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Hot questions in Signals and Systems
0
votes
0
answers
1
GATE2015235
The $z$Transform of a sequence $x[n]$ is given as $X(z)=2z+44/z+3/z^{2}$. If $y[n]$ is the first difference of $x[n]$, then $Y(z)$ is given by $2z+28/z+7/z^{2}3/z^{3}$ $2z+26/z+1/z^{2}3/z^{3}$ $2z2+8/z7/z^{2}+3/z^{3}$ $4z28/z1/z^{2}+3/z^{3}$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
sequence
complexfrequencydomainrepresentation
0
votes
0
answers
2
GATE2015135
Consider a discrete time signal given by $x[n]= (0.25)^{n} u[n]+(0.5)^{n} u [n1]$ The region of convergence of its $Z$transform would be The region inside the circle of radius $0.5$ and centered at origin The region outside the circle ... centered at origin The annular region between the two circles, both centered at origin and having radii $0.25$ and $0.5$ The entire $Z$ plane.
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
discretetimesignal
convergence
0
votes
0
answers
3
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 $h_2(t)$ from $h_1(t)$
asked
Feb 12, 2017
in
Signals and Systems
by
piyag476
(
1.5k
points)
gate2013ee
convolution
multiplication
addition
0
votes
0
answers
4
GATE201435
A function f(t) is shown in the figure. The Fourier transform F(ω) of f(t) is real and even function of $ω$. real and odd function of $ω$. imaginary and odd function of $ω$ imaginary and even function of $ω$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
evenfunction
oddfunction
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
continuous time
signal
0
votes
0
answers
6
GATE2015229
Consider a signal defined by $x(t)= = \begin{cases} e^{j10 t} & \text{for} t\leq 1 \\ 0& \text{for } t > 1 \end{cases}$ Its Fourier Transform is $\frac{2 \sin (\omega 10)}{\omega  10}$ $2e^{j10}\frac{ \sin (\omega 10)}{\omega  10}$ $\frac{2 \sin \omega}{\omega  10}$ $e^{j10 \omega }\frac{2 \sin\omega }{\omega }$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
fourieranalysis
causalsystem
0
votes
0
answers
7
GATE201414
Let $X(s)=\dfrac{3s+5}{s^2+10s+21}$ be the Laplace Transform of a signal $x(t)$. Then, $x(0^+) $is $0$ $3$ $5$ $21$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
laplacetransform
transferfunction
0
votes
0
answers
8
GATE2014333
A continuoustime $LTI$ system with system function $H(w)$ has the following polezero plot. For this system, which of the alternatives is $TRUE$? $H(0)> H(w);w> 0$ H(w) has multiple maxima, at $w_1$ and $w_2$ $H(0)< H(w);w> 0$ H(w)=constant; $\infty < w< \infty$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
polezeroplot
lineartimeinvariantsystem
0
votes
0
answers
9
GATE201317
For a periodic signal $v(t) = 30 \sin100t +10 \cos 300t + 6 \sin (500t+\pi /4)$, the fundamental frequency in $rad/s$ is $100$ $300$ $500$ $1500$
asked
Feb 12, 2017
in
Signals and Systems
by
piyag476
(
1.5k
points)
gate2013ee
periodicity
sinusoidal
0
votes
0
answers
10
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
11
GATE2014210
Consider an $LTI$ system with impulse response $h(t)=e^{5t}u(t)$ . If the output of the system is $y(t)=e^{3t}u(t)e^{5t}u(t)$ then the input, $x(t)$, is given by $e^{3t}u(t)$ $2e^{3t}u(t)$ $e^{5t}u(t)$ $2e^{5t}u(t)$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
impulseresponse
ltisystem
0
votes
0
answers
12
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
(
9.3k
points)
gate2016ee1
impulseresponse
stepresponse
convolution
0
votes
0
answers
13
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
14
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
0
votes
0
answers
15
GATE201625
Suppose the maximum frequency in a bandlimited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
highpassfilter
lowpassfilter
continuoustimesignal
numericalanswers
0
votes
0
answers
16
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
(
9.3k
points)
gate2016ee2
linear
translationinvariant
convolution
impulseresponse
numericalanswers
0
votes
0
answers
17
GATE2016210
Let $f(x)$ be a real, periodic function satisfying $f(x)=f(x)$. The general form of its Fourier series representation would be $f(x)=a_{0}+\sum_{k=1}^{\infty}a_{k}\cos(kx)$ $f(x)=\sum_{k=1}^{\infty}b_{k}\sin(kx)$ $f(x)=a_{0}+\sum_{k=1}^{\infty}a_{2k}\cos(kx)$ $f(x)=\sum_{k=0}^{\infty}a_{2k+1}\sin(2k+1)x$
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
fourierseriescoefficient
harmonics
dirichletconditions
0
votes
0
answers
18
GATE201618
Consider a continuoustime system with input $x(t)$ and output $y(t)$ given by $y(t)=x(t) \cos (t)$. This system is Linear and timeinvariant Nonlinear and timeinvariant Linear and timevarying Nonlinear and timevarying
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
samplingtheorem
scalingproperties
causalsystem
0
votes
0
answers
19
GATE2016228
Let $x_{1}(t)\leftrightarrow X_{1}(\omega )$ and $x_{2}(t)\leftrightarrow X_{2}(\omega )$ be two signals whose Fourier Transforms are as shown in the figure below. In the figure, $h(t)=e^{2t}$ denotes the impulse response. For the system shown above, the minimum sampling ... $2B_{1}$ $2(B_{1}+B_{2})$ $4(B_{1}+B_{2})$ $\infty$
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
evenfunctions
impulseresponse
exponentialfunction
0
votes
0
answers
20
GATE2016134
Suppose $x_{1}(t)$ and $x_{2}(t)$ have the Fourier transforms as shown below. Which one of the following statements is TRUE? $x_{1}(t)$ and $x_{2}(t)$ are complex and $x_{1}(t) x_{2}(t)$is also complex with nonzero imaginary part $x_{1}(t)$ and $x_{2}(t)$ ... but $x_{1}(t) x_{2}(t)$ is real $x_{1}(t)$ and $x_{2}(t)$ are imaginary but $x_{1}(t) x_{2}(t)$ is real
asked
Jan 30, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
mirror
signal
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