Question: Consider the system shown below. 1. Using the z-transform approach, show that the impulse response, h(n), of the overall system is given by h(n)

Consider the system shown below. 1. Using the z-transform approach, show that

the impulse response, h(n), of the overall system is given by h(n)

Consider the system shown below. 1. Using the z-transform approach, show that the impulse response, h(n), of the overall system is given by h(n) = 6(n) 56(n - 1) - 1) M(n)=0(n-2)-8(n-1) x(n +, hz{n)=| u(n) |2. Determine the difference equation representation of the overall system that relates the output y(n) to the input r(n). 3. Is this system causal? BIBO stable? Explain clearly to receive full credit. 4. Determine the frequency response H(e) of the overall system. 5. Using MATLAB, provide a plot of this frequency response over 0

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