimination,and realizing better precision and high-resolution energy spectrum measurement under high counting rate.[Method]This paper makes detail study in C-R circuit system with Laplace transform and Z-transform,and corresponding continuous and discrete solutions to step signal and minus exponential signal of C-R circuit are presented,besides,considering the difficulty in algorithm deployment in FPGA(Field-Programmable Gate Array)with exponential parameter,Taylor expansion is applied to simplify the discrete response,which an modified discrete solution is also presented,besides,numerical solution of C-R system is also considered,the comparison of the three discrete solutions are simulated with MATLAB.And with suitable transform of C-R numerical solution,inverse C-R numerical solution is obtained,as appropriate choice of parameter,inverse C-R numerical solution can not only eliminate the undershoot in nuclear signal,but also realize the narrowing of the signal.[Results&Conclusions]Simulation results presents that the three methods are in consistence in nuclear signal processing,and with suitable parameter setting,inverse C-R system can eliminate the undershoot and narrow the signal,and with accurate baseline estimation,baseline restoration can be realized with modified inverse C-R baseline eliminating algorithm.
作者
金幼贤
周建斌
马英杰
岳爱忠
洪旭
刘易
王敏
JIN Youxian;ZHOU Jianbin;MA Yingjie;YUE Aizhong;HONG Xu;LIU Yi;WANG Min(College of Nuclear Technology and Automation Engineer,Chengdu University of Technology,Chengdu 610059,China;China Petroleum Logging Co.,Ltd,Xi'an 710032,China;Sichuan Xinxianda Measurement and Control Technology Co.,Ltd,Chengdu 610052,China)
出处
《核技术》
CAS
CSCD
北大核心
2021年第7期39-45,共7页
Nuclear Techniques
基金
国家自然科学基金-面上项目(No.11975060、No.12075038、No.12005026)
四川省科技计划(No.2021JDRC0028)资助。
关键词
Z变换
C-R逆算子
时域数值分析
基线恢复
Z transform
Inverse C-R transform
Time domain numerical analysis
Baseline restoration
