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GATE EE

Continuous Time Signal Fourier Transform

Signals and Systems

Previous Years Questions

Marks 1

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Let an input x(t) = 2 sin(10$$\pi$$t) + 5 cos(15$$\pi$$t) + 7 sin(42$$\pi$$t) + 4 cos(45$$\pi$$t) is passed through an L...
GATE EE 2022
A signal is represented by $$$x\left(t\right)=\left\{\begin{array}{l}1\;\;\;\left|t\right|\;<\;1\\0\;\;\;\left|t\righ...
GATE EE 2014 Set 3
A function f(t) is shown in the figure. The Fourier transform F($$\mathrm\omega$$) of f(t) is ...
GATE EE 2014 Set 3

Marks 2

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Suppose x1(t) and x2(t) have the Fourier transforms as shown below. Which one of the following statements is TRUE?...
GATE EE 2016 Set 1
Consider a signal defined by $$$x\left(t\right)=\left\{\begin{array}{l}e^{j10t}\;\;\;for\;\left|t\right|\leq1\\0\;\;\;\;...
GATE EE 2015 Set 2
Let f(t) be a continuous time signal and let F($$\omega$$) be its Fourier Transform defined by $$F\left(\omega\right)=\i...
GATE EE 2014 Set 1
A differentiable non constant even function x(t) has a derivative y(t), and their respective Fourier Transforms are X($$...
GATE EE 2014 Set 3
A 10 kHz even-symmetric square wave is passed through a bandpass filter with centre frequency at 30 kHz and 3 dB passban...
GATE EE 2014 Set 2
The Fourier transform of a signal h(t) is $$H\left(j\omega\right)=\left(2\cos\omega\right)\left(\sin2\omega\right)/\omeg...
GATE EE 2012
x(t) is a positive rectangular pulse from t = -1 to t = +1 with unit height as shown in the figure. The value of $$\int_...
GATE EE 2010

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