Rayleigh distribution

[′rā·lē ‚dis·trə‚byü·shən]

(statistics)

A normal distribution of two uncorrelated variates with the same variance.

Rayleigh distribution

(mathematics)

A curve that yields a good approximation to the actual labour curves on software projects.

This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)

The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Rayleigh Distribution

The Rayleigh distribution of the probabilities of the random variable X is characterized by the probability density function

The distribution function is

The mathematical expectation is and the variance is DX = (4 - π)σ⁴/2. The maximum value of the density function is equal to and is reached when x= σ. Curves of the density function for various σ are shown in Figure 1.

Figure 1

The Rayleigh distribution is encountered in applications of probability theory to, for example, radio engineering. The distribution was introduced by Lord Rayleigh in 1880 in connection with the problem of interference of harmonic oscillations with spiral phases.

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References in periodicals archive

It illustrates the Rayleigh distribution which is slightly similar to ZF approach, outperforms the Rician channel model.

Broadcast Cognitive Radio with Dirty Paper Coding over Nakagami-m Fading Channel

To the best of our knowledge, the effects of the no wireless radio fading models other than the Rayleigh distribution have been considered in the performance of the adaptive networks [1]-[4], while it is a very important issue.

Channel Fading Effect Analysis on Diffusion Cooperation Strategies over Adaptive Networks

Since we model each interfering signal with Rayleigh distribution, with PDF expressed as

SSC Reception over Kappa-Mu Shadowed Fading Channels in the Presence of Multiple Rayleigh Interferers

[[alpha].sub.n,1] and [[alpha].sub.n,2] are the channel coefficients following Rayleigh distribution, and [[xi].sub.i] is the Gaussian noise, which follows Gaussian distribution with zero mean and variance [N.sub.0]/2.

Design and Performance Analysis of MISO-SRMR-DCSK System over Rayleigh Fading Channels

As a consequence, the norm of [DELTA]C then approximately follows a Rayleigh distribution. Hence, we fitted a Rayleigh distribution to the results, obtaining as output the desired PDF of [DELTA]C.

Experimental Verification of a Simple Method for Accurate Center of Gravity Determination of Small Satellite Platforms

, histogram stretching is done with respect to Rayleigh distribution

Generic image quality assessment of portable fundus camera photographs

Weibull Rayleigh distribution: Theory and applications.

DOUBLE WEIBULL DISTRIBUTION: PROPERTIES AND IT'S APPLICATION

For an ideal narrowband process, [f.sub.s](S) can be approximated by the Rayleigh distribution [21]; the analytical expression is given as

An Analytical Solution for Predicting the Vibration-Fatigue-Life in Bimodal Random Processes

Wu, Lee and Hou (2007) explored the maximum likelihood estimation of life performance under Rayleigh distribution, and developed a test procedure for evaluating the performance of the product.

A novel Bayesian algorithm for evaluation lifetime performance of exponential model