3.7. The input to a causal linear time-invariant system is x[n] = u[−n − 1] + (})" u[n]. - The z-transform of the output of this system is -12-1 Y(z) = (1 − ½¿¯¹) (1 + z−¹) * (a) Determine H(z), the z-transform of the system impulse response. Be sure to specify the region of convergence. (b) What is the region of convergence for Y(z)? (c) Determine y[n].
3.7. The input to a causal linear time-invariant system is x[n] = u[−n − 1] + (})" u[n]. - The z-transform of the output of this system is -12-1 Y(z) = (1 − ½¿¯¹) (1 + z−¹) * (a) Determine H(z), the z-transform of the system impulse response. Be sure to specify the region of convergence. (b) What is the region of convergence for Y(z)? (c) Determine y[n].
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![3.7. The input to a causal linear time-invariant system is
x[n] = u[−n − 1] + (})" u[n].
-
The z-transform of the output of this system is
-12-1
Y(z) =
(1 − ½¿¯¹) (1 + z−¹) *
(a) Determine H(z), the z-transform of the system impulse response. Be sure to specify
the region of convergence.
(b) What is the region of convergence for Y(z)?
(c) Determine y[n].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7eaa3e1d-2427-4f34-b02c-cda7719eb621%2F926a7b2c-526b-4e48-bce5-79dc183ede4d%2Fljyz15_processed.png&w=3840&q=75)
Transcribed Image Text:3.7. The input to a causal linear time-invariant system is
x[n] = u[−n − 1] + (})" u[n].
-
The z-transform of the output of this system is
-12-1
Y(z) =
(1 − ½¿¯¹) (1 + z−¹) *
(a) Determine H(z), the z-transform of the system impulse response. Be sure to specify
the region of convergence.
(b) What is the region of convergence for Y(z)?
(c) Determine y[n].
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