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Mathematical Analysis of Random Noise-Conclusion
About: This article is published in Bell System Technical Journal.The article was published on 1945-01-01 and is currently open access. It has received 807 citations till now.
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TL;DR: In this article, it is shown that the renewal function at an arbitrary level is proportional to the function at a reference level and to the probability that the original process stays above the level.
6 citations
TL;DR: In this paper, the crossing intensity of a level by a shot noise process with a monotone response is studied, and it is shown that the intensity can be naturally expressed in terms of a marginal probability.
Abstract: The crossing intensity of a level by a shot noise process with a monotone response is studied, and it is shown that the intensity can be naturally expressed in terms of a marginal probability.
6 citations
TL;DR: In this article, the authors used a computer program developed some time ago for describing the dispersion of heavy gases in the atmosphere, adapting the program to take into account the fall-out of particles as a function of their size.
6 citations
6 citations
21 Aug 1997-Nuclear Instruments & Methods in Physics Research Section A-accelerators Spectrometers Detectors and Associated Equipment
TL;DR: In this article, a simulation of the charge collection mechanism in silicon pixel detectors has been performed, where effects due to diffusion, δ-rays production and magnetic field have been taken into account.
Abstract: A simulation of the charge collection mechanism in silicon pixel detectors has been performed. Effects due to diffusion, δ-rays production and magnetic field have been taken into account. The VLSI cells response has been modelled assuming Gaussian noise and Gaussian threshold variation centred on typical values. A 5 × 5, 100 μm pitch, square pixel array, with the central pixel (surrounded by its 8 first and 16 second neighbours) uniformly irradiated by MIPs with different incident angles, has been considered. Its geometry has been varied looking for cluster distribution and attainable spatial resolution for both digital and analogue read out. The simulations have been compared with the results obtained with digital and analogue hybrid silicon pixel detectors and show, in the limits of the Monte-Carlo uncertainties, a good agreement with experimental data.
6 citations