32-1 2. the output obtained When the z-transform of an input to an LTI system is X(z)=; 2-2 is y[n] =12 a[n-1]. (un]. (a
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32-1 2. the output obtained When the z-transform of an input to an LTI system is X(z)=; 2-2 is y[n] =12 a[n-1]. (un]. (a
32-1 2. the output obtained When the z-transform of an input to an LTI system is X(z)=; 2-2 is y[n] =12 a[n-1]. (un]. (a) Find Y(z), the z-transform of the output y[n]. (6 Marks) (b) If it is known that the above system is causal, find H(2), the system function of the system. (5 Marks) (c) Draw the pole-zero plot of H(z). Show the ROC (region of convergence) on the pole-zero plot. (4 Marks) (d) Find a CCDE (constant coefficient difference equation) for the above system. (4 Marks) (e) Find h[n], the impulse response of the above system. (6 Marks)
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