6. The first-order difference equation,20y[n] – 18y[n – 1] = 20x[n], describes a discrete- time system initially at rest. a. Determine its impulse response h[n] b. With the calculated h[n], evaluate and sketch the output y[n] of the system when subjected to an input signal c. Perform the convolution x(t) * h(t) and sketch the output. Note that h(t) and x(t) are shown in Fig 2. x[n] = u[n] – u[n – 10] - hlt) a xlt) 大 Fig 2

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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6. The first-order difference equation,20y[n] – 18y[n – 1] = 20x[n], describes a discrete-
time system initially at rest.
a. Determine its impulse response h[n]
b. With the calculated h[n], evaluate and sketch the output y[n] of the system when
subjected to an input signal
c. Perform the convolution x(t) * h(t) and sketch the output. Note that h(t) and
x(t) are shown in Fig 2.
x[n] = u[n] – u[n – 10]
-
hlt)
a xlt)
大
Fig 2
Transcribed Image Text:6. The first-order difference equation,20y[n] – 18y[n – 1] = 20x[n], describes a discrete- time system initially at rest. a. Determine its impulse response h[n] b. With the calculated h[n], evaluate and sketch the output y[n] of the system when subjected to an input signal c. Perform the convolution x(t) * h(t) and sketch the output. Note that h(t) and x(t) are shown in Fig 2. x[n] = u[n] – u[n – 10] - hlt) a xlt) 大 Fig 2
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