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Recent questions tagged convolution
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1
GATE20136
Two systems with impulse responses $h_1$(t) and $h_2$(t) are connected in cascade.then the overall impulse response of the cascaded system is given by Product of $h_1$(t) and $h_2$(t) Sum of $h_1$(t) and $h_2$(t). convolution of $h_1$(t) and $h_2$(t). subtraction of $h_1$(t) and $h_2$(t).
asked
Feb 12, 2017
in
Signals and Systems
by
piyag476
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1.5k
points)
gate2013ee
convolution
multiplication
addition
0
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0
answers
2
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
3
GATE201419
x(t) is nonzero only for $T_x$<t<${T}'x$ , and similarly, y(t) is nonzero only for $T_y$<t<${T}'y$. Let z(t) be convolution of x(t) and y(t). Which one of the following statements is TRUE? z(t) can be nonzero over an unbounded interval. z(t) is nonzero for t<($T_x$+$T_y$) z(t) is zero outside of $T_x$+$T_y$<t<${T}'_x+{T}'_y$ z(t) is nonzero for t>${T}'_x+{T}'_y$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
convolution
interval
0
votes
0
answers
4
GATE2016218
Consider a linear timeinvariant system with transfer function $H(s)=\frac{1}{(s+1)}$ If the input is $\cos(t)$ and the steady state output is $A \cos(t+\alpha)$ then the value of $A$ is _________.
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
linear translationinvariant
convolution
impulseresponse
0
votes
0
answers
5
GATE2016135
The output of a continuoustime, linear timeinvariant system is denoted by $T\left\{x(t)\right\}$ where $x(t)$ is the input signal. A signal $z(t)$ is called eigensignal of the system $T$, when $T\left\{z(t)\right\}=\gamma z(t)$ where $\gamma$ is ... eigenvalues $\sin(t)$ is an eigensignal but $\cos(t)$ is not $\cos(t)$ and $\sin(t)$are both eigensignals with identical eigenvalues
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
impulseresponse
stepresponse
convolution
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