LUT-based non-linearity compensation for BES III TOF's time measurement

LUT-based non-linearity compensation for BES III TOF's time measurement 1 2 first-author 1 2 1 2 1 2 corresp Corresponding author. E-mail address: anqi@ustc.edu.cn Corresponding author. E-mail address: anqi@ustc.edu.cn anqi@ustc.edu.cn Key Laboratory of Technologies of Particle Detection & Electronics, Chinese Academy of Sciences, Key Laboratory of Technologies of Particle Detection & Electronics, Chinese Academy of Sciences, Anhui Key Laboratory of Physical Electronics, Department of Modern Physics, University of Science and technology of China, Hefei 230026, China Anhui Key Laboratory of Physical Electronics, Department of Modern Physics, University of Science and technology of China, Hefei 230026, China The impact of the integral non-linearity (INL) to the time resolution of HPTDC (High Performance Time to Digital Converter) is presented in this paper. An INL correction method based on look-up table (LUT), is proposed to minimize such INL and improve the time resolution. This scheme is implemented in a single Field Programmable Gate Array (FPGA) device for real-time compensation. The INL characteristic estimation is based on a statistical approach, in which a sufficiently large number of random input signals are measured. The prototype tests show that the deviation for time resolution due to INL can be reduced greatly, from more than 80 ps to less than 20 ps, which can meet the requirement of BES (Beijing Spectrometer) III Time-Of-Flight detector. INL Resolution HPTDC LUT Compensation References BES III Collaboration, the Preliminary Design Report of the BES-III Detector , Beijing : CAS/IHEP , available at http://bes.ihep.ac.cn/bes3/design05/design/design1.htm , 2004 , 130 - 134 . BES III Collaboration, the Preliminary Design Report of the BES-III Detector Christiansen J . High performance time to digital converter (Version 2.2 ), CEREN : CERN Digital Microelectronics Group , available at http://tdc.web.cern.ch/tdc/hptdc/docs/hptdc_manual_ver2.2.pdf , 2004 , 3 - 5 . High performance time to digital converter Walt Kester , Mixed-signal and DSP design techniques , USA : Analog Devices, Inc. ISBN-0-916550-23-0 , 2003 , 2.8 - 2.10 . Mixed-signal and DSP design techniques Manuel Mota , Design and Characterization of CMOS High-Resolution Time-to-Digital Converters , Portugal : the Technical University of Lisbon , 2000 , 17 - 25 . Design and Characterization of CMOS High-Resolution Time-to-Digital Converters Joey Doernberg , Hae-Seung Lee , David A. Hodges , IEEE JOURNAL OF SOLID-STATE CIRCUITS , 1984 , SC-19 , NO. 6 : 820 - 827 . IEEE JOURNAL OF SOLID-STATE CIRCUITS Fachini P , Zhangbu X , et al . Technical Design Update to Proposal for a Large Area Time of Flight System for STAR , New York, USA : The STAR TOF Collaboration , available at http://www.star.bnl.gov/public/tof/ , 2005 , 44 - 46 . Technical Design Update to Proposal for a Large Area Time of Flight System for STAR Schambach J , Hoffmann G , Kajimoto K , et al ., Interna J Modern Phys E , 2007 : 2496 - 2502 . Interna J Modern Phys E Wu J J , Heng Y K , Liu S B , et al ., Performance test of BESIII TOF electronics by PMT signal , Nucl Tech , 2008 , 31 ( 1 ): 5 - 9 . (in Chinese) Performance test of BESIII TOF electronics by PMT signal Liu S B , Feng C Q , An Q , et al ., BES III Time-Of-Flight Readout System , IEEE Trans. Nucl. Sci. , to be published in Dec. 2009 . BES III Time-Of-Flight Readout System 10.13538/j.1001-8042/nst.21.49-53 Supported by BEPCII project (BEPC II-UDDETF-309-HT182/2004) , Knowledge Innovation Program of The Chinese Academy of Sciences (YFKJCX3. SYW. N5) , and the National Natural Science Foundation of China (No.10970033) . 2009-03-13 2010-02-20 2021-01-19 2010 Nuclear Science and Techniques 01 21