

Subject:
Statistical Average
Category: Science > Math Asked by: chishmishdeezga List Price: $5.00 
Posted:
19 Sep 2006 07:25 PDT
Expires: 19 Oct 2006 07:25 PDT Question ID: 766571 
how do u implement statistical average for a sinusoid e.g i want to implement process y=(1/sqrt(N))*sum(cos(wd*cos(alphan')*t+phin'*ones(1,Ns))); where alphan is 1 by N random mumber Ns=5000; t=[0:Ns1]*Ts Ts= sampling period. phin is again random number 1 by N after summation i get y as 1 by Ns RV which is as expected. Bu tthis is just a one sample. its mean is 0 and variance turns out to be nearly 0.5 but due to random nature, we should have ensemble avg loop=10 for i=1:loop y(i,:)=(1/sqrt(N))*sum(cos(wd*cos(alphan')*t+phin'*ones(1,Ns))); end ymean=mean(y) i believe this is how ensemble calculated but why does variance change... should it change and if yes how to get variance 0.5 as a single sample... help 

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