Lecture14 - ENU 4612C/5615C Nuclear Radiation Detection and...

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Unformatted text preview: ENU 4612C/5615C Nuclear Radiation Detection and Instrumentation Lecture 14 Electronics and Pulse Processing (5) Electronics and Pulse Processing 1. Pulse transmission and shaping 2. Linear and logic pulse functions 3. Multichannel pulse analysis 4. Pulse pile-up and rejection Electronics and Pulse Processing Pulse pile-up and rejection Statistics of Time Intervals and Pile-up Distribution of Intervals Want to derive the distribution function I 1 (t), where I 1 (t) is the differential probability of observing an interval with length between t and t + dt Time r = average rate of random events r dt = differential probability of observing an event in dt Electronics and Pulse Processing Pulse pile-up and rejection Statistics of Time Intervals and Pile-up Distribution of Intervals Time Assume first event at time t = 0 dt t dt re dt t I e rt P x e rdt P dt t I rt rt x = = = = = = ) ( ! ) ( ! x P(x) x rt in t events of number Average ) ( ) ( 1 x 1 Electronics and Pulse Processing Pulse pile-up and rejection Statistics of Time Intervals and Pile-up Distribution of Intervals r dt re dt re t dt t I dt t I t t rt rt 1 ) ( ) ( 1 1 = = = t t Electronics and Pulse Processing Pulse pile-up and rejection Interval Between Scaled Events ( ) rdt N e rt dt t I x e x x P rdt N P dt t I rt N N x x N )! 1 ( ) ( ! ) ( : Recall ) 1 ( ) ( 1 = = = Electronics and Pulse Processing Pulse pile-up and rejection Interval Between Scaled Events r N t r N t 1 : general In prob most = = r t 10 = t ) ( 10 t I Electronics and Pulse Processing...
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Lecture14 - ENU 4612C/5615C Nuclear Radiation Detection and...

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