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

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 7

^{th}harmonic to the power in the 5^{th}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

4

GATE ECE 2009

MCQ (Single Correct Answer)

+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?Questions Asked from Representation of Continuous Time Signal Fourier Series (Marks 1)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE Subjects

Network Theory

Control Systems

Electronic Devices and VLSI

Analog Circuits

Digital Circuits

Microprocessors

Signals and Systems

Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform

Communications

Electromagnetics

General Aptitude