(Solution) - Consider the discrete time system depicted in Figure a Write -(2025 Original AI-Free Solution)

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Consider the discrete-time system depicted in Figure,
(a) Write the set of difference equations represented by the flow graph of Figure.
(b) Determine the system function H1(z) = y1(z)/X(z) of the system in Figure, and determine the magnitudes and angles of the poles of H1(z) as a function of r for ? 1 < r < 1.
(c) Figure shows a different flow graph obtained from the flow graph of Figure by moving the delay elements to the opposite top branch. How is the system function H2(z) = y2(z)/ X(z) related toH1(z)?