Rician Distribution
Definition
The Rician distribution has the density function

with noncentrality parameter s ≥
0 and scale parameter σ > 0, for x >
0. I0 is the zero-order
modified Bessel function of the first kind. If x has
a Rician distribution with parameters s and σ,
then (x/σ)2 has
a noncentral chi-square distribution with two degrees of freedom and
noncentrality parameter (s/σ)2.
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Background
In communications theory, Nakagami distributions, Rician
distributions, and Rayleigh distributions are used
to model scattered signals that reach a receiver by multiple paths.
Depending on the density of the scatter, the signal will display different
fading characteristics. Rayleigh and Nakagami distributions are used
to model dense scatters, while Rician distributions model fading with
a stronger line-of-sight. Nakagami distributions can be reduced to
Rayleigh distributions, but give more control over the extent of the
fading.
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Parameters
See mle, dfittool.
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See Also
Continuous Distributions (Data)
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 | Rayleigh Distribution | | Student's t Distribution |  |
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