Question: Define the random process U ( t ) = A U(t)=A where A A is uniform over [ 1 , 1 ] [1,1] . How
Define the random processU(t)=AU(t)=AwhereAAis uniform over[1,1][1,1].
How would one sketch a sample realization of this?? Can someone give me a simple idea so I could attempt my own definition?
I would then like to determine its temporal autocorrelation function and statistical correlation function.
R()=limT+1/TT/2T/2u(t+)t(t)dt.R()=limT+1TT/2T/2u(t+)t(t)dt.
Any other ideas on characteristics to determine are welcome! I was thinking of determining if the process is WSS/SSS? Ergodic?
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