1
GATE ECE 2017 Set 1
+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. The ratio of the power in the 7th harmonic to the power in the 5th harmonic for this waveform is closest in value to _______.
3
GATE ECE 2010
+1
-0.3
The trigonometric Fourier series for the waveform f(t) shown below contains 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
+1
-0.3
The Fourier series of a real periodic function has only

P. Cosine terms if it is even

Q. Sine terms if it is even

R. Cosine terms if it odd

S. Sine terms if it is odd

Which of the above statement are correct?
A
P and S
B
P and R
C
Q and S
D
Q and R
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics
EXAM MAP
Joint Entrance Examination