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Recent questions in Signals and Systems
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1
Gate 2000 signals and systems
Hanuma
120
points
Hanuma
asked
Mar 16, 2021
0
votes
0
answers
2
GATE Electrical 2020 | Question: 10
Consider a linear time-invariant system whose input $\text{r(t)}$ and output $\text{y(t)}$ are related by the following differential equation: $\frac{d^{2}y\left ( t \right )}{dt^{2}}+4y\left ( t \right )=6r\left ( t \right )$ The poles of this system are at $+2j,-2j$ $+2,-2$ $+4,-4$ $+4j,-4j$
Consider a linear time-invariant system whose input $\text{r(t)}$ and output $\text{y(t)}$ are related by the following differential equation:$$\frac{d^{2}y\left ( t \rig...
go_editor
1.9k
points
go_editor
asked
Feb 28, 2020
Signals and Systems
gate2020-ee
signals-and-systems
linear-time-invariant-system
+
–
1
votes
0
answers
3
Gate EE-2014
For a peridic square wave ,which one of the following statements is TRUE? 1). The fourieF series coefficients do not exist 2).The Fourier series coefficients exist but the reconstruction converges at most point. I know the correct answer is 2). But I need some explanation.
For a peridic square wave ,which one of the following statements is TRUE?1). The fourieF series coefficients do not exist2).The Fourier series coefficients exist but the ...
Shaurya khare
130
points
Shaurya khare
asked
Jul 8, 2018
0
votes
0
answers
4
GATE Electrical 2013 | Question: 41
The impulse response of a continuous time system is given by $h(t)=\delta (t-1)+\delta (t-3).$ The value of the step response at $t=2$ is $0$ $1$ $2$ $3$
The impulse response of a continuous time system is given by $h(t)=\delta (t-1)+\delta (t-3).$ The value of the step response at $t=2$ is$0$$1$$2$$3$
piyag476
1.5k
points
piyag476
asked
Feb 11, 2017
Signals and Systems
gate2013-ee
impulse-response
step-response
+
–
0
votes
0
answers
5
GATE Electrical 2013 | Question: 17
For a periodic signal $v(t) = 30 \sin100t +10 \cos 300t + 6 \sin (500t+\pi /4)$, the fundamental frequency in $rad/s$ is $100$ $300$ $500$ $1500$
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$$1500$
piyag476
1.5k
points
piyag476
asked
Feb 11, 2017
Signals and Systems
gate2013-ee
periodicity
sinusoidal
+
–
0
votes
0
answers
6
GATE Electrical 2013 | Question: 6
Two systems with impulse responses $h_1(t)$ and $h_2(t)$ are connected in cascade.then the overall impulse response of the cascaded system is given by Product of $h_1(t)$ and $h_2(t)$ Sum of $h_1(t)$ and $h_2(t)$ convolution of $h_1(t)$ and $h_2(t)$ subtraction of $h_2(t)$ from $h_1(t)$
Two systems with impulse responses $h_1(t)$ and $h_2(t)$ are connected in cascade.then the overall impulse response of the cascaded system is given byProduct of $h_1(t)$ ...
piyag476
1.5k
points
piyag476
asked
Feb 11, 2017
Signals and Systems
gate2013-ee
convolution
multiplication
addition
+
–
0
votes
0
answers
7
GATE Electrical 2013 | Question: 4
The impulse response a the system is $h(t)=t\:u(t).$ For an input $u(t-1)$, the output is $\dfrac{t^2}{2}u(t) \\$ $\dfrac{t(t-1)}{2}u(t-1) \\$ $\dfrac{(t-1)^2}{2}u(t-1) \\$ $\dfrac{t^2-1}{2}u(t-1)$
The impulse response a the system is $h(t)=t\:u(t).$ For an input $u(t-1)$, the output is$\dfrac{t^2}{2}u(t) \\$$\dfrac{t(t-1)}{2}u(t-1) \\$$\dfrac{(t-1)^2}{2}u(t-1) \\$$...
piyag476
1.5k
points
piyag476
asked
Feb 11, 2017
Signals and Systems
gate2013-ee
fourier-transform
sampling-theorem
+
–
0
votes
0
answers
8
GATE Electrical 2014 Set 3 | Question: 34
A sinusoid $x(t)$ of unknown frequency is sampled by an impulse train of period $20$ $ms$. The resulting sample train is next applied to an ideal lowpass filter with a cutoff at $25$ $Hz$. The filter output is seen to be a sinusoid of frequency $20$ $Hz$. This means that $x(t)$ has a frequency of $10$ $Hz$ $60$ $Hz$ $30$ $Hz$ $90$ $Hz$
A sinusoid $x(t)$ of unknown frequency is sampled by an impulse train of period $20$ $ms$. The resulting sample train is next applied to an ideal lowpass filter with a cu...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-3
impulse-train
low-pass-filter
+
–
0
votes
0
answers
9
GATE Electrical 2014 Set 3 | Question: 32
A series $RLC$ circuit is observed at two frequencies. At $ω_1=1 \text{ krad/s}$, we note that source voltage $V_1=100\angle 0^{\circ} \: V$ results in a current $I_1=0.03\angle 31^{\circ}$ $A$. At $w_2=2 \text{ krad/s}$ ... $R=50\Omega$ ; $L=50 mH$ ,$C=5 \mu F$ $R=50\Omega$ ; $L=5 mH$ ,$C=50 \mu F$
A series $RLC$ circuit is observed at two frequencies. At $ω_1=1 \text{ krad/s}$, we note that source voltage $V_1=100\angle 0^{\circ} \: V$ results in a current $I_1=0....
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-3
rc-filter
rl-filter
+
–
0
votes
0
answers
10
GATE Electrical 2014 Set 3 | Question: 33
A continuous-time $LTI$ system with system function $H(w)$ has the following pole-zero plot. For this system, which of the alternatives is $TRUE$? $\mid H(0)\mid > \mid H(w)\mid ;\mid w\mid > 0$ $\mid H(w) \mid$ has multiple maxima, at $w_1$ ... $\mid H(w)\mid =$ constant; $-\infty < w< \infty$
A continuous-time $LTI$ system with system function $H(w)$ has the following pole-zero plot. For this system, which of the alternatives is $TRUE$?$\mid H(0)\mid \mid H(w...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-3
pole-zero-plot
linear-time-invariant-system
+
–
0
votes
0
answers
11
GATE Electrical 2014 Set 3 | Question: 35
A differentiable non constant even function $x(t)$ has a derivative $y(t)$, and their respective Fourier Transforms are $X(\omega)$ and $Y(\omega)$. Which of the following statements is TRUE? $X(\omega)$ and $Y(\omega)$ ... imaginary. $X(\omega)$ and $Y(\omega)$ are both imaginary. $X(\omega)$ is imaginary and $Y(\omega)$ is real.
A differentiable non constant even function $x(t)$ has a derivative $y(t)$, and their respective Fourier Transforms are $X(\omega)$ and $Y(\omega)$. Which of the followin...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-3
even-functions
fourier-transform
+
–
0
votes
0
answers
12
GATE Electrical 2014 Set 3 | Question: 20
The two signals $S1$ and $S2$, shown in figure, are applied to $Y$ and $X$ deflection plates of an oscilloscope. The waveform displayed on the screen is
The two signals $S1$ and $S2$, shown in figure, are applied to $Y$ and $X$ deflection plates of an oscilloscope.The waveform displayed on the screen is
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-3
oscilloscope
even-functions
+
–
0
votes
0
answers
13
GATE Electrical 2014 Set 3 | Question: 10
For the signal $f(t)=3 \sin8 \pi t+6 \sin 12\pi t+ \sin14\pi t$ , the minimum sampling frequency (in $Hz$) satisfying the Nyquist criterion is _________.
For the signal $f(t)=3 \sin8 \pi t+6 \sin 12\pi t+ \sin14\pi t$ , the minimum sampling frequency (in $Hz$) satisfying the Nyquist criterion is _________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-3
sampling-frequency
stability
numerical-answers
+
–
0
votes
0
answers
14
GATE Electrical 2014 Set 3 | Question: 9
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 $y(t)$= $x(2t)*x(t/2)$ ... $\dfrac{4}{\omega ^2} \sin(2\omega ) \\$ $\dfrac{4}{\omega ^2} \sin^2\omega $
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)...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-3
fourier-transform
convolution
+
–
0
votes
0
answers
15
GATE Electrical 2014 Set 2 | Question: 34
An input signal $x(t)=2+5 \sin(100\pi t)$ is sampled with a sampling frequency of $400$ $Hz$ ... where, $N$ represents the number of samples per cycle. The output $y(n)$ of the system under steady state is $0$ $1$ $2$ $5$
An input signal $x(t)=2+5 \sin(100\pi t)$ is sampled with a sampling frequency of $400$ $Hz$ and applied to the system whose transfer function is represented by $$\dfrac...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-2
transfer-function
sampling-per-cycle
+
–
0
votes
0
answers
16
GATE Electrical 2014 Set 2 | Question: 10
Consider an $LTI$ system with impulse response $h(t)=e^{-5t}u(t)$ . If the output of the system is $y(t)=e^{-3t}u(t)-e^{-5t}u(t)$ then the input, $x(t)$, is given by $e^{-3t}u(t)$ $2e^{-3t}u(t)$ $e^{-5t}u(t)$ $2e^{-5t}u(t)$
Consider an $LTI$ system with impulse response $h(t)=e^{-5t}u(t)$ . If the output of the system is $y(t)=e^{-3t}u(t)-e^{-5t}u(t)$ then the input, $x(t)$, is given by$e^{...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-2
impulse-response
lti-system
+
–
0
votes
0
answers
17
GATE Electrical 2014 Set 1 | Question: 55
The figure shows one period of the output voltage of an inverter.$\alpha$ should be chosen such that $60^{\circ}<\alpha <90^{\circ}$. If $rms$ value of the fundamental component is $50V$, then $\alpha$ in degree is__________
The figure shows one period of the output voltage of an inverter.$\alpha$ should be chosen such that $60^{\circ}<\alpha <90^{\circ}$. If $rms$ value of the fundamental c...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-1
periodic-functions
fourier-transform
numerical-answers
+
–
0
votes
0
answers
18
GATE Electrical 2014 Set 1 | Question: 34
Let $X(z)=\dfrac{1}{1-z^{-3}}$ be the $Z$ – transform of a causal signal $x[n]$ Then, the values of $x[2]$ and $x[3]$ are $0$ and $0$ $0$ and $1$ $1$ and $0$ $1$ and $1$
Let $X(z)=\dfrac{1}{1-z^{-3}}$ be the $Z$ – transform of a causal signal $x[n]$ Then, the values of $x $ and $x[3]$ are$0$ and $0$$0$ and $1$$1$ and $0$$1$ and $1$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-1
z-transform
sausality
+
–
0
votes
0
answers
19
GATE Electrical 2014 Set 1 | Question: 35
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 $g(t)$ ... $f(t)$ only if $f(t)$ is a sinusoidal function. $g(t)$ would never be proportional to $f(t)$.
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...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-1
fourier-transform
unit-step-function
continuous time
signal
+
–
0
votes
0
answers
20
GATE Electrical 2014 Set 1 | Question: 33
The function shown in the figure can be represented as $u(t)-u(t-T)+\dfrac{(t-T)}{T}u(t-T)-\frac{(t-2T)}{T}u(t-2T) \\$ $u(t)+\dfrac{t}{T}u(t-T)-\dfrac{t}{T}u(t-2T) \\$ $u(t)-u(t-T)+\dfrac{(t-T)}{T}u(t)-\dfrac{(t-2T)}{T}u(t) \\$ $u(t)+\dfrac{(t-T)}{T}u(t-T)-2\dfrac{(t-2T)}{T}u(t-2T)$
The function shown in the figure can be represented as$u(t)-u(t-T)+\dfrac{(t-T)}{T}u(t-T)-\frac{(t-2T)}{T}u(t-2T) \\$$u(t)+\dfrac{t}{T}u(t-T)-\dfrac{t}{T}u(t-2T) \\$$u(t)...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-1
impulse-function
unit-step-function
+
–
0
votes
0
answers
21
GATE Electrical 2014 Set 1 | Question: 26
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 _______
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 whic...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-1
fourier
series
expansion
fourier-transform
numerical-answers
+
–
0
votes
0
answers
22
GATE Electrical 2014 Set 1 | Question: 10
For a periodic square wave, which one of the following statements is TRUE? The Fourier series coefficients do not exist. The Fourier series coefficients exist but the reconstruction converges at no point. The Fourier series ... the reconstruction converges at most points. The Fourier series coefficients exist and the reconstruction converges at every point.
For a periodic square wave, which one of the following statements is TRUE?The Fourier series coefficients do not exist.The Fourier series coefficients exist but the recon...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-1
square-wave
periodic-function
fourier
series
coefficients
+
–
0
votes
0
answers
23
GATE Electrical 2014 Set 1 | Question: 9
$x(t)$ is nonzero only for $T_x<t<{T}'x$ , and similarly, $y(t)$ is non zero 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 ... $T_x+T_y<t<{T}'_x+{T}'_y$ $z(t)$ is nonzero for $t>{T}'_x+{T}'_y$
$x(t)$ is nonzero only for $T_x<t<{T}'x$ , and similarly, $y(t)$ is non zero only for $T_y<t<{T}'y$. Let $z(t)$ be convolution of $x(t)$ and $y(t).$ Which one of the fol...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-1
convolution
interval
+
–
0
votes
0
answers
24
GATE Electrical 2014 Set 1 | Question: 4
Let $X(s)=\dfrac{3s+5}{s^2+10s+21}$ be the Laplace Transform of a signal $x(t)$. Then, $x(0^+) $is $0$ $3$ $5$ $21$
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$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-1
laplace-transform
transfer-function
+
–
0
votes
0
answers
25
GATE Electrical 2015 Set 2 | Question: 35
The $z$-Transform of a sequence $x[n]$ is given as $X(z)=2z+4-4/z+3/z^{2}$. If $y[n]$ is the first difference of $x[n]$, then $Y(z)$ is given by $2z+2-8/z+7/z^{2}-3/z^{3}$ $-2z+2-6/z+1/z^{2}-3/z^{3}$ $-2z-2+8/z-7/z^{2}+3/z^{3}$ $4z-2-8/z-1/z^{2}+3/z^{3}$
The $z$-Transform of a sequence $x[n]$ is given as $X(z)=2z+4-4/z+3/z^{2}$. If $y[n]$ is the first difference of $x[n]$, then $Y(z)$ is given by$2z+2-8/z+7/z^{2}-3/z^{3}$...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2015-ee-2
sequence
complex-frequency-domain-representation
+
–
0
votes
0
answers
26
GATE Electrical 2015 Set 2 | Question: 34
For linear time invariant systems, that are Bounded Input Bounded Output stable, which one of the following statements is TRUE? The impulse response will be integrable, but may not be absolutely integrable. The unit impulse response will have finite support. The unit step response will be absolutely integrable. The unit step response will be bounded
For linear time invariant systems, that are Bounded Input Bounded Output stable, which one of the following statements is TRUE?The impulse response will be integrable, bu...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2015-ee-2
impulse-response
unit-step-response
+
–
0
votes
0
answers
27
GATE Electrical 2015 Set 2 | Question: 29
Consider a signal defined by $x(t)= \begin{cases} e^{j10 t} & \text{for } \mid t \mid \leq 1 \\ 0& \text{for } \mid t \mid > 1\end{cases}$ Its Fourier Transform is $\dfrac{2 \sin (\omega -10)}{\omega - 10}\\$ ... $\dfrac{2 \sin \omega}{\omega - 10} \\$ $e^{j10 \omega }\dfrac{2 \sin\omega }{\omega }$
Consider a signal defined by$x(t)= \begin{cases} e^{j10 t} & \text{for } \mid t \mid \leq 1 \\ 0& \text{for } \mid t \mid 1\end{cases}$Its Fourier Transform is$\dfrac...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2015-ee-2
fourier-analysis
causal-system
+
–
0
votes
0
answers
28
GATE Electrical 2015 Set 1 | Question: 35
Consider a discrete time signal given by $x[n]= (-0.25)^{n} u[n]+(0.5)^{n} u [-n-1]$ 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 ... origin The annular region between the two circles, both centered at origin and having radii $0.25$ and $0.5$ The entire $Z$ plane.
Consider a discrete time signal given by$x[n]= (-0.25)^{n} u[n]+(0.5)^{n} u [-n-1]$The region of convergence of its $Z$-transform would beThe region inside the circle of ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2015-ee-1
discrete-time-signal
convergence
+
–
0
votes
0
answers
29
GATE Electrical 2015 Set 1 | Question: 28
The signum function is given by $sgn(x)= \begin{cases} \dfrac{x}{ \mid x \mid }; x \neq 0& \\ 0;x=0& \end{cases}$ The Fourier series expansion of $sgn (\cos (t) )$ has Only sine terms with all harmonics. Only cosine terms with all harmonics. Only sine terms with even numbered harmonics. Only cosine terms with odd numbered harmonics.
The signum function is given by $sgn(x)= \begin{cases} \dfrac{x}{ \mid x \mid }; x \neq 0& \\ 0;x=0& \end{cases}$ The Fourier series expansion of $sgn (\cos (t) )$ hasO...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2015-ee-1
signum-function
fourier-series-expansion
+
–
0
votes
0
answers
30
GATE Electrical 2015 Set 1 | Question: 9
A moving average function is given by $y(t) = \dfrac{1}{T} \displaystyle \int_{t-T}^{t} u(\tau ) d \tau$. If the input $u$ is a sinusoidal signal of frequency $\dfrac{1}{2T}Hz$ then in steady state, the output $y$ will lag $u$ (in degree) by __________ .
A moving average function is given by $y(t) = \dfrac{1}{T} \displaystyle \int_{t-T}^{t} u(\tau ) d \tau$. If the input $u$ is a sinusoidal signal of frequency $\dfrac{1}{...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2015-ee-1
steady-state
sinusoidal-signal
numerical-answers
+
–
0
votes
0
answers
31
GATE Electrical 2016 Set 2 | Question: 28
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^{-2|t|}$ denotes the impulse response. For the system shown above ... can be uniquely reconstructed from its samples, is $2B_{1}$ $2(B_{1}+B_{2})$ $4(B_{1}+B_{2})$ $\infty$
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...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-2
even-functions
impulse-response
exponential-function
+
–
0
votes
0
answers
32
GATE Electrical 2016 Set 2 | Question: 18
Consider a linear time-invariant 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 _________.
Consider a linear time-invariant 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 v...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-2
linear
translation-invariant
convolution
impulse-response
numerical-answers
+
–
0
votes
0
answers
33
GATE Electrical 2016 Set 2 | Question: 5
Suppose the maximum frequency in a band-limited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.
Suppose the maximum frequency in a band-limited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-2
high-pass-filter
low-pass-filter
continuous-time-signal
numerical-answers
+
–
0
votes
0
answers
34
GATE Electrical 2016 Set 1 | Question: 35
The output of a continuous-time, linear time-invariant system is denoted by $T\left\{x(t)\right\}$ where $x(t)$ is the input signal. A signal $z(t)$ is called eigen-signal of the system $T$, when $T\left\{z(t)\right\}=\gamma z(t)$ ... $\cos(t)$ is not $\cos(t)$ and $\sin(t)$are both eigen-signals with identical eigenvalues
The output of a continuous-time, linear time-invariant system is denoted by $T\left\{x(t)\right\}$ where $x(t)$ is the input signal. A signal $z(t)$ is called eigen-signa...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
impulse-response
step-response
convolution
+
–
0
votes
0
answers
35
GATE Electrical 2016 Set 1 | Question: 34
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)$ ... $x_{1}(t)$ and $x_{2}(t)$ are imaginary but $x_{1}(t) x_{2}(t)$ is real
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...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
mirror
signal
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–
0
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0
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36
GATE Electrical 2016 Set 1 | Question: 27
Let $S=\sum_{n=0}^{\infty} n\alpha^{n}$ where $\mid \alpha \mid < 1$. The value of $\alpha$ in the range $0 < \alpha < 1$, such that $S=2 \alpha$ is _________.
Let $S=\sum_{n=0}^{\infty} n\alpha^{n}$ where $\mid \alpha \mid < 1$. The value of $\alpha$ in the range $0 < \alpha < 1$, such that $S=2 \alpha$ is _________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
fourier-transform
sampling-theorem
z-transform
numerical-answers
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0
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0
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37
GATE Electrical 2016 Set 1 | Question: 8
Consider a continuous-time system with input $x(t)$ and output $y(t)$ given by $y(t)=x(t) \cos (t)$. This system is Linear and time-invariant Non-linear and time-invariant Linear and time-varying Non-linear and time-varying
Consider a continuous-time system with input $x(t)$ and output $y(t)$ given by $y(t)=x(t) \cos (t)$.This system isLinear and time-invariantNon-linear and time-invariantLi...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
sampling-theorem
scaling-properties
causal-system
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0
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0
answers
38
GATE Electrical 2016 Set 1 | Question: 3
The Laplace Transform of $f(t)=e^{2t} \sin (5t)(ut)$ is $\dfrac{5}{s^{2}-4s+29} \\ $ $\dfrac{5}{s^{2}+5} \\ $ $\dfrac{s-2}{s^{2}-4s+29} \\$ $\dfrac{5}{s +5}$
The Laplace Transform of $f(t)=e^{2t} \sin (5t)(ut)$ is $\dfrac{5}{s^{2}-4s+29} \\ $$\dfrac{5}{s^{2}+5} \\ $$\dfrac{s-2}{s^{2}-4s+29} \\$$\dfrac{5}{s +5}$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
unit-step-function
fourier-transform
shifting-theorems
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