1
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A periodic signal x(t) has a trigonometric Fourier series expansion $$$x\left(t\right)=a_0\;+\;\sum_{n=1}^\infty\left(a_n\cos\;n\omega_0t\;+\;b_n\sin\;n\omega_0t\right)$$$ If $$x\left(t\right)=-x\left(-t\right)=-x\left(t-\mathrm\pi/{\mathrm\omega}_0\right)$$, we can conclude that
A
$$a_n$$ are zero for all n and $$b_n$$ are zero for n even
B
$$a_n$$ are zero for all n and $$b_n$$ are zero for n odd
C
$$a_n$$ are zero for n even and $$b_n$$ are zero for n odd
D
$$a_n$$ are zero for n odd and $$b_n$$ are zero for n even
2
GATE ECE 2014 Set 2
Numerical
+1
-0
Consider the periodic square wave in the figure shown. GATE ECE 2014 Set 2 Signals and Systems - Representation of Continuous Time Signal Fourier Series Question 10 English The ratio of the power in the 7th harmonic to the power in the 5th harmonic for this waveform is closest in value to _______.
Your input ____
3
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
The trigonometric Fourier series for the waveform f(t) shown below contains GATE ECE 2010 Signals and Systems - Representation of Continuous Time Signal Fourier Series Question 11 English
A
only cosine terms and zero value for the dc component
B
only cosine terms and a positive value for the dc component
C
only cosine terms and a negative value for the dc component
D
only sine terms and a negative for the dc component
4
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3
A function is given by f(t) = sin2t +cos2t . Which of the following is true?
A
f has frequency components at 0 and $$1/2\mathrm\pi$$ Hz
B
f has frequency components at 0 and $$1/\mathrm\pi$$ Hz
C
f has frequency components at $$1/2\mathrm\pi$$ and $$1/\mathrm\pi$$ Hz
D
f has frequency components at 0, $$1/2\mathrm\pi$$ and $$1/\mathrm\pi$$ Hz
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