Premium
A generator of a poisson stream and its engineering applications
Author(s) -
Wulich D.
Publication year - 1983
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490110403
Subject(s) - poisson distribution , generator (circuit theory) , gaussian , shot noise , filter (signal processing) , noise (video) , compound poisson process , gaussian noise , realization (probability) , mathematics , computer science , detector , control theory (sociology) , algorithm , poisson process , statistics , physics , telecommunications , artificial intelligence , power (physics) , control (management) , quantum mechanics , image (mathematics) , computer vision
A simple method of generating a Poisson stream is proposed. the method is based on the theorem which states that if a normal (Gaussian) and stationary process ‘upcrosses’ a ‘high’ threshold level, then the stream ‘upcrossings’ behave as a Poisson process. It is shown that it is sufficient to take a level equal to 3 xstandard deviation of the normal process (3σ) as the high level. the Poisson stream generator may be built from three blocks: a Gaussian noise generator, a lowpass filter and an ‘upcrossing’ detector. the intensity of the generated Poisson stream depends on the cutoff frequency of the lowpass filter and is proportional to it. Variation of intensity affects the variance of the normal process and, therefore, in a practical realization of the proposed generator, a circuit which automatically keeps the threshold level at 3σ must be added. Some engineering applications of the Poisson stream generator are given.