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 H 1 (z) y 1 (z) X(z) of the system in Figure, and determine the magnitudes and angles of the poles of H 1 (z) as a function of r for 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 H 2 (z) y 2 (z) X (z) related to H 1 (z) 1 r x n x n y n 1 r Part C 1 r x n y2 n 1 r

Question: 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

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

(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 to H₁(z)?

1+r x{n] x[n] y[n] 1-r Part C 1+r x[n] y2[n] 1-r

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