Each student will need to solve the following questions, by using MATLAB or octave-online Question 1 a) The system y[n]=log(x[n]) is not stable. Why this system does not satisfy the specified property? b) The system y[n] = sin(2rx[n]) where x[n]=[0 1 2 3 4 0] is not invertible. Why this system does not satisfy the specified property? Question 2 For each of the following systems, state whether or not the system is linear, time invariant, causal, stable, and invertible. For each property you claim the system does not possess, construct a counter-argument using MATLAB or octave-online to demonstrate how the system violates the property in question. a) y[n] = x°[n] b) y[n] = nx[n]

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