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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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Turbulence in Thermal and Material Transport

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Statistical analysis of fading of a single down-coming wave

TL;DR: In this paper, the amplitude distribution of a single wave reflected from the F -region of the ionosphere is analyzed and it is shown that it is Rayleigh only in the case of rapid fading, whereas for slow and quasi-periodic fading it is found to represent what can be termed as an M -type.
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A statistical assessment of synoptic D-region partial reflection data

TL;DR: In this paper, an estimator is derived which depends only on the specular-to-scattered power ratio in a Rice distribution, which is derived from experimental amplitude distributions and how to assess the probable error associated with it when the data consist of a limited number of independent samples.
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Choix entre les différentes méthodes quadratiques d’estimation du spectre de puissance

TL;DR: In this article, a comparison of quadratiques d'estimation du spectre de puissance sont comparees, a duree totale d'observation donnee, sur la base de la matrices de la forme quadratique associee.
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The defect of toral Laplace eigenfunctions and Arithmetic Random Waves

TL;DR: In this article, the authors studied the defect distribution of toral Laplace eigenfunctions restricted to shrinking balls of radius above the Planck scale, in either random Gaussian scenario ("Arithmetic Random Waves"), or deterministic eigen functions averaged w.r.t. the spatial variable.