GATE EE

Continuous Time Signal Fourier Transform

Signals and Systems

(Past Years Questions)

Marks 1

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A function f(t) is shown in the figure. The Fourier transform F($$\mathrm\omega$$) of f(t) is ...
GATE EE 2014 Set 3
A signal is represented by $$$x\left(t\right)=\left\{\begin{array}{l}1\;\;\;\left|t\right|\;\;1\end{array}\right.$$$ The...
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 $$$x\left(t\right)=\left\{\begin{array}{l}e^{j10t}\;\;\;for\;\left|t\right|\leq1\\0\;\;\;\;...
GATE EE 2015 Set 2
A differentiable non constant even function x(t) has a derivative y(t), and their respective Fourier Transforms are X($$...
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
Let f(t) be a continuous time signal and let F($$\omega$$) be its Fourier Transform defined by $$F\left(\omega\right)=\i...
GATE EE 2014 Set 1
The Fourier transform of a signal h(t) is $$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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