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Recent questions tagged fouriertransform
0
votes
0
answers
1
GATE20134
The impulse response a the system is $h(t)$=$tu(t)$.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
(
9.2k
points)
gate2014ee3
evenfunctions
fouriertransform
0
votes
0
answers
3
GATE201439
A signal is represented by $x(t)=\begin{cases} 1 & t<1 \\ 0 & t>1 \end{cases}$ 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
(
9.2k
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 $60^0<\alpha <90^0$. If $rms$ value of the fundamental component is $50$ $V$, then $\alpha$ in degree is______________
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
periodicfunctions
fouriertransform
0
votes
0
answers
5
GATE2014135
Let $f(t)$ be continuous time signal and let $F(w)$be its Fourier Transform defined by $F(\omega )=\int_{\infty }^{\infty }f(t)e^{jwt} dt$ define $g(t)$ by $g(t)=\int_{\infty }^{\infty }f(u)e^{jut} dt$ What is the relationship between $f(t)$ ... function. $g(t)$ 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
(
9.2k
points)
gate2014ee1
fouriertransform
unitstepfunction
continuous 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
(
9.2k
points)
gate2014ee1
fourier
series
expansion
fouriertransform
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
(
9.2k
points)
gate2016ee1
fouriertransform
samplingtheorem
ztransform
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
(
9.2k
points)
gate2016ee1
unitstepfunction
fouriertransform
shiftingtheorems
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