n-1 The input to an LTI system is x n = u [n]and the corresponding output is y [n] = ()"*u [n+ 1]. Which of the following statement(s) are correct? O The system is causal O The pole-zero plot of H (z)is as follows: 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 -0.5 0.5 1 Real Part O The system is stable since the ROC of H (z) includes the unit circle. O The impulse response of the system is h (n] = 48 [n + 1] – 2(-)"u [n] O The z-transform of y n]is Y (z) = ROC < |z| < o0 4z Imaginary Part

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n-1
The input to an LTI system is x n
= u [n]and the corresponding output is y [n] = ()"*u [n+ 1]. Which of the following
statement(s) are correct?
O The system is causal
O The pole-zero plot of H (z)is as follows:
0.8
0.6
0.4
0.2
-0.2
-0.4
-0.6
-0.8
-1
-1
-0.5
0.5
1
Real Part
O The system is stable since the ROC of H (z) includes the unit circle.
O The impulse response of the system is h (n] = 48 [n + 1] – 2(-)"u [n]
O The z-transform of y n]is Y (z) =
ROC < |z| < o0
4z
Imaginary Part
Transcribed Image Text:n-1 The input to an LTI system is x n = u [n]and the corresponding output is y [n] = ()"*u [n+ 1]. Which of the following statement(s) are correct? O The system is causal O The pole-zero plot of H (z)is as follows: 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 -1 -1 -0.5 0.5 1 Real Part O The system is stable since the ROC of H (z) includes the unit circle. O The impulse response of the system is h (n] = 48 [n + 1] – 2(-)"u [n] O The z-transform of y n]is Y (z) = ROC < |z| < o0 4z Imaginary Part
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