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==Part A== | ==Part A== | ||
Can the system be time invariant? | Can the system be time invariant? | ||
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| + | Lets test and find out: | ||
==Part B== | ==Part B== | ||
Revision as of 13:05, 10 September 2008
Part A
Can the system be time invariant?
Lets test and find out:
Part B
The system does a phase shift to the right by 1 unit and then multiplies the amplitude of the function by the square of total shift.
if Y[n] = u[n-1]
then in the function $ \delta[n-(k+1)] $ k must be equal to 0
we then multiply the amplitude by the square of the total shift (-1), which has no effect because it is the same as multiplying by 1.
We can finally solve and say that in order to produce Y[n], the input must be $ x(t) = u(t) $
