1
GATE EE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
A differentiable non constant even function x(t) has a derivative y(t), and their respective Fourier Transforms are X($$\omega$$) and Y($$\omega$$). Which of the following statements is TRUE?
A
X($$\omega$$) and Y($$\omega$$) are both real.
B
X($$\omega$$) is real and Y($$\omega$$) is imaginary.
C
X($$\omega$$) and Y($$\omega$$) are both imaginary.
D
X($$\omega$$) is imaginary and Y($$\omega$$) is real.
2
GATE EE 2014 Set 3
Numerical
+1
-0
For the signal f(t) = 3 sin8$$\mathrm\pi$$t + 6sin12$$\mathrm\pi$$t + sin14$$\mathrm\pi$$t, the minimum sampling frequency (in Hz) satisfying the Nyquist criterion is _________.
Your input ____
3
GATE EE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
A sinusoid x(t) of unknown frequency is sampled by an impulse train of period 20 ms. The resulting sample train is next applied to an ideal lowpass filter with a cutoff at 25 Hz. The filter output is seen to be a sinusoid of frequency 20 Hz. This means that x(t) has a frequency of
A
10 Hz
B
60 Hz
C
30 Hz
D
90 Hz
4
GATE EE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
A continuous-time LTI system with system function H($$\omega$$) has the following pole-zero plot. For this system, which of the alternatives is TRUE? GATE EE 2014 Set 3 Signals and Systems - Miscellaneous Question 3 English
A
$$\left|H\left(0\right)\right|\;>\;\left|H\left(\omega\right)\right|;\;\left|\omega\right|\;>0$$
B
$$\left|H\left(\omega\right)\right|$$ has multiple maxima,at $$\omega_1\;and\;\omega_2$$
C
$$\left|H\left(0\right)\right|\;<\;\left|H\left(\omega\right)\right|;\;\left|\omega\right|\;>0$$
D
$$\left|H\left(\omega\right)\right|=\;cons\;\tan\;t;\;-\infty\;<\;\omega\;<\;\infty$$
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