EE 315 – TERM PROJECT
Third mini project
Due on 10/05/2013
Guidelines:
.
Submit a Hard copy and upload a soft copy in WebCT, including Matlab codes.
The report should contain only results, discussions, and a conclusion. Matlab programs need to be explained through comment lines. Note that Matlab programs taken or modified from internet sources will not be accepted.
Part 1: Verification of the central limit theorem
– Use Matlab to verify the central limit theorem for the sum of N independent and identically distributed Rayleigh RVs (with a=0 and different values of b) for N=5, 10 and 20. Comment on the fit to the approximate Gaussian pdf for different values of b and N. Show the curve plots of the pdf’s (not the bar plots).
Part 2: Goodness of fit
– Use the appropriate measure(s) to compute the difference and to test the goodness of fit between some of the cdf’s/pdf’s of the sum of N independent Rayleigh RVs and the approximate Gaussian cdf’s/pdf’s obtained in Part 1.