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Mathematical Analysis of Random Noise-Conclusion
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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.read more
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Flows of cars and neural spikes enhanced by colored noise
TL;DR: It is shown that proper long-range correlations in the flow noise, related to 1/ f -like noises, provide superior traffic properties as compared to Poissonian or periodic car traffic.
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A two-step methodology to apply low-discrepancy sequences in reliability assessment of structural dynamic systems
TL;DR: In this article, a two-step algorithm is proposed, in which the most uniformly scattered point set among the low-discrepancy sequences is selected according to the centered L 2 discrepancy and then rearranged to minimize the generalized F 2 discrepancy, and the developed point set is incorporated into the maximum entropy method to capture the fractional moments for deriving the extreme value distribution for reliability assessment of structural dynamic systems.
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On extremes and streams of upcrossings
TL;DR: In this article, the authors studied relations between P { sup t ∈ [0,h] ξ(t)>u} and h lim n→∞ 2 n P {ξ(0)⩽u −n )}+ P {∾( 0) >u} for a stationary process ξ (t) for a Markov jump process, α-stable processes and quadratic functionals of Gaussian processes.
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Extension of two-dimensional sampling theory
TL;DR: In this paper, the authors extend limiting results obtained for the sampling interval at zero and infinity when various sampling patterns other than the conventional rectangular grid are used, and show that these results can be extended to arbitrary sampling patterns.
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Power-Spectrum Analysis of Exponential Diffusers
Robert C. Waag,Keith T. Knox +1 more
TL;DR: In this paper, an explicit relation for exponential diffuser-transmittance power spectrum is derived in terms of the diffuser surface statistics, and some insight into the relations follows from expressions that are developed for zero-order energy and the mean square spread of the spectrum.