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Hi
If Xi is a normal random variable (mean = 0, var = 1) then Xi^2 has rayleigh distributiona and sum of K Xi^2 has chi-square distribution with K degree of freedom.
I know this distribution is used in spread spectrum communication and radar.
Whenever you encounter envelope detection you find the Rice/Rayleigh distribution.
When you need to work with multiple rvs of rice/rayleigh (comparing, ... )
you need the Chi Square distribution.
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