1
GATE EE 2023
MCQ (Single Correct Answer)
+1
-0.33
The Fourier transform $$X(\omega)$$ of the signal $$x(t)$$ is given by
$$X(\omega ) = 1$$, for $$|\omega | < {W_0}$$
$$ = 0$$, for $$|\omega | > {W_0}$$
Which one of the following statements is true?
2
GATE EE 2017 Set 1
Numerical
+1
-0
Consider $$$g\left(t\right)=\left\{\begin{array}{l}t-\left\lfloor t\right\rfloor,\\t-\left\lceil t\right\rceil,\end{array}\right.\left.\begin{array}{r}t\geq0\\otherwise\end{array}\right\}$$$ where $$t\;\in\;R$$
Here, $$\left\lfloor t\right\rfloor$$ represents the largest integer less than or equal to t and $$\left\lceil t\right\rceil$$ denotes the smallest integer greater than or equal to t. The coefficient of the second harmonic component of the Fourier series representing g(t) is _________.
Here, $$\left\lfloor t\right\rfloor$$ represents the largest integer less than or equal to t and $$\left\lceil t\right\rceil$$ denotes the smallest integer greater than or equal to t. The coefficient of the second harmonic component of the Fourier series representing g(t) is _________.
Your input ____
3
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
For a periodic square wave, which one of the following statements is TRUE?
4
GATE EE 2011
MCQ (Single Correct Answer)
+1
-0.3
The fourier series expansion $$$f\left(t\right)\;=\;a_0\;+\;\sum_{n=1}^\infty a_n\cos\;n\omega t\;+\;b_n\sin\;n\omega t$$$ of the periodic
signal shown below will contain the following nonzero terms
![GATE EE 2011 Signals and Systems - Continuous Time Periodic Signal Fourier Series Question 22 English](https://gateclass.cdn.examgoal.net/examside/questions/81d023d604d4aa4923eef7dfb03b4c6764c1de29a22a4259d76c574c11a0f95b.jpg)
![GATE EE 2011 Signals and Systems - Continuous Time Periodic Signal Fourier Series Question 22 English](https://gateclass.cdn.examgoal.net/examside/questions/81d023d604d4aa4923eef7dfb03b4c6764c1de29a22a4259d76c574c11a0f95b.jpg)
Questions Asked from Continuous Time Periodic Signal Fourier Series (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits