GATE ECE 2009 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2009

MCQ (Single Correct Answer)

-0.3

A function is given by f(t) = sin²t +cos2t . Which of the following is true?

f has frequency components at 0 and $$1/2\mathrm\pi$$ Hz

f has frequency components at 0 and $$1/\mathrm\pi$$ Hz

f has frequency components at $$1/2\mathrm\pi$$ and $$1/\mathrm\pi$$ Hz

f has frequency components at 0, $$1/2\mathrm\pi$$ and $$1/\mathrm\pi$$ Hz

GATE ECE 2009

MCQ (Single Correct Answer)

-0.6

Given that F(s) is the one-sided Laplace transform of f(t), the Laplace transform of $$\int\limits_0^t {f\left( \tau \right)\,d\tau } $$ is

$$sF\left( s \right) - f\left( 0 \right)$$

$$\,{1 \over s}F\left( s \right)\,$$

$$\int\limits_0^s {F\left( \tau \right)d\tau } $$

$${1 \over s}\left[ {F\left( s \right) - f\left( 0 \right)} \right]$$

GATE ECE 2009

MCQ (Single Correct Answer)

-0.6

The 4-point Discrete Fourier Transform (DFT) of a discrete time sequence $$\left\{ {1,\,0,\,2,\,3} \right\}$$ is

$$\left[ {0,\, - 2 + 2j,\,2,\, - 2 - 2j} \right]$$

$$\left[ {2,\,2 + 2j,\,6,\,2\, - 2j} \right]$$

$$\left[ {6,\,1 - 3j,\,2,\,1 + 3j} \right]$$

$$\left[ {6,\, - 1 + 3j,\,0,\, - 1\, - 3j} \right]$$

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