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Most viewed questions in Networks, Signals and Systems
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121
GATE ECE 2014 Set 1 | Question: 19
A continuous, linear time-invariant filter has an impulse response $h(t)$ described by $h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{cases}$ When a constant input of value $5$ is applied to this filter, the steady state output is ________.
A continuous, linear time-invariant filter has an impulse response $h(t)$ described by $$h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{...
Milicevic3306
16.0k
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133
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Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
steady-state
network-solution-methods
+
–
1
votes
0
answers
122
GATE ECE 2015 Set 3 | Question: 31
The $ABCD$ parameters of the following $2$-port network are $\begin{bmatrix}3.5 + j2 & 20.5 \\ 20.5 & 3.5-j2 \end{bmatrix} \\$ $\begin{bmatrix}3.5 +j2 & 30.5 \\ 0.5&3.5-j2 \end{bmatrix} \\$ $\begin{bmatrix}10 &2+j0 \\2+j0 &10 \end{bmatrix} \\$ $\begin{bmatrix}7+j4 &0.5 \\ 30.5&7-j4 \end{bmatrix} $
The $ABCD$ parameters of the following $2$-port network are$\begin{bmatrix}3.5 + j2 & 20.5 \\ 20.5 & 3.5-j2 \end{bmatrix} \\$$\begin{bmatrix}3.5 +j2 & 30.5 \\ 0.5&3.5-j2 ...
Milicevic3306
16.0k
points
130
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Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-3
two-port-network
network-solution-methods
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–
0
votes
0
answers
123
GATE ECE 2015 Set 1 | Question: 45
The pole-zero diagram of a casual and stable discrete-time system is shown in the figure. The zero at the origin has multiplicity $4$. The impulse response of the system is $h[n]$. If $h[0]=1$, we can conclude $h[n]$ is real for all $n$ $h[n]$ is purely imaginary for all $n$ $h[n]$ is real for only even $n$ $h[n]$ is purely imaginary for only odd $n$
The pole-zero diagram of a casual and stable discrete-time system is shown in the figure. The zero at the origin has multiplicity $4$. The impulse response of the system ...
Milicevic3306
16.0k
points
130
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-1
continuous-time-signals
poles-and-zeros
+
–
1
votes
0
answers
124
GATE ECE 2020 | Question: 28
The current $I$ in the given network is $0 \: A$ $2.38\angle -96.37^{\circ}A$ $2.38\angle143.63^{\circ}A$ $2.38\angle-23.63^{\circ}A$
The current $I$ in the given network is $0 \: A$$2.38\angle -96.37^{\circ}A$$2.38\angle143.63^{\circ}A$$2.38\angle-23.63^{\circ}A$
go_editor
1.9k
points
128
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
network-solution-methods
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0
votes
0
answers
125
GATE ECE 2015 Set 1 | Question: 30
The damping ratio of a series RLC circuit can be expressed as $\frac{R^2C}{2L} \\$ $\frac{2L}{R^2C} \\$ $\frac{R}{2} \sqrt{\frac{C}{L}} \\$ $\frac{2}{R} \sqrt{\frac{L}{C}}$
The damping ratio of a series RLC circuit can be expressed as$\frac{R^2C}{2L} \\$$\frac{2L}{R^2C} \\$$\frac{R}{2} \sqrt{\frac{C}{L}} \\$$\frac{2}{R} \sqrt{\frac{L}{C}}$
Milicevic3306
16.0k
points
128
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Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-1
network-solution-methods
rlc-circuits
+
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0
votes
0
answers
126
GATE ECE 2013 | Question: 18
Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system? All the poles of the system must lie on the left side of the $j\omega$ axis Zeros of the system can lie anywhere in the $s$-plane All the poles must ... $\mid s \mid =1$ All the roots of the characteristic equation must be located on the left side of the $j\omega$ axis
Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system? All the poles of the system must lie on the left side of the $j\omeg...
Milicevic3306
16.0k
points
128
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2013-ec
continuous-time-signals
linear-time-invariant-systems
+
–
0
votes
0
answers
127
GATE ECE 2016 Set 1 | Question: 10
A continuous-time sinusoid of frequency $33 Hz$ is multiplied with a periodic Dirac impulse train of frequency $46Hz$. The resulting signal is passed through an ideal analog low-pass filter with a cutoff frequency of $23Hz$. The fundamental frequency (in $Hz$) of the output is _______
A continuous-time sinusoid of frequency $33 Hz$ is multiplied with a periodic Dirac impulse train of frequency $46Hz$. The resulting signal is passed through an ideal ana...
Milicevic3306
16.0k
points
127
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-1
numerical-answers
continuous-time-signals
to-be-tagged
+
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0
votes
0
answers
128
GATE ECE 2020 | Question: 52
$X\left ( \omega \right )$ is the Fourier transform of $x(t)$ shown below. The value of $\int_{-\infty }^{\infty }\mid X \left ( \omega \right ) \mid ^{2}d \omega$ (rounded off to two decimal places) is ____________
$X\left ( \omega \right )$ is the Fourier transform of $x(t)$ shown below. The value of $\int_{-\infty }^{\infty }\mid X \left ( \omega \right ) \mid ^{2}d \omega$ (round...
go_editor
1.9k
points
126
views
go_editor
asked
Feb 13, 2020
Continuous-time Signals
gate2020-ec
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
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0
votes
0
answers
129
GATE ECE 2019 | Question: 32
The block diagram of a system is illustrated in the figure shown, where $X(s)$ is the input and $Y(s)$ is the output. The transfer function $H(s)=\dfrac{Y(s)}{X(s)}$ is $H(s)=\frac{s^{2}+1}{s^{3}+s^{2}+s+1}$ $H(s)=\frac{s^{2}+1}{s^{3}+2s^{2}+s+1}$ $H(s)=\frac{s+1}{s^{2}+s+1}$ $H(s)=\frac{s^{2}+1}{2s^{2}+1}$
The block diagram of a system is illustrated in the figure shown, where $X(s)$ is the input and $Y(s)$ is the output. The transfer function $H(s)=\dfrac{Y(s)}{X(s)}$ is$H...
Arjun
6.6k
points
126
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Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
network-solution-methods
transfer-function
+
–
0
votes
0
answers
130
GATE ECE 2015 Set 2 | Question: 17
Let the signal ݂$f(t) = 0$ outside the interval $[T_{1},T_{2}]$, where ܶ$T_{1}$ and ܶ$T_{2}$ are finite. Furthermore, $\mid f(t) \mid < \infty$ ... ݆$j\Omega$ axis a parallel strip not containing the ݆$j\Omega$ axis the entire $s$- plane a half plane containing the ݆$j\Omega$ axis
Let the signal ݂$f(t) = 0$ outside the interval $[T_{1},T_{2}]$, where ܶ$T_{1}$ and ܶ$T_{2}$ are finite. Furthermore, $\mid f(t) \mid < \infty$. The region of converge...
Milicevic3306
16.0k
points
126
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
network-solution-methods
laplace-transform
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0
votes
0
answers
131
GATE ECE 2014 Set 2 | Question: 6
Norton’s theorem states that a complex network connected to a load can be replaced with an equivalent impedance in series with a current source in parallel with a voltage source in series with a voltage source in parallel with a current source
Norton’s theorem states that a complex network connected to a load can be replaced with an equivalent impedancein series with a current source ...
Milicevic3306
16.0k
points
126
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Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-2
network-solution-methods
nortons
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0
votes
0
answers
132
GATE ECE 2015 Set 1 | Question: 51
In the system shown in Figure (a), $m(t)$ is a low-pass signal with bandwidth $W$ Hz. The frequency response of the band-pass filter $H(f)$ is shown in Figure (b). If it is desired that the output signal $z(t)=10x(t)$, the maximum value of $W$ (in Hz) should be strictly less than _____________.
In the system shown in Figure (a), $m(t)$ is a low-pass signal with bandwidth $W$ Hz. The frequency response of the band-pass filter $H(f)$ is shown in Figure (b). If it ...
Milicevic3306
16.0k
points
124
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-1
numerical-answers
signals-and-systems
continuous-time-signals
+
–
0
votes
0
answers
133
GATE ECE 2019 | Question: 42
Consider a unity feedback system, as in the figure shown, with an integral compensator $\dfrac{K}{s}$ and open-loop transfer function $G(s)=\dfrac{1}{s^{2}+3s+2}$ where $K>0.$ The positive value of $K$ for which there are exactly two poles of the unity feedback system on the $j\omega$ axis is equal to ________ (rounded off to two decimal places).
Consider a unity feedback system, as in the figure shown, with an integral compensator $\dfrac{K}{s}$ and open-loop transfer function$$G(s)=\dfrac{1}{s^{2}+3s+2}$$where $...
Arjun
6.6k
points
123
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
numerical-answers
feedback-systems
network-solution-methods
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–
0
votes
0
answers
134
GATE ECE 2012 | Question: 48
With $10\:V$ dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed: $1\: \Omega$ connected at port B draws a current of $3\:A$ $2.5\: \Omega$ connected at port B draws a current of $2\:A$ With $10\: V$ dc connected at ... $\frac{3}{7}\: A$ $\frac{5}{7}\: A$ $1\: A$ $\frac{9}{7}\: A$
With $10\:V$ dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:$1\: \Omega$ connected at port B draws a current...
Milicevic3306
16.0k
points
123
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2012-ec
two-port-network
network-solution-methods
+
–
0
votes
0
answers
135
GATE ECE 2015 Set 2 | Question: 18
Two causal discrete-time signals $x[n]$ and $y[n]$ are related as $y[n] = \displaystyle{}\sum _{m=0}^{n} x[m]$. If the $z$-transform of $y[n]$ is $\dfrac{2}{z(z-1)^{2}},$ the value of $x[2]$ is _______.
Two causal discrete-time signals $x[n]$ and $y[n]$ are related as $y[n] = \displaystyle{}\sum _{m=0}^{n} x[m]$. If the $z$-transform of $y[n]$ is $\dfrac{2}{z(z-1)^{2}},$...
Milicevic3306
16.0k
points
121
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-2
numerical-answers
continuous-time-signals
discrete-time-signals
+
–
0
votes
0
answers
136
GATE ECE 2014 Set 3 | Question: 21
The input $-3e^{2t}u(t),$ where $u(t)$ is the unit step function, is applied to a system with transfer function $\frac{s-2}{s+3}.$ If the initial value of the output is $-2$, then the value of the output at steady state is _______.
The input $-3e^{2t}u(t),$ where $u(t)$ is the unit step function, is applied to a system with transfer function $\frac{s-2}{s+3}.$ If the initial value of the output is $...
Milicevic3306
16.0k
points
121
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
137
GATE ECE 2016 Set 3 | Question: 8
A discrete-time signal $x[n] = \delta[n – 3] + 2 \delta[n – 5]$ has $z$-transform $X(z)$. If $Y(z) = X(-z)$ is the $z$-transform of another signal $y[n]$, then $y[n] = x[n]$ $y[n] = x[-n]$ $y[n] = -x[n]$ $y[n] = -x[-n]$
A discrete-time signal $x[n] = \delta[n – 3] + 2 \delta[n – 5]$ has $z$-transform $X(z)$. If $Y(z) = X(-z)$ is the $z$-transform of another signal $y[n]$, then $y[n] ...
Milicevic3306
16.0k
points
119
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-3
continuous-time-signals
signals-and-systems
discrete-time-signals
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–
0
votes
0
answers
138
GATE ECE 2014 Set 2 | Question: 46
An unforced linear time invariant (LTI) system is represented by $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} -1 & 0 \\ 0& -2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}$ If the initial conditions are $x_1(0)= 1$ and $x_2(0)= -1$, the solution of the ... $x_{1}(t)= -e^{-t}, \: x_{2}(t)= -2e^{-t}$
An unforced linear time invariant (LTI) system is represented by $$\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} -1 & 0 \\ 0& -2 \end{bmatrix} \begin{bmatrix...
Milicevic3306
16.0k
points
119
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-2
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
139
GATE ECE 2016 Set 1 | Question: 23
The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal $s(t) = 5 \cos1600 \pi t + 20 \cos 1800 \pi t + 5 \cos 2000 \pi t$. The value of the modulation index is _________
The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal $s(t) = 5 \cos1600 \pi t + 20 \cos 1800 \pi t + 5 \cos 2...
Milicevic3306
16.0k
points
118
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-1
numerical-answers
network-solution-methods
sinusoidal-signal
+
–
0
votes
0
answers
140
GATE ECE 2016 Set 1 | Question: 45
The open-loop transfer function of a unity-feedback control system is $G(s)= \frac{K}{s^2+5s+5}$. The value of $K$ at the breakaway point of the feedback contol system’s root-locus plot is _________
The open-loop transfer function of a unity-feedback control system is $$G(s)= \frac{K}{s^2+5s+5}$$. The value of $K$ at the breakaway point of the feedback contol system�...
Milicevic3306
16.0k
points
118
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-1
numerical-answers
network-solution-methods
transfer-function
bode-and-root-locus-plots
+
–
0
votes
0
answers
141
GATE ECE 2016 Set 1 | Question: 47
The transfer function of a linear time invariant system is given by $H(s) = 2s^4 – 5s^3 + 5s -2$. The number of zeroes in the right half of the $s$-plane is _________
The transfer function of a linear time invariant system is given by $H(s) = 2s^4 – 5s^3 + 5s -2$. The number of zeroes in the right half of the $s$-plane is _________
Milicevic3306
16.0k
points
118
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-1
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
142
GATE ECE 2013 | Question: 16
A band-limited signal with a maximum frequency of $5\: kHz$ is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is $5\: kHz $ $12\: kHz$ $15\: kHz$ $20\: kHz$
A band-limited signal with a maximum frequency of $5\: kHz$ is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is$5\: kHz $$12...
Milicevic3306
16.0k
points
118
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2013-ec
continuous-time-signals
sampling-theorem
+
–
0
votes
0
answers
143
GATE ECE 2015 Set 2 | Question: 7
In the circuit shown, the average value of the voltage $V_{ab}$ (in Volts) in steady state condition is ________.
In the circuit shown, the average value of the voltage $V_{ab}$ (in Volts) in steady state condition is ________.
Milicevic3306
16.0k
points
115
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
steady-state
+
–
0
votes
0
answers
144
GATE ECE 2015 Set 1 | Question: 48
A plant transfer function is given as $G(s)= \bigg( K_p+ \frac{K_1}{s} \bigg) \frac{1}{s(s+2)}$. When the plant operates in a unity feedback configuration, the condition for the stability of the closed loop system is $K_p>\frac{K_1}{2}>0 \\$ $2K_1>K_p>0 \\$ $2K_1<K_p \\$ $2K_1>K_p$
A plant transfer function is given as $G(s)= \bigg( K_p+ \frac{K_1}{s} \bigg) \frac{1}{s(s+2)}$. When the plant operates in a unity feedback configuration, the condition ...
Milicevic3306
16.0k
points
115
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-1
network-solution-methods
transfer-function
+
–
0
votes
0
answers
145
GATE ECE 2014 Set 1 | Question: 20
The forward path transfer function of a unity negative feedback system is given by $G(s) = \frac{K}{(s+2)(s-1)}$. The value of $K$ which will place both the poles of the closed-loop system at the same location, is _______.
The forward path transfer function of a unity negative feedback system is given by $$G(s) = \frac{K}{(s+2)(s-1)}$$. The value of $K$ which will place both the poles of th...
Milicevic3306
16.0k
points
113
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
transfer-function
network-solution-methods
+
–
0
votes
0
answers
146
GATE ECE 2013 | Question: 8
The impulse response of a system is $h(t) = tu(t).$ For an input $u(t − 1),$ the output is $\frac{t^{2}}{2}u(t)$ $\frac{t(t-1)}{2}u(t-1)$ $\frac{(t-1)^{2}}{2}u(t-1)$ $\frac{t^{2}-1}{2}u(t-1)$
The impulse response of a system is $h(t) = tu(t).$ For an input $u(t − 1),$ the output is$\frac{t^{2}}{2}u(t)$$\frac{t(t-1)}{2}u(t-1)$$\frac{(t-1)^{2}}{2}u(t-1)$$\frac...
Milicevic3306
16.0k
points
113
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2013-ec
continuous-time-signals
impulse-response
+
–
0
votes
0
answers
147
GATE ECE 2014 Set 1 | Question: 30
A $Y$-network has resistances of $10\Omega$ each in two of its arms, while the third arm has a resistance of $11\Omega.$ In the equivalent $\Delta$ – network, the lowest value (in $\Omega)$ among the three resistances is ______.
A $Y$-network has resistances of $10\Omega$ each in two of its arms, while the third arm has a resistance of $11\Omega.$ In the equivalent $\Delta$ – network, the lowe...
Milicevic3306
16.0k
points
112
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
148
GATE ECE 2014 Set 3 | Question: 48
In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the following transfer functions has this root locus? $\frac{s+1}{(s+2)(s+4)(s+7)} \\$ $\frac{s+4}{(s+1)(s+2)(s+7)} \\$ $\frac{s+7}{(s+1)(s+2)(s+4)} \\$ $\frac{(s+1)(s+2)}{(s+7)(s+4)}$
In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the following transfer functions has this root locus? ...
Milicevic3306
16.0k
points
111
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-3
continuous-time-signals
signals-and-systems
poles-and-zeros
+
–
0
votes
0
answers
149
GATE ECE 2015 Set 3 | Question: 48
The characteristic equation of an LTI system is given by $F(s) = s^{5} + 2s^{4} + 3s^{3} + 6s^{2} – 4s – 8 = 0.$ The number of roots that lie strictly in the left half $s$-plane is _________.
The characteristic equation of an LTI system is given by $F(s) = s^{5} + 2s^{4} + 3s^{3} + 6s^{2} – 4s – 8 = 0.$ The number of roots that lie strictly in the left hal...
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
numerical-answers
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
150
GATE ECE 2014 Set 1 | Question: 24
A two-port network has scattering parameters given by $[S] = \begin{bmatrix}s_{11} &s_{12} \\s_{21} &s_{22} \end{bmatrix}.$ If the port-2 of the two-port is short circuited, the $s_{11}$ ... $\dfrac{s_{11} - s_{11}s_{22} + s_{12}s_{21}}{1 - s_{22}}$
A two-port network has scattering parameters given by $[S] = \begin{bmatrix}s_{11} &s_{12} \\s_{21} &s_{22} \end{bmatrix}.$ If the port-2 of the two-port is short circuit...
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2014-ec-1
two-port-network
network-solution-methods
+
–
0
votes
0
answers
151
GATE ECE 2013 | Question: 33
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$
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2013-ec
continuous-time-signals
impulse-response
+
–
0
votes
0
answers
152
GATE ECE 2015 Set 2 | Question: 47
The output of a standard second-order system for a unit step input is given as $y(t) = 1-\dfrac{2}{\sqrt{3}}e^{-t}\cos \left(\sqrt{3t}-\dfrac{\pi}{6}\right)$. The transfer function of the system is $\dfrac{2}{(s+2)(s+\sqrt{3})}$ $\dfrac{1}{s^{2}+2s+1}$ $\dfrac{3}{s^{2}+2s+3}$ $\dfrac{3}{s^{2}+2s+4}$
The output of a standard second-order system for a unit step input is given as $y(t) = 1-\dfrac{2}{\sqrt{3}}e^{-t}\cos \left(\sqrt{3t}-\dfrac{\pi}{6}\right)$. The transfe...
Milicevic3306
16.0k
points
109
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
network-solution-methods
transfer-function
+
–
0
votes
0
answers
153
GATE ECE 2012 | Question: 55
The transfer function of a compensator is given as $G_c(s)=\frac{s+a}{s+b}$ The phase of the above lead compensator is maximum at $\sqrt{2}$ rad/s $\sqrt{3}$ rad/s $\sqrt{6}$ rad/s $\frac{1}{\sqrt{3}}$ rad/s
The transfer function of a compensator is given as$$G_c(s)=\frac{s+a}{s+b}$$The phase of the above lead compensator is maximum at$\sqrt{2}$ rad/s$\sqrt{3}$ rad/s$\sqrt{6}...
Milicevic3306
16.0k
points
109
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2012-ec
network-solution-methods
diodes
transfer-function
+
–
0
votes
0
answers
154
GATE ECE 2015 Set 2 | Question: 22
A sinusoidal signal of amplitude $A$ is quantized by a uniform quantizer. Assume that the signal utilizes all the representation levels of the quantizer. If the signal to quantization noise ratio is $31.8\: dB,$ the number of levels in the quantizer is __________.
A sinusoidal signal of amplitude $A$ is quantized by a uniform quantizer. Assume that the signal utilizes all the representation levels of the quantizer. If the signal to...
Milicevic3306
16.0k
points
108
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
sinusoidal
+
–
0
votes
0
answers
155
GATE ECE 2013 | Question: 25
Let $g(t) = e^{-\pi t^{2}},$ and $h(t)$ is a filter matched to $g(t).$ If $g(t)$ is applied as input to $h(t),$ then the Fourier transformation of the output is $ e^{-\pi f^{2}}$ $ e^{-\pi f^{2}/ 2}$ $ e^{-\pi \mid f \mid }$ $ e^{-2\pi f^{2}}$
Let $g(t) = e^{-\pi t^{2}},$ and $h(t)$ is a filter matched to $g(t).$ If $g(t)$ is applied as input to $h(t),$ then the Fourier transformation of the output is$ e^{-\pi ...
Milicevic3306
16.0k
points
108
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2013-ec
continuous-time-signals
fourier-transform
+
–
0
votes
0
answers
156
GATE ECE 2014 Set 4 | Question: 21
For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is $16$ $4$ $2$ $1$
For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is$16$$4$$2$$1$
Milicevic3306
16.0k
points
107
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-4
network-solution-methods
to-be-tagged
+
–
0
votes
0
answers
157
GATE ECE 2015 Set 2 | Question: 31
In the circuit shown, the Norton equivalent resistance $(\text{in}\: \Omega)$ across terminals $a-b$ is _______.
In the circuit shown, the Norton equivalent resistance $(\text{in}\: \Omega)$ across terminals $a-b$ is _______.
Milicevic3306
16.0k
points
106
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2015-ec-2
numerical-answers
network-solution-methods
nortons
+
–
0
votes
0
answers
158
GATE ECE 2016 Set 1 | Question: 35
Consider the signal $x[n] = 6 \delta[n + 2] + 3 \delta[n + 1] + 8 \delta[n] + 7 \delta[n - 1] + 4 \delta[n - 2]$ If $X(e^{jw})$ is the discrete-time Fourier transform of $x[n]$, then $\frac{1}{\pi} \int\limits_{-\pi}^{\pi} X(e^{jw}) \sin^2(2\omega) d\omega$ is equal to _______
Consider the signal $$x[n] = 6 \delta[n + 2] + 3 \delta[n + 1] + 8 \delta[n] + 7 \delta[n - 1] + 4 \delta[n - 2]$$ If $X(e^{jw})$ is the discrete-time Fourier transform o...
Milicevic3306
16.0k
points
105
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-1
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
+
–
0
votes
0
answers
159
GATE ECE 2018 | Question: 54
A band limited low-pass signal $x(t)$ of bandwidth $5\:kHz$ is sampled at a sampling rate $f_{s}$.The signal $x(t)$ is reconstructed using the reconstruction filter $H(f)$ whose magnitude response is shown below: The minimum sampling rate $f_{s}(\text{in}\: kHz)$ for perfect reconstruction of $x(t)$ is ________.
A band limited low-pass signal $x(t)$ of bandwidth $5\:kHz$ is sampled at a sampling rate $f_{s}$.The signal $x(t)$ is reconstructed using the reconstruction filter $H(f)...
gatecse
1.6k
points
105
views
gatecse
asked
Feb 19, 2018
Continuous-time Signals
gate2018-ec
numerical-answers
continuous-time-signals
signals-and-systems
sampling-theorem
+
–
0
votes
0
answers
160
GATE ECE 2014 Set 4 | Question: 17
A Fourier transform pair is given by $\left ( \frac{2}{3} \right ) \: u[n+3] \overset{FT}{\Leftrightarrow} \frac{Ae^{-j6 \pi f}}{1- (\frac{2}{3} ) e^{-j2 \pi f}}$ where $u[n]$ denotes the unit step sequence. The values of $A$ is ____________
A Fourier transform pair is given by $$\left ( \frac{2}{3} \right ) \: u[n+3] \overset{FT}{\Leftrightarrow} \frac{Ae^{-j6 \pi f}}{1- (\frac{2}{3} ) e^{-j2 \pi f}}$$ where...
Milicevic3306
16.0k
points
103
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
+
–
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