What is the sum of non-central chi-square PDF?

  • #1

Homework Statement


What is the PDF of the sum of L, i.i.d, non-central chi-square random variables.
The PDF of the non-central chi-square is:
fX(x)= ((1+k)*exp(-k))/(m) *exo(-(1+k)*x/(m)) * I_0(2*sqrt(k*x*(1+k)/m)).

where m is the average value of x, k is the LOS component.
I took the equation from "Digital communication over fading channel" book.

Homework Equations




The Attempt at a Solution

 

Answers and Replies

  • #2
tnich
Homework Helper
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I think you could find this quite easily using the moment generating function.
 

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