1
GATE ECE 2018
MCQ (Single Correct Answer)
+1
-0.33
Let the input be u and the output be y of a system, and the other parameters are real constants. Identify which among the following systems is not a linear system:
A
GATE ECE 2018 Signals and Systems - Representation of Continuous Time Signal Fourier Series Question 2 English Option 1
B
$$y\left( t \right) = \int\limits_0^t {{e^{\alpha \left( {t - \tau } \right)}}} \beta u\left( \tau \right)d\tau $$
C
y = au + b, b $$ \ne $$ 0
D
y = au
2
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
3
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 8 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 ____
4
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 9 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
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