Mathematical Analysis of Random Noise

1944 Bell System Technical Journal 5,405 citations

Abstract

THIS paper deals with the mathematical analysis of noise obtained by passing random noise through physical devices. The random noise considered is that which arises from shot effect in vacuum tubes or from thermal agitation of electrons in resistors. Our main interest is in the statistical properties of such noise and we leave to one side many physical results of which Nyquist's law may be given as an example. <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup>

Keywords

Johnson–Nyquist noiseNoise (video)Shot noiseResistorRandom noiseNyquist–Shannon sampling theoremStatistical physicsMathematicsComputer scienceElectronic engineeringPhysicsElectrical engineeringEngineeringMathematical analysisArtificial intelligence

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Publication Info

Year
1944
Type
article
Volume
23
Issue
3
Pages
282-332
Citations
5405
Access
Closed

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Cite This

S. O. Rice (1944). Mathematical Analysis of Random Noise. Bell System Technical Journal , 23 (3) , 282-332. https://doi.org/10.1002/j.1538-7305.1944.tb00874.x

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DOI
10.1002/j.1538-7305.1944.tb00874.x