Appendix B Probability Distributions In Communications

B.1 Uniform Distribution

A random variable uniformly distributed between a and b, where a < b, has a probability density function (PDF) given by

Image

The mean is given by

and the variance is given by

Image

B.2 Gaussian Distribution

The Gaussian distribution is ubiquitous throughout science and engineering. The Gaussain distribution is also called the normal distribution. A Gaussian random variable has a PDF given by

where μ is the mean and a2 is the variance. For zero mean and unity variance, the ...

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