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Recent questions tagged fouriertransform
0
votes
0
answers
1
GATE20134
The impulse response a the system is $h(t)=t\:u(t).$ For an input $u(t1)$, the output is $\frac{t^2}{2}u(t)$ $\frac{t(t1)}{2}u(t1)$ $\frac{(t1)^2}{2}u(t1)$ $\frac{t^21}{2}u(t1)$
asked
Feb 12, 2017
in
Signals and Systems
by
piyag476
(
1.5k
points)
gate2013ee
fouriertransform
samplingtheorem
0
votes
0
answers
2
GATE2014335
A differentiable non constant even function $x(t)$ has a derivative $y(t)$, and their respective Fourier Transforms are $X(w)$ and $Y(w)$ . Which of the following statements is TRUE? $X(w)$ and $Y(w)$ are both real. $X(w)$ is real and $Y(w)$ is imaginary. $X(w)$ and $Y(w)$ are both imaginary. $X(w)$ is imaginary and $Y(w)$ is real.
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
evenfunctions
fouriertransform
0
votes
0
answers
3
GATE201439
A signal is represented by $x(t)=\begin{cases} 1 & \mid t \mid<1 \\ 0 & \mid t \mid >1 \end{cases}$ The Fourier transform of the convolved signal $y(t)$= $x(2t)*x(t/2)$ is $\frac{4}{\omega ^2} \sin(\frac{\omega }{2})sin(2\omega )$ $\frac{4}{\omega ^2} \sin(\frac{\omega }{2})$ $\frac{4}{\omega ^2} \sin(2\omega )$ $\frac{4}{\omega ^2} \sin^2\omega $
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
fouriertransform
convolution
0
votes
0
answers
4
GATE2014155
The figure shows one period of the output voltage of an inverter.$\alpha$ should be chosen such that $60^{\circ}<\alpha <90^{\circ}$. If $rms$ value of the fundamental component is $50V$, then $\alpha$ in degree is__________
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
periodicfunctions
fouriertransform
numericalanswers
0
votes
0
answers
5
GATE2014135
Let $f(t)$ be continuous time signal and let $F(w)$be its Fourier Transform defined by $F(\omega )=\displaystyle{}\int_{\infty }^{\infty }f(t)e^{j\omega t} dt$ define $g(t)$ by $g(t)=\displaystyle{}\int_{\infty }^{\infty }F(u)e^{jut} du$ What is the ... . $g(t)$ would be proportional to $f(t)$ only if $f(t)$ is a sinusoidal function. $g(t)$ would never be proportional to $f(t)$.
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
fouriertransform
unitstepfunction
continuousÂ time
signal
0
votes
0
answers
6
GATE2014126
Let g:$[0,\infty )\rightarrow [0,\infty )$ be a function defined by $g(x)=x[x]$, where $[x]$ represents the integer part of $x.($That is, it is the largest integer which is less than or equal to $x).$ The value of the constant term in the Fourier series expansion of $g(x)$ is _______
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
fourier
series
expansion
fouriertransform
numericalanswers
0
votes
0
answers
7
GATE2016127
Let $S=\sum_{n=0}^{\infty} n\alpha^{n}$ where $\alpha < 1$. The value of $\alpha$ in the range $0 < \alpha < 1$, such that $S=2 \alpha$ is _________.
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
fouriertransform
samplingtheorem
ztransform
numericalanswers
0
votes
0
answers
8
GATE201613
The Laplace Transform of $f(t)=e^{2t} \sin (5t)(ut)$ is $\frac{5}{s^{2}4s+29}$ $\frac{5}{s^{2}+5}$ $\frac{s2}{s^{2}4s+29}$ $\frac{5}{s +5}$
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
unitstepfunction
fouriertransform
shiftingtheorems
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