1. (a) An input signal x[n] displayed in Figure 1(a) below is applied to an LTI system whose impulse response h[n] is given in Figure 1(b). Use convolution by superposition to find and sketch the output y[n] of the LTI system. ゃん[n] TX[n] +1 -3-2 -1 1. 2 3 1 2 (a) (b) Figure 1 (b) (i) Using the definition, find X(z), the z-transform of the signal x[n] = 6" u[n-1] %3D (ii) For the X(z) above, draw the pole/zero diagram and shade its ROC.

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ISBN:9780133923605
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Publisher:Robert L. Boylestad
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1. (a) An input signal x[n] displayed in Figure 1(a) below is applied to an LTI
system whose impulse response h[n] is given in Figure 1(b). Use convolution
by superposition to find and sketch the output y[n] of the LTI system.
aん[n]
+1
-3-2 -1
2 34
1
1
, n
n
-1
(a)
(b)
Figure 1
(b)
(i) Using the definition, find X(z), the z-transform of the signal
x[n] = 6" u[n-1]
(ii) For the X(z) above, draw the pole/zero diagram and shade its ROC.
Transcribed Image Text:1. (a) An input signal x[n] displayed in Figure 1(a) below is applied to an LTI system whose impulse response h[n] is given in Figure 1(b). Use convolution by superposition to find and sketch the output y[n] of the LTI system. aん[n] +1 -3-2 -1 2 34 1 1 , n n -1 (a) (b) Figure 1 (b) (i) Using the definition, find X(z), the z-transform of the signal x[n] = 6" u[n-1] (ii) For the X(z) above, draw the pole/zero diagram and shade its ROC.
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