GATE ECE 2016 Set 1 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

-0.3

A continuous -time function $$x\left( t \right)$$ is periodic with period $$T$$. The function is sampled uniformly with a sampling period $${T_s}$$. In which one of the following cases is the sampled signal periodic?

$$T\,\, = \,\,\sqrt 2 \,\,{T_s}$$

$$T\,\, = \,\,1.2T$$

Always

Never

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

-0.6

A first-order low-pass filter of time constant T is excited with different input signals (with zero initial conditions up to t = 0). Match the excitation signals X, Y, Z with the corresponding time responses for $$t\, \ge 0$$:
X: Impulse P: 1 $$ - {e^{ - t/T}}$$
Y: Unit step Q: t $$ - T(1 - {e^{ - t/T}})$$
Z: Ramp R: $${e^{ - t/T}}$$

$$X \to R,\,Y \to Q,\,\,Z \to P$$

$$X \to Q,\,Y \to P,\,\,Z \to R$$

$$X \to R,\,Y \to P,\,\,Z \to Q$$

$$X \to P,\,Y \to R,\,\,Z \to Q$$

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

-0.6

The Laplace transform of the casual periodic square wave of period T shown in the figure below is GATE ECE 2016 Set 1 Signals and Systems - Continuous Time Signal Laplace Transform Question 3 English

GATE ECE 2016 Set 1 Signals and Systems - Continuous Time Signal Laplace Transform Question 3 English

$$F\left( s \right) = {1 \over {1 + {e^{ - sT/2}}}}$$

$$F\left( s \right) = {1 \over {s\left[ {1 + {e^{{{sT} \over 2}}}} \right]}}$$

$$F\left( s \right) = {1 \over {s\left( {1 + {e^{ - sT}}} \right)}}$$

$$F\left( s \right) = {1 \over {1 - {e^{ - sT}}}}$$

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

-0.3

Which one of the following is an eight function of the class of all continuous-time, linear, time- invariant systems u(t) denotes the unit-step function?

$${e^{j{\omega _0}t}}u(t)$$

$$\cos ({\omega _0}t)$$

$${e^{j{\omega _0}t}}$$

$$\sin ({\omega _0}t)$$

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