9. time system: Consider the parallel form structure in the figure implementing a causal discrete- x[n] y[n] -0.5 2 1/3 z-1 a) Write the transfer function H(z) of the overall system in parallel form. b) Draw the signal flow graph of a single Direct Form 2 structure that implements the same H(z). Label the coefficients and draw arrows where appropriate.
9. time system: Consider the parallel form structure in the figure implementing a causal discrete- x[n] y[n] -0.5 2 1/3 z-1 a) Write the transfer function H(z) of the overall system in parallel form. b) Draw the signal flow graph of a single Direct Form 2 structure that implements the same H(z). Label the coefficients and draw arrows where appropriate.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
![9.
Consider the parallel form structure in the figure implementing a causal discrete-
time system:
x[n]
y[n]
-0.5
1/3
a) Write the transfer function H(z) of the overall system in parallel form.
b) Draw the signal flow graph of a single Direct Form 2 structure that implements the same H(z).
Label the coefficients and draw arrows where appropriate.
c) Suppose all coefficients are quantized (rounded) to the nearest tenth. Write the transfer
functions for both implementations (parallel and DF II).
2.
N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51f48371-17cd-4538-91d4-b2eff301600e%2F805c8735-8b3e-42b7-97a2-4bf1725607c4%2Fngvr4h_processed.png&w=3840&q=75)
Transcribed Image Text:9.
Consider the parallel form structure in the figure implementing a causal discrete-
time system:
x[n]
y[n]
-0.5
1/3
a) Write the transfer function H(z) of the overall system in parallel form.
b) Draw the signal flow graph of a single Direct Form 2 structure that implements the same H(z).
Label the coefficients and draw arrows where appropriate.
c) Suppose all coefficients are quantized (rounded) to the nearest tenth. Write the transfer
functions for both implementations (parallel and DF II).
2.
N
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