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Mathematical Analysis of Random Noise-Conclusion

S. O. Rice
- 01 Jan 1945 - 
- Vol. 24, pp 46-156
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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.

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Journal ArticleDOI

Joint distributions of wave height and period in laboratory generated nonlinear sea states

TL;DR: In this article, the joint distribution of wave heights and periods of nonlinear wave time series obtained in laboratory conditions is investigated, and the observed results of the joint distributions are also compared with the theoretical model of Longuet-Higgins (1983).
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Attenuation Estimation with the Zero-Crossing Technique: Phantom Studies†

TL;DR: In this paper, global and local attenuation coefficient estimations were performed in a phantom using a pulse echo method based on the rate of decay of zero crossing density, where focussed and unfocussed 3.5 MHz transducers were used.
Journal ArticleDOI

Statistical- and image-noise effects on experimental spectrum of line-edge and line-width roughness

TL;DR: In this paper, the accuracy of estimated line edge roughness and line width roughness (LER and LWR) statistics is mostly determined by the noise inherent in experimental power spectral densities (PSDs), which is caused by the finiteness of a number of line segments used in analyses.
Journal ArticleDOI

Application of system identification techniques in efficient modelling of offshore structural response. Part I: Model development

TL;DR: In this paper, the response of an offshore structure exposed to Morison wave loading can be approximated by an equivalent finite-memory nonlinear system, which can then be used to determine the probability distribution of response extreme values with great efficiency.
Book ChapterDOI

On the Number of Solutions of Systems of Random Equations

TL;DR: A variety of statistical properties have been developed for the number of solutions of an equation as mentioned in this paper, including a variety of properties related to the probability of finding a solution to an equation.