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Rayleigh fading is a statistical model for the effect of a propagation environment on a radio signal, such as that used by wireless devices.. Rayleigh fading models assume that the magnitude of a signal that has passed through such a transmission medium (also called a communication channel) will vary randomly, or fade, according to a Rayleigh distribution — the radial component of the sum of ...
The distribution is named after Lord Rayleigh (/ ˈ r eɪ l i /). [1] A Rayleigh distribution is often observed when the overall magnitude of a vector in the plane is related to its directional components. One example where the Rayleigh distribution naturally arises is when wind velocity is analyzed in two dimensions.
Rayleigh distribution; Rayleigh fading; Rayleigh law on low-field magnetization; Rayleigh length; Rayleigh number, a dimensionless number for a fluid associated with buoyancy driven flow; Rayleigh quotient; Rayleigh–Ritz method; Plateau–Rayleigh instability explains why a falling stream of fluid breaks up into smaller packets
The principle of similitude is a supplement to the scientific method advocated by John Strutt (Lord Rayleigh) (1842–1919) that requires that any suggested scientific law be examined for its relationship to similar laws. The principle of similitude is very often used in scientific studies. For example, the study of blood flow known as ...
By multiplying both sides of the equation by and dividing by the scalar , it is possible to express the eigenvalue problem as follow: = = for m = 1, 2, 3, ..., n. In the previous equation it is also possible to observe that the numerator is proportional to the potential energy while the denominator depicts a measure of the kinetic energy.
The equation is named after Lord Rayleigh, who introduced it in 1880. [2] The Orr–Sommerfeld equation – introduced later, for the study of stability of parallel viscous flow – reduces to Rayleigh's equation when the viscosity is zero. [3] Rayleigh's equation, together with appropriate boundary conditions, most often poses an eigenvalue ...
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Rayleigh waves have a speed slightly less than shear waves by a factor dependent on the elastic constants of the material. [1] The typical speed of Rayleigh waves in metals is of the order of 2–5 km/s, and the typical Rayleigh speed in the ground is of the order of 50–300 m/s for shallow waves less than 100-m depth and 1.5–4 km/s at ...