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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

Estimating confidence intervals for the gain and phase of frequency response functions

TL;DR: In this article, the difference between inputs that are stochastic or fured is made explicit, and expressions for the variance of gain and phase estimators for a fixed input are derived.
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A mathematical comparison of simple models of Johnson noise and shot noise

TL;DR: In this paper, simple physical models of Johnson noise and shot noise are compared within the mathematical framework of continuous Markov process theory and the comparison may help illuminate differences or misconceptions that might be fuelling the current debate over whether Johnson noise can be subsumed under a single unified theory.
Journal ArticleDOI

The use of amplitude distributions in practical data assessment problems

TL;DR: In this paper, a method for fitting experimental amplitude distribution data to the functional relationship C = 1 − exp (− aR b ), where C is the probability that the amplitude is less than R is presented.
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Probability density of the differential phase difference in applications to passive wireless surface acoustic wave sensing

TL;DR: In this paper, the probability density function (pdf) of the differential phase difference (DPD) in the radio frequency (RF) pulse-burst perturbed by Gaussian noise at the coherent receiver is discussed.
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Novel Applications of Acoustic Backscatter to Biological Measurements

TL;DR: In this article, a coherent summation of the signals from successive transmissions is used to develop a stable absolute phase measurement as a function of range and time, and it is shown that this summation is equivalent to raising the ratio of coherent to incoherent signal energy as successive targets are included in the observed volume.