Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
A Generation of Random-Time Pulses Having a Poisson Distribution
Takami KOYANAGIShin-ichi NAKAJIMAShigeru YAMADA
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1981 Volume 17 Issue 3 Pages 409-414

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Abstract
The output of radiation detectors such as a GM tube or a scintilation detector is a pulse train. It is known that the random time occurence of the pulses follows a Poisson distribution.
In this paper a new pulse generator is presented, the output is similar to that of these radiation detectors. The method for generating the pulse train is based on the mathematical transformaion of the uniformly distributed random numbers to random time intervals of pulses using the exponential function.
The theoretical analyses and the experimental results using the practical generator show that the statistical properties of the pulse train generated by this method are satisfactorily similar to those of random time pulses having a Poisson distribution.
The generator has also several featurs such as the high stability, the high repeatability and the capability of changing the mean pulse rate value in proportion to an external signal, and is very usuful for testing and studying of various measuring or control systems using radioisotopes.
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