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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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Probability density and exceedance rate functions of locally Gaussian turbulence

TL;DR: In this article, a locally Gaussian model of turbulence velocities is proposed, which consists of the superposition of a slowly varying strictly Gaussian component representing slow temporal changes in the mean wind speed and a more rapidly varying locally GAussian turbulence component possessing a temporally fluctuating local variance.
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An evaluation on the peak value distribution using level crossings for non-Gaussian-type random signals with wide frequency band

TL;DR: A function is derived to evaluate theoretically the relationship between the expected number of signal crossings of a certain level and the number of peaks exceeding this level under the condition of Gaussian distribution, allowing the practical peak value distribution analysis of broadband non-Gaussian arbitrary random signals.
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Extreme peak value vessel response combinations with wide band spectra

TL;DR: In this paper, an extension to the standard peak value distribution for time histories possessing wide banded spectra is proposed, which allows the distribution of an associated variable to be calculated at the instant that the peak value occurs.
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A test for a stationary random process

TL;DR: In this paper, a test of whether a random signal is stationary can be made by comparing the actual fluctuations of the signal's mean square to those predicted from the power spectrum, assuming that the signal is not stationary.
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Equivalent noise charge for different impedance-matching schemes of the drift straw-tube and the amplifier

TL;DR: In this paper, five impedance-matching schemes for the drift straw-tube detector with a length of 2.5 m are studied and it is shown that ENC = 4000−5000 electrons for Cdet = 20−30 pF, which is good from the practical point of view, is achieved using the simple resistor connected in series to amplifier at the open far-end of the straw tube.