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)?

Transcribed Image Text:

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