1
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 2 English Option 1
B
GATE ECE 2016 Set 3 Signals and Systems - Discrete Time Signal Z Transform Question 2 English Option 2
C
GATE ECE 2016 Set 3 Signals and Systems - Discrete Time Signal Z Transform Question 2 English Option 3
D
GATE ECE 2016 Set 3 Signals and Systems - Discrete Time Signal Z Transform Question 2 English Option 4
2
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Consider the signal $$\,x\left( t \right)$$ $$\,\,\, = \,\,\,\cos \left( {6\pi t} \right)\,\, + \,\,\sin \left( {8\pi t} \right),$$ where $$\,t$$ is in seconds. The Nyquist sampling rate (in samples/second) for the signal $$y\left( t \right)\, = x\,\,\left( {2t + 5} \right)$$ is
A
8
B
12
C
16
D
32
3
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+2
-0.6
The direct form structure of an FIR (finite impulse response) filter is shown in the figure. GATE ECE 2016 Set 3 Signals and Systems - Transmission of Signal Through Discrete Time Lti Systems Question 4 English

The filter can be used to approximate a

A
low-pass filter
B
high-pass filter
C
band-pass filter
D
band-stop filter
4
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
The number that least fits this set: (324, 441, 97 and 64) is ________.
A
324
B
441
C
97
D
64
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