2024-03-28T12:30:42Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00019797
2023-01-26T05:12:55Z
879:1183:1640:1730
DISTRIBUTINONS OF PULSE DURATION IN THE POISSON NOISE AND ATMOSPHERIC NOISE
NAKAI, Taketosi
open access
A simple model is taken for the time series of pulses of rectangular form resulted from amplifying, and limiting the atmospheric noise envelopes sliced a t a given voltage level. This model is the Poisson noise process in which the original pulses with a constant duration are arriving a t the time spacings determined by the Poisson distribution law. The probability density function and distribution function of duration are derived by the method of the characteristic function for the K-multiple pulses and all the observed pulses in the Poisson noise process. These functions are characterized by the product of the average number per second and the constant duration of the original pulses. For the case of the time series or pulses of rectangular form, when the atmospheric noise envelopes exceed a given voltage level, the duration of the original pulses is a random variable, and an accurate derivation of the distribution function of duration has not been obtained. In this case, the effects of overlappings between the original pulses on the distribution of duration of the original pulses can be approximately estimated with respect to the values of the product of the average duration and the average number of the original pulses per second.
The Research Institute of Atmospherics, Nagoya University
1964-03-25
eng
departmental bulletin paper
VoR
http://hdl.handle.net/2237/21856
https://nagoya.repo.nii.ac.jp/records/19797
0077-264X
Proceedings of the Research Institute of Atmospherics, Nagoya University
11
19
27
https://nagoya.repo.nii.ac.jp/record/19797/files/proria_11_19.pdf
application/pdf
1.3 MB
2018-02-21