Question: Create a shortcode in Matlab that calculates the reverse transformation Z of the signal. Use the created code to calculate the input of the signal

Create a shortcode in Matlab that calculates the reverse transformation Z of the signal. Use the created code to calculate the input of the signal for: X(z)=(4-1/5z)/[(1-8/15z)+1/15z] + (3+3/20z)/[(1-9/20z)+1/20z]. Show graphically poles and zeros, convergence zone. Calculate the output of the system if h(n)=2^n u(n) + u(n+1).

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