1
GATE ECE 2016 Set 1
Numerical
+2
-0
A sequence x$$\left[ n \right]$$ is specified as $$\left[ {\matrix{ {x\left[ n \right]} \cr {x\left[ {n - 1} \right]} \cr } } \right] = {\left[ {\matrix{ 1 \cr 1 \cr } \,\matrix{ 1 \cr 0 \cr } } \right]^n}\left[ {\matrix{ 1 \cr 0 \cr } } \right]$$, for n $$ \ge $$2.
The initial conditions are x$$\left[ 0 \right]$$ = 1, x$$\left[ 1 \right]$$=1 and x$$\left[ n \right]$$=0 for n< 0. The value of x$$\left[ 12 \right]$$ is _____________________.
Your input ____
2
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+2
-0.6
The ROC (region of convergence) of the z-transform of a discrete-time signal is represented by the shaded region in the z-plane. If the signal $$x\left[ n \right] = \,{\left( {2.0} \right)^{\left| n \right|}}$$ , $$ - \infty < n < + \infty $$ then the ROC of its z-transform is represented by
A
GATE ECE 2016 Set 3 Signals and Systems - Discrete Time Signal Z Transform Question 4 English Option 1
B
GATE ECE 2016 Set 3 Signals and Systems - Discrete Time Signal Z Transform Question 4 English Option 2
C
GATE ECE 2016 Set 3 Signals and Systems - Discrete Time Signal Z Transform Question 4 English Option 3
D
GATE ECE 2016 Set 3 Signals and Systems - Discrete Time Signal Z Transform Question 4 English Option 4
3
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 21 English
A
2, 3
B
1/2, 3
C
1/2 , 1/3
D
2, 1/3
4
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 22 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 ݊
GATE ECE Subjects
EXAM MAP