1
GATE ECE 2024
MCQ (More than One Correct Answer)
+1
-0
For a causal discrete-time LTI system with transfer function
$H(z) = \frac{2z^2 + 3}{\left(z + \frac{1}{3}\right)\left(z - \frac{1}{3}\right)}$
which of the following statements is/are true?
2
GATE ECE 2020
MCQ (Single Correct Answer)
+1
-0.33
Which one of the following pole-zero plots corresponds to the transfer function of an LTI system characterized by the input-output difference equation given below?
$$ y[n]=\sum_{k=0}^3(-1)^k x[n-k] $$
A
B
C
D
3
GATE ECE 2018
MCQ (Single Correct Answer)
+1
-0.33
A discrete time all-pass system has two of its poles at
0.25$$\angle 0^\circ $$ and $$\angle 30^\circ $$. Which one of the following statements about the system is TRUE?
4
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider the sequence
$$x\left[ n \right]$$= $${a^n}u\left[ n \right] + {b^{\partial n}}u\left[ n \right]$$ , where u[n] denotes the unit step sequence and 0<$$\left| a \right| < \left| b \right| < 1.$$
The region of convergence (ROC) of the z-transform of $$\left[ n \right]$$ is
$$x\left[ n \right]$$= $${a^n}u\left[ n \right] + {b^{\partial n}}u\left[ n \right]$$ , where u[n] denotes the unit step sequence and 0<$$\left| a \right| < \left| b \right| < 1.$$
The region of convergence (ROC) of the z-transform of $$\left[ n \right]$$ is
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