@article{oai:nagoya.repo.nii.ac.jp:00019814, author = {NAKAI, Taketoshi}, journal = {Proceedings of the Research Institute of Atmospherics, Nagoya University}, month = {Mar}, note = {The cumulative distribution of the spacing between the occurrence times of pulses, when the atmospheric noise envelopes exceed a given voltage level, contains an information about the time variations of the atmospheric noise field, and so it is available in determining the behaviors of the wireless communication system in existence of the atmospheric noise. Lately, the cumulative distributions of the time length of quiescent level between pulses have been measured, when the atmospheric noise envelopes exceed various voltage levels. The measured distributions in such cases may be a good approximation to the distributions of the spacing between the occurrence times of pulses in the directions of the high voltage levels, but it is supposed that a departure arises between the two kinds of distributions in the directions of the low voltage levels. A theoretical analysis for this departure has not yet been published. In this paper, due to the analysis for the time series of pulses in the Poisson noise process, the probability density and the cumulative distribution of the spacing between the occurrence times of pulses have been derived. And the calculated curves have been obtained due to the theoretically derived functions and it is shown that a remarkable departure arises between the cumulative distributions and the Poisson distribution, especially in the directions of low voltage levels.}, pages = {1--10}, title = {DISTRIBUTION OF THE SPACING BETWEEN THE OCCURRENCE TIMES OF PULSES IN THE POISSON NOISE PROCESS}, volume = {12}, year = {1965} }