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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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On the response of a class of self-excited oscillators to stochastic excitation

TL;DR: In this article, the response of a class of self-excited oscillators to white noise is considered, and the stationary Fokker-Planck equation is solved exactly to yield the stationary distribution, and from this the mean squared response and average frequency are obtained and used to find the power spectral density.
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Noise in measurements obtained by sampling

TL;DR: In this paper, simple signal processing tools are used to describe noise in sampled measurements, and particular attention is paid to aliasing and the modification of noise spectra by the sampling process.
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Estimating OSNR of equalised QPSK signals.

TL;DR: A technique to estimate the OSNR of an equalised QPSK signal is proposed and demonstrated and when combined with a single point calibration theOSNR of the input signal was estimated to within 0.5 dB.
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The non-Gaussian joint probability density function of slope and elevation for a nonlinear gravity wave field

TL;DR: In this article, an analytic expression for the non-Gaussian joint probability density function of slope and elevation for nonlinear gravity waves is derived, and various conditional and marginal density functions are also obtained through the joint density function.
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Sampling in a two-dimensional plane

TL;DR: In this article, the authors explore the trigonal method of mapping and compare the results with the rectangular as well as the theoretical values which should be obtained for a random surface, which is the conventional way to measure the two-dimensional geometry of a surface.