Define rayleigh and rician distributions. when is each used for modeling wireless systems?

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25-08-2022
Social Studies

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Define rayleigh and rician distributions. when is each used for modeling wireless systems?

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tutorconsortium33 tutorconsortium33 · Answer 1 · 2022-09-06T11:34:37+02:00

The purpose of modeling a wireless channel as a Rayleigh fading channel is to simulate non-line-of-sight transmission. Because a direct path between two devices does not exist in this case, transmission occurs only through reflections.

Rayleigh distribution:

The Rayleigh distribution is a continuous probability distribution for nonnegative-valued random variables in probability theory and statistics.
It corresponds to the chi distribution with two degrees of freedom up to rescaling.
Lord Rayleigh inspired the name of the distribution.
When the overall magnitude of a vector is related to its directional components, a Rayleigh distribution is frequently observed. When wind velocity is analyzed in two dimensions, the Rayleigh distribution naturally arises.
If each component is uncorrelated, and normally distributed with equal variance and zero mean, the overall wind speed (vector magnitude) will have a Rayleigh distribution.

Rice distribution:

The Rice distribution or Rician distribution (or, less commonly, Ricean distribution) is the probability distribution of the magnitude of a circularly-symmetric bivariate normal random variable with a non-zero mean in probability theory (noncentral).
Stephen O. Rice inspired the name (1907–1986).

Therefore, the purpose of modeling a wireless channel as a Rayleigh fading channel is to simulate non-line-of-sight transmission. Because a direct path between two devices does not exist in this case, transmission occurs only through reflections.

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