From the category archives:

Random Variables

Chi Square Random Variable

While trying to derive the theoretical bit error rate (BER) for BPSK modulation in a Rayleigh fading channel, I realized that I need to discuss chi square random variable prior.
What is chi-square random variable?
Let there be independent and identically distributed Gaussian random variables with mean and variance and we form a [...]

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Deriving PDF of Rayleigh random variable

In the post on Rayleigh channel model, we stated that a circularly symmetric random variable is of the form , where real and imaginary parts are zero mean independent and identically distributed (iid) Gaussian random variables. The magnitude which has the probability density,
is called a Rayleigh random variable. Further, the phase is [...]

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