GO Electronics
Login
Register
Dark Mode
Brightness
Profile
Edit Profile
Messages
My favorites
My Updates
Logout
Filter
Recent
Hot!
Most votes
Most answers
Most views
Previous GATE
Featured
Most answered questions in Networks, Signals and Systems
0
votes
2
answers
1
GATE ECE 2020 | Question: 29
A finite duration discrete-time signal $x[n]$ is obtained by sampling the continuous-time signal $x\left ( t \right )=\cos\left ( 200\pi t \right )$ at sampling instants $t=n/400, n=0, 1, \dots ,7.$ The $8$-point discrete Fourier transform $\text{(DFT)}$ of $x[n]$ is ... Only $X[4]$ is non-zero. Only $X[2]$ and $X[6]$ are non-zero. Only $X[3]$ and $X[5]$ are non-zero.
A finite duration discrete-time signal $x[n]$ is obtained by sampling the continuous-time signal $x\left ( t \right )=\cos\left ( 200\pi t \right )$ at sampling instants ...
go_editor
1.9k
points
366
views
go_editor
asked
Feb 13, 2020
Continuous-time Signals
gate2020-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
+
–
1
votes
1
answer
2
The value of the integral ∫ ∞ − ∞ 12 cos ( 2 π ) sin ( 4 π t ) 4 π t d t is
akalok808
130
points
192
views
akalok808
asked
Aug 24, 2021
0
votes
1
answer
3
GATE ECE 2019 | Question: 5
Let $Y(s)$ be the unit-step response of a causal system having a transfer function $G(s)= \dfrac{3-s}{(s+1)(s+3)}$ that is ,$Y(s)=\dfrac{G(s)}{s}.$ The forced response of the system is $u(t)-2e^{-t}u(t)+e^{-3t}u(t)$ $2u(t)-2e^{-t}u(t)+e^{-3t}u(t)$ $2u(t)$ $u(t)$
Let $Y(s)$ be the unit-step response of a causal system having a transfer function$$G(s)= \dfrac{3-s}{(s+1)(s+3)}$$that is ,$Y(s)=\dfrac{G(s)}{s}.$ The forced response of...
Arjun
6.6k
points
495
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
network-solution-methods
signals-and-systems
transfer-function
+
–
1
votes
1
answer
4
GATE ECE 2014 Set 3 | Question: 30
Consider the building block called ‘Network N’ shown in the figure. Let $C= 100\mu F$ and $R= 10 k \Omega.$ Two such blocks are connected in cascade, as shown in the figure. The transfer function $\frac{V_{3}(s)}{V_{1}(s)}$ of the cascaded network is $\frac{s}{1+s} \\$ $\frac{s^{2}}{1+3s+s^{2}} \\$ $\left ( \frac{s}{1+s} \right )^{2} \\$ $\frac{s}{2+s}$
Consider the building block called ‘Network N’ shown in the figure. Let $C= 100\mu F$ and $R= 10 k \Omega.$ Two such blocks are connect...
Milicevic3306
16.0k
points
331
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-3
network-solution-methods
transfer-function
+
–
0
votes
1
answer
5
GATE ECE 2014 Set 1 | Question: 17
A discrete-time signal $x[n] = \sin(\pi^{2}n),n$ being an integer, is periodic with period $\pi$ periodic with period $\pi^{2}$ periodic with period $\pi/2$ not periodic
A discrete-time signal $x[n] = \sin(\pi^{2}n),n$ being an integer, isperiodic with period $\pi$periodic with period $\pi^{2}$periodic with period $\pi/2$not periodic
Milicevic3306
16.0k
points
277
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2014-ec-1
continuous-time-signals
discrete-time-signals
+
–
0
votes
1
answer
6
GATE ECE 2018 | Question: 42
The figure below shows the Bode magnitude and phase plots of a stable transfer function $G\left ( s \right )=\dfrac{n_{0}}{s^{3}+d_{2}s^{2}+d_{1}s+d_{0}}.$ Consider the negative unity feedback configuration with gain $k$ in the feedforward path. The closed loop is stable for $k < k_{0}.$ The maximum value of $k_{0}$ is _________.
The figure below shows the Bode magnitude and phase plots of a stable transfer function $G\left ( s \right )=\dfrac{n_{0}}{s^{3}+d_{2}s^{2}+d_{1}s+d_{0}}.$Consider the ne...
gatecse
1.6k
points
455
views
gatecse
asked
Feb 19, 2018
Network Solution Methods
gate2018-ec
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
7
GATE ECE 2020 | Question: 5
The output $y[n]$ of a discrete-time system for an input $x[n]$ is $y\left [ n \right ]=\underset{-\infty \leq k\leq n}{\text{max}} \mid x\left [ k \right ] \mid$ The unit impulse response of the system is $0$ for all $n$. $1$ for all $n$. unit step signal $u\left [ n \right ].$ unit impulse signal $\delta \left [ n \right ].$
The output $y[n]$ of a discrete-time system for an input $x[n]$ is$$y\left [ n \right ]=\underset{-\infty \leq k\leq n}{\text{max}} \mid x\left [ k \right ] \mid$$The uni...
go_editor
1.9k
points
232
views
go_editor
asked
Feb 13, 2020
Continuous-time Signals
gate2020-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
impulse-response
+
–
0
votes
0
answers
8
GATE ECE 2020 | Question: 9
In the circuit shown below, the Thevenin voltage $V_{TH}$is $2.4\:V$ $2.8\:V$ $3.6\:V$ $4.5\:V$
In the circuit shown below, the Thevenin voltage $V_{TH}$is $2.4\:V$$2.8\:V$$3.6\:V$$4.5\:V$
go_editor
1.9k
points
302
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
network-solution-methods
thevenin-theorem
+
–
0
votes
0
answers
9
GATE ECE 2020 | Question: 11
The pole-zero map of a rational function $G(s)$ is shown below. When the closed contour $\Gamma$ is mapped into the $G(s)$-plane, then the mapping encircles the origin of the $G(s)$-plane once in the counter-clockwise direction. the origin of the ... $-1 + j0$ of the $G(s)$-plane once in the clockwise direction.
The pole-zero map of a rational function $G(s)$ is shown below. When the closed contour $\Gamma$ is mapped into the $G(s)$-plane, then the mapping encircles ...
go_editor
1.9k
points
294
views
go_editor
asked
Feb 13, 2020
Continuous-time Signals
gate2020-ec
continuous-time-signals
poles-and-zeros
+
–
0
votes
0
answers
10
GATE ECE 2020 | Question: 14
Which one of the following pole-zero plots corresponds to the transfer function of an $\text{LTI}$ system characterized by the input-output difference equation given below? $y\left [ n \right ]=\sum ^{3}_{k=0}\left ( -1 \right )^{k}x\left [ n-k \right ]$
Which one of the following pole-zero plots corresponds to the transfer function of an $\text{LTI}$ system characterized by the input-output difference equation given belo...
go_editor
1.9k
points
188
views
go_editor
asked
Feb 13, 2020
Continuous-time Signals
gate2020-ec
poles-and-zeros
continuous-time-signals
+
–
0
votes
0
answers
11
GATE ECE 2020 | Question: 15
In the given circuit, the two-port network has the impedance matrix $\begin{bmatrix} Z \end{bmatrix}=\begin{bmatrix} 40 & 60\\ 60& 120 \end{bmatrix}$. The value of $Z_{L}$ for which maximum power is transferred to the load is _____________$\Omega$.
In the given circuit, the two-port network has the impedance matrix $\begin{bmatrix} Z \end{bmatrix}=\begin{bmatrix} 40 & 60\\ 60& 120 \end{bmatrix}$. The value of $Z_{L}...
go_editor
1.9k
points
254
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
two-port-network
+
–
0
votes
0
answers
12
GATE ECE 2020 | Question: 16
The current in the $\text{RL}$-circuit shown below is $i\left ( t \right )=10\cos\left ( 5t-\pi /4 \right )A$. The value of the inductor $\text{(rounded off to two decimal places)}$ is _______ $\text{H}$.
The current in the $\text{RL}$-circuit shown below is $i\left ( t \right )=10\cos\left ( 5t-\pi /4 \right )A$. The value of the inductor $\text{(rounded off to two decima...
go_editor
1.9k
points
232
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
13
GATE ECE 2020 | Question: 17
In the circuit shown below, all the components are ideal and the input voltage is sinusoidal. The magnitude of the steady-state output $V_{o}$ ( rounded off to two decimal places) is ______ $V$.
In the circuit shown below, all the components are ideal and the input voltage is sinusoidal. The magnitude of the steady-state output $V_{o}$ ( rounded off to two decima...
go_editor
1.9k
points
194
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
steady-state
sinusoidal
+
–
0
votes
0
answers
14
GATE ECE 2020 | Question: 23
The loop transfer function of a negative feedback system is $G\left ( s \right )H\left ( s \right )=\frac{K(s+11)}{s(s+2)(s+8)}.$ The value of $K$, for which the system is marginally stable, is ___________.
The loop transfer function of a negative feedback system is $$G\left ( s \right )H\left ( s \right )=\frac{K(s+11)}{s(s+2)(s+8)}.$$ The value of $K$, for which the system...
go_editor
1.9k
points
207
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
transfer-function
+
–
1
votes
0
answers
15
GATE ECE 2020 | Question: 28
The current $I$ in the given network is $0 \: A$ $2.38\angle -96.37^{\circ}A$ $2.38\angle143.63^{\circ}A$ $2.38\angle-23.63^{\circ}A$
The current $I$ in the given network is $0 \: A$$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
123
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
network-solution-methods
+
–
1
votes
0
answers
16
GATE ECE 2020 | Question: 30
For the given circuit, which one of the following is correct state equation? ...
For the given circuit, which one of the following is correct state equation? $\dfrac{\mathrm{d} }{\mathrm{d} t}\begin{bmatrix} v\\ i \end{b...
go_editor
1.9k
points
163
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
network-solution-methods
state-equations
+
–
1
votes
0
answers
17
GATE ECE 2020 | Question: 37
Using the incremental low frequency small-signal model of the $\text{MOS}$ device, the Norton equivalent resistance of the following circuit is $r_{ds}+R+g_{m}r_{ds}R \\$ $\dfrac{r_{ds}+R}{1+g_{m}r_{ds}} \\$ $r_{ds}+\dfrac{1}{g_{m}}+R \\$ $r_{ds}+R$
Using the incremental low frequency small-signal model of the $\text{MOS}$ device, the Norton equivalent resistance of the following circuit is $r_{d...
go_editor
1.9k
points
290
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
network-solution-methods
nortons
+
–
0
votes
0
answers
18
GATE ECE 2020 | Question: 49
A system with transfer function $G\left ( s \right )=\dfrac{1}{\left ( s+1 \right )\left ( s+a \right )},\:\:a> 0$ is subjected to an input $5 \cos3t$. The steady state output of the system is $\dfrac{1}{\sqrt{10}}\cos\left ( 3t-1.892 \right )$. The value of $a$ is _______.
A system with transfer function $G\left ( s \right )=\dfrac{1}{\left ( s+1 \right )\left ( s+a \right )},\:\:a 0$ is subjected to an input $5 \cos3t$. The steady state ou...
go_editor
1.9k
points
186
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
19
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
121
views
go_editor
asked
Feb 13, 2020
Continuous-time Signals
gate2020-ec
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
+
–
0
votes
0
answers
20
GATE ECE 2020 | Question: 53
The transfer function of a stable discrete-time $\text{LTI}$ system is $H\left ( z \right )=\dfrac{K\left ( z-\alpha \right )}{z+0.5}$, where $K$ and $\alpha$ are real numbers. The value of $\alpha$ (rounded off to one decimal place) with $\mid \alpha \mid > 1$, for which the magnitude response of the system is constant over all frequencies, is ___________.
The transfer function of a stable discrete-time $\text{LTI}$ system is $H\left ( z \right )=\dfrac{K\left ( z-\alpha \right )}{z+0.5}$, where $K$ and $\alpha$ are real nu...
go_editor
1.9k
points
133
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
21
GATE ECE 2020 | Question: 55
Consider the following closed loop control system where $G\left ( s \right )=\dfrac{1}{s\left ( s+1 \right )}$ and $C\left ( s \right )=K\dfrac{s+1}{s+3}$. If the steady state error for a unit ramp input is $0.1$, then the value of $K$ is ______________.
Consider the following closed loop control systemwhere $G\left ( s \right )=\dfrac{1}{s\left ( s+1 \right )}$ and $C\left ( s \right )=K\dfrac{s+1}{s+3}$. If the steady s...
go_editor
1.9k
points
171
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
steady-state
+
–
0
votes
0
answers
22
GATE ECE 2019 | Question: 3
Let $H(z)$ be the $z-$ transform of a real-valued discrete-time signal $h[n].$ If $P(z) = H(z) H(\frac{1}{z})$ has a zero at $z= \frac{1}{2}+\frac{1}{2}j,$ and $P(z)$ has a total of four zeros, which one of the following plots represents all the zeros correctly?
Let $H(z)$ be the $z-$ transform of a real-valued discrete-time signal $h[n].$ If $P(z) = H(z) H(\frac{1}{z})$ has a zero at $z= \frac{1}{2}+\frac{1}{2}j,$ and $P(z)$ has...
Arjun
6.6k
points
181
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
+
–
0
votes
0
answers
23
GATE ECE 2019 | Question: 4
Consider the two-port resistive network shown in the figure. When an excitation of $5\: V$ is applied across Port $1$, and Port $2$ is shorted, the current through the short circuit at Port $2$ is measured to be $1\: A$ ... ), what is the current through the short circuit at Port $1?$ $0.5\: A$ $1\: A$ $2\: A$ $2.5\: A$
Consider the two-port resistive network shown in the figure. When an excitation of $5\: V$ is applied across Port $1$, and Port $2$ is shorted, the current through the sh...
Arjun
6.6k
points
243
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
two-port-network
network-solution-methods
+
–
0
votes
0
answers
24
GATE ECE 2019 | Question: 6
For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles $N_{p}$ and the number of system zeros $N_{z}$ in the frequency range $1\: Hz \leq f \leq \:10^{7} Hz $ is $N_{p}=5, N_{z}=2$ $N_{p}=6, N_{z}=3$ $N_{p}=7, N_{z}=4$ $N_{p}=4, N_{z}=2$
For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles $N_{p}$ and the number of system zeros $N_{z}$ in the fre...
Arjun
6.6k
points
214
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
25
GATE ECE 2019 | Question: 21
Consider the signal $f(t)=1+2 \cos(\pi t)+3 \sin \left(\dfrac{2\pi}{3}t\right)+4 \cos \left(\dfrac{\pi}{2}t+\dfrac{\pi}{4}\right)$, where $t$ is in seconds. Its fundamental time period, in seconds, is __________.
Consider the signal $f(t)=1+2 \cos(\pi t)+3 \sin \left(\dfrac{2\pi}{3}t\right)+4 \cos \left(\dfrac{\pi}{2}t+\dfrac{\pi}{4}\right)$, where $t$ is in seconds. Its fundament...
Arjun
6.6k
points
168
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
numerical-answers
continuous-time-signals
to-be-tagged
+
–
0
votes
0
answers
26
GATE ECE 2019 | Question: 22
The baseband signal $m(t)$ shown in the figure is phase-modulated to generate the $PM$ signal $\varphi(t)=\cos(2\pi f_{c}t+ k\:\: m(t)).$ The time $t$ on the $x-$ axis in the figure is in milliseconds. If the ... ratio of the minimum instantaneous frequency (in kHz) to the maximum instantaneous frequency (in kHz) is _________ (rounded off to $2$ decimal places).
The baseband signal $m(t)$ shown in the figure is phase-modulated to generate the $PM$ signal $\varphi(t)=\cos(2\pi f_{c}t+ k\:\: m(t)).$ The time $t$ on the $x-$ axis in...
Arjun
6.6k
points
251
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
numerical-answers
continuous-time-signals
to-be-tagged
+
–
0
votes
0
answers
27
GATE ECE 2019 | Question: 25
In the circuit shown, the clock frequency, i.e., the frequency of the ClK signal, is $12\:kHz$. The frequency of the signal at $Q_{2}$ is _______ kHz.
In the circuit shown, the clock frequency, i.e., the frequency of the ClK signal, is $12\:kHz$. The frequency of the signal at $Q_{2}$ is _______ kHz.
Arjun
6.6k
points
289
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
numerical-answers
continuous-time-signals
to-be-tagged
+
–
0
votes
0
answers
28
GATE ECE 2019 | Question: 28
Consider a six-point decimation-in-time Fast Fourier Transform $(FFT)$ algorithm, for which the signal-flow graph corresponding to $X[1]$ is shown in the figure. Let $W_{6}=exp\left(-\:\dfrac{j2\pi}{6}\right).$ In the figure, what should be the values of the coefficients $a_{1},a_{2},a_{3}$ ... $a_{1}=1,a_{2}=W_{6},a_{3}=W_{6}^{2}$ $a_{1}=-1,a_{2}=W_{6}^{2},a_{3}=W_{6}$
Consider a six-point decimation-in-time Fast Fourier Transform $(FFT)$ algorithm, for which the signal-flow graph corresponding to $X $ is shown in the figure. Let $W_{6}...
Arjun
6.6k
points
496
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
continuous-time-signals
signals-and-systems
fourier-transform
+
–
0
votes
0
answers
29
GATE ECE 2019 | Question: 30
In the circuit shown, if $v(t)=2 \sin(1000\: t)$ volts, $R=1\:k \Omega$ and $C=1\:\mu F,$ then the steady-state current $i(t)$, milliamperes (mA), is $\sin(1000\: t)+ \cos(1000\: t)$ $2 \sin(1000\: t) +2 \cos(1000\: t)$ $3 \sin(1000\: t) + \cos(1000\: t)$ $\sin(1000\: t) +3 \cos(1000\: t)$
In the circuit shown, if $v(t)=2 \sin(1000\: t)$ volts, $R=1\:k \Omega$ and $C=1\:\mu F,$ then the steady-state current $i(t)$, milliamperes (mA), is$\sin(1000\: t)+ \cos...
Arjun
6.6k
points
194
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
network-solution-methods
steady-state
+
–
0
votes
0
answers
30
GATE ECE 2019 | Question: 31
Consider a causal second-order system with the transfer function $G(s)=\dfrac{1}{1+2s+s^{2}}$ with a unit-step $R(s)=\dfrac{1}{s}$ as an input. Let $C(s)$ be the corresponding output. The time taken by the system output $c(t)$ to reach $94\%$ of its ... value $\underset{t\rightarrow \infty}{\lim}\:c(t),$ rounded off to two decimal places, is $5.25$ $4.50$ $3.89$ $2.81$
Consider a causal second-order system with the transfer function$$G(s)=\dfrac{1}{1+2s+s^{2}}$$with a unit-step $R(s)=\dfrac{1}{s}$ as an input. Let $C(s)$ be the correspo...
Arjun
6.6k
points
249
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
network-solution-methods
transfer-function
+
–
0
votes
0
answers
31
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
125
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
network-solution-methods
transfer-function
+
–
0
votes
0
answers
32
GATE ECE 2019 | Question: 33
Let the state-space representation of an LTI system be $x(t)=A x(t)+B u(t), y(t)=Cx(t)+du(t)$ where $A,B,C$ are matrices, $d$ is a scalar, $u(t)$ is the input to the system, and $y(t)$ ...
Let the state-space representation of an LTI system be $x(t)=A x(t)+B u(t), y(t)=Cx(t)+du(t)$ where $A,B,C$ are matrices, $d$ is a scalar, $u(t)$ is the input to the syst...
Arjun
6.6k
points
191
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
33
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
120
views
Arjun
asked
Feb 12, 2019
Network Solution Methods
gate2019-ec
numerical-answers
feedback-systems
network-solution-methods
+
–
1
votes
0
answers
34
GATE ECE 2019 | Question: 44
Let $h[n]$ be a length - $7$ discrete-time finite impulse response filter, given by $h[0]=4, \quad h[1]=3,\quad h[2]=2,\quad h[3]=1,$ $\quad h[-1]=-3, \quad h[-2]=-2, \quad h[-3]=-1,$ and $h[n]$ is zero for $|n|\geq4.$ A ... and $g[n],$ respectively. For the filter that minimizes $E(h,g),$ the value of $10g[-1]+g[1],$ rounded off to $2$ decimal places, is __________.
Let $h[n]$ be a length – $7$ discrete-time finite impulse response filter, given by$$h[0]=4, \quad h =3,\quad h =2,\quad h[3]=1,$$$$\quad h[-1]=-3, \quad h[-2]=-2, \qua...
Arjun
6.6k
points
180
views
Arjun
asked
Feb 12, 2019
Continuous-time Signals
gate2019-ec
numerical-answers
continuous-time-signals
impulse-response
+
–
0
votes
0
answers
35
GATE ECE 2016 Set 3 | Question: 7
If the signal $x(t) = \large \frac{\sin(t)}{\pi t}$*$\large \frac{\sin(t)}{\pi t}$ with $*$ denoting the convolution operation, then $x(t)$ is equal to $\large\frac{\sin(t)}{\pi t}$ $\large\frac{\sin(2t)}{2\pi t}$ $\large\frac{2\sin(t)}{\pi t}$ $\bigg(\frac{\sin(t)}{\pi t}\bigg)^2$
If the signal $x(t) = \large \frac{\sin(t)}{\pi t}$$*$$\large \frac{\sin(t)}{\pi t}$ with $*$ denoting the convolution operation, then $x(t)$ is equal to $\large\frac{\si...
Milicevic3306
16.0k
points
151
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
signals-and-systems
+
–
0
votes
0
answers
36
GATE ECE 2016 Set 3 | Question: 8
A discrete-time signal $x[n] = \delta[n – 3] + 2 \delta[n – 5]$ has $z$-transform $X(z)$. If $Y(z) = X(-z)$ is the $z$-transform of another signal $y[n]$, then $y[n] = x[n]$ $y[n] = x[-n]$ $y[n] = -x[n]$ $y[n] = -x[-n]$
A discrete-time signal $x[n] = \delta[n – 3] + 2 \delta[n – 5]$ has $z$-transform $X(z)$. If $Y(z) = X(-z)$ is the $z$-transform of another signal $y[n]$, then $y[n] ...
Milicevic3306
16.0k
points
115
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-3
continuous-time-signals
signals-and-systems
discrete-time-signals
+
–
0
votes
0
answers
37
GATE ECE 2016 Set 3 | Question: 9
In the RLC circuit shown in the figure, the input voltage is given by $v_i(t) = 2\cos (200t) + 4\sin (500t).$ The output voltage $v_o(t)$ is $\cos (200t) + 2\sin (500t)$ $2\cos (200t) + 4\sin (500t)$ $\sin (200t) + 2\cos (500t)$ $2\sin (200t) + 4\cos (500t)$
In the RLC circuit shown in the figure, the input voltage is given by $$v_i(t) = 2\cos (200t) + 4\sin (500t).$$ The output voltage $v_o(t)$ is$\cos (200t) + 2\sin (500t)$...
Milicevic3306
16.0k
points
164
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
network-solution-methods
rlc-circuits
+
–
0
votes
0
answers
38
GATE ECE 2016 Set 3 | Question: 13
The diodes $D1$ and $D2$ in the figure are ideal and the capacitors are identical. The product $RC$ is very large compared to the time period of the ac voltage. Assuming that the diodes do not breakdown in the reverse bias, the output voltage $V_o$(in volt) at the steady state is _______
The diodes $D1$ and $D2$ in the figure are ideal and the capacitors are identical. The product $RC$ is very large compared to the time period of the ac voltage. Assuming ...
Milicevic3306
16.0k
points
165
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
numerical-answers
network-solution-methods
diodes
steady-state
+
–
0
votes
0
answers
39
GATE ECE 2016 Set 3 | Question: 30
A signal $2 \cos(\frac{2\pi}{3}t)-\cos(\pi t)$ is the input to an LTI system with the transfer function $H(s)=e^s+e^{-s}.$ If $C_k$ denotes the $k^{th}$ coefficient in the exponential Fourier series of the output signal, then $C_3$ is equal to $0$ $1$ $2$ $3$
A signal $2 \cos(\frac{2\pi}{3}t)-\cos(\pi t)$ is the input to an LTI system with the transfer function$$H(s)=e^s+e^{-s}.$$If $C_k$ denotes the $k^{th}$ coefficient in th...
Milicevic3306
16.0k
points
133
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-3
continuous-time-signals
linear-time-invariant-systems
transfer-function
+
–
0
votes
0
answers
40
GATE ECE 2016 Set 3 | Question: 32
Assume that the circuit in the figure has reached the steady state before time $t = 0$ when the $3\;\Omega$ resistor suddenly burns out, resulting in an open circuit. The current $i(t)$ (in ampere) at $t=0^+$ is _______
Assume that the circuit in the figure has reached the steady state before time $t = 0$ when the $3\;\Omega$ resistor suddenly burns out, resulting in an open circuit. The...
Milicevic3306
16.0k
points
216
views
Milicevic3306
asked
Mar 27, 2018
Network Solution Methods
gate2016-ec-3
numerical-answers
network-solution-methods
steady-state
+
–
Page:
1
2
3
4
5
next »
GO Electronics
Email or Username
Show
Hide
Password
I forgot my password
Remember
Log in
Register