JPL's Wireless Communication Reference WebsiteChapter: Wireless Channels

where we insert the appropriate pdf of received wanted signal power and interfering signal power . These pdfs can for instance be derived from a Rician, Nakagami or Rayleigh distribution.
The joint interference signal p_{t} is the sum of the powers of each individual interfering signals. For independent fading and independently modulated signals, the pdf of the joint interference power is the convolution of the pdf of individual interference powers.
In the special case of a Rayleighfading wanted signal, the integral over y can be solved analytically: Inserting the exponentially distribution of wanted signal power, we get
So, after solving the integral over y, An elegant mathematical framework has been developed by interpreting the result as a Laplace transform of the pdf of joint interference power: for a wanted signal subject to Rayleigh fading, this probability can be expressed in the formwhere L{f,s} denotes the onesided Laplace transform of the function f at the point s.
SPEC  A special purposed embedded calculator (SPEC or spreadsheet) is available that evaluates the outage probability in a Rayleigh fading cellular channel, with path loss and shadowing. It also considers interference, manmade and AWG noise and delayed self interference. 
This approach can be applied to a Ricianfading wanted signal, using the series expansion
for the modified Bessel function I_{0}. This gives
Using the properties of the Laplace Transform, this can be written as
For both models, this probability can be expressed in the same (generalized) form
Table 1 gives the appropriate coefficients a_{i} and argument s_{0 }for various propagation models.
The probability of a signal outage at signaltointerference ratios sufficiently above 0 dB ( _{0} >> Ep_{t} ) is found from the behavior of the Laplace expression at small values for s. We expanding the Laplace transform into the McLaurin series
For Nakagami fading with integer m, this is gives the outage probability
For Rician fading, we find