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Rice Distribution

P(Z) = {Z\over\sigma^2} \mathop{\rm exp}\nolimits \left({-{Z...
...\sigma^2}}\right)I_0\left({Z\vert V\vert\over\sigma^2}\right),

where $I_0(z)$ is a Modified Bessel Function of the First Kind and $Z > 0$. For a derivation, see Papoulis (1962). For $\vert V\vert$ = 0, this reduces to the Rayleigh Distribution.

See also Rayleigh Distribution


Papoulis, A. The Fourier Integral and Its Applications. New York: McGraw-Hill, 1962.

© 1996-9 Eric W. Weisstein