1
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The pole-zero diagram of a causal and stable discrete-time system is shown in the figure. The zero at the origin has multiplicity 4. The impulse response of the system is ℎ[n]. If ℎ[0] =1, we can conclude. GATE ECE 2015 Set 1 Signals and Systems - Discrete Time Signal Z Transform Question 20 English
A
h (n) is real for all n.
B
h (n) is purely imaginary for all n.
C
h (n) is real for only even n.
D
h (n) is purely imaginary for only odd n ݊
2
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
For the discrete-time system shown in the figure, the poles of the system transfer function are located at GATE ECE 2015 Set 1 Signals and Systems - Discrete Time Signal Z Transform Question 19 English
A
2, 3
B
1/2, 3
C
1/2 , 1/3
D
2, 1/3
3
GATE ECE 2014 Set 3
Numerical
+2
-0
The z-transform of the sequence x$$\left[ n \right]$$ is given by x(z)= $${1 \over {{{(1 - 2{z^{ - 1}})}^2}}}$$ , with the region of convergence $$\left| z \right| > 2$$. Then, $$x\left[ 2 \right]$$ is ____________________.
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4
GATE ECE 2014 Set 3
Numerical
+2
-0
Let $${H_1}(z) = {(1 - p{z^{ - 1}})^{ - 1}},{H_2}(z) = {(1 - q{z^{^{ - 1}}})^{ - 1}}$$ , H(z) =$${H_1}(z)$$ +r $${H_2}$$. The quantities p, q, r are real numbers. Consider , p=$${1 \over 2}$$, q=-$${1 \over 4}$$ $$\left| r \right|$$ <1. If the zero H(z) lies on the unit circle, the r = ____________________________.
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