GO Electronics
Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
New Blog
Blogs
Exams
Dark Mode
Recent questions and answers in Continuous-time Signals
1
vote
1
answer
1
The value of the integral ∫ ∞ − ∞ 12 cos ( 2 π ) sin ( 4 π t ) 4 π t d t is
two-ticks
answered
in
Continuous-time Signals
Nov 9, 2021
by
two-ticks
670
points
116
views
0
votes
1
answer
2
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
phenix
answered
in
Continuous-time Signals
Aug 12, 2020
by
phenix
180
points
108
views
gate2014-ec-1
continuous-time-signals
discrete-time-signals
0
votes
0
answers
3
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 $\delta \left [ n \right ].$
go_editor
asked
in
Continuous-time Signals
Feb 13, 2020
by
go_editor
1.9k
points
126
views
gate2020-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
impulse-response
0
votes
0
answers
4
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.
go_editor
asked
in
Continuous-time Signals
Feb 13, 2020
by
go_editor
1.9k
points
140
views
gate2020-ec
continuous-time-signals
poles-and-zeros
0
votes
0
answers
5
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? $y\left [ n \right ]=\sum ^{3}_{k=0}\left ( -1 \right )^{k}x\left [ n-k \right ]$
go_editor
asked
in
Continuous-time Signals
Feb 13, 2020
by
go_editor
1.9k
points
113
views
gate2020-ec
poles-and-zeros
continuous-time-signals
0
votes
0
answers
6
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.
go_editor
asked
in
Continuous-time Signals
Feb 13, 2020
by
go_editor
1.9k
points
71
views
gate2020-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
0
votes
0
answers
7
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 ____________
go_editor
asked
in
Continuous-time Signals
Feb 13, 2020
by
go_editor
1.9k
points
51
views
gate2020-ec
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
0
votes
0
answers
8
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?
Arjun
asked
in
Continuous-time Signals
Feb 12, 2019
by
Arjun
5.9k
points
115
views
gate2019-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
0
votes
0
answers
9
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 $N_{p}=5, N_{z}=2$ $N_{p}=6, N_{z}=3$ $N_{p}=7, N_{z}=4$ $N_{p}=4, N_{z}=2$
Arjun
asked
in
Continuous-time Signals
Feb 12, 2019
by
Arjun
5.9k
points
145
views
gate2019-ec
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
0
votes
0
answers
10
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 __________.
Arjun
asked
in
Continuous-time Signals
Feb 12, 2019
by
Arjun
5.9k
points
100
views
gate2019-ec
numerical-answers
continuous-time-signals
to-be-tagged
0
votes
0
answers
11
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).
Arjun
asked
in
Continuous-time Signals
Feb 12, 2019
by
Arjun
5.9k
points
169
views
gate2019-ec
numerical-answers
continuous-time-signals
to-be-tagged
0
votes
0
answers
12
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.
Arjun
asked
in
Continuous-time Signals
Feb 12, 2019
by
Arjun
5.9k
points
157
views
gate2019-ec
numerical-answers
continuous-time-signals
to-be-tagged
0
votes
0
answers
13
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 $a_{1},a_{2},a_{3}$ ... $a_{1}=1,a_{2}=W_{6},a_{3}=W_{6}^{2}$ $a_{1}=-1,a_{2}=W_{6}^{2},a_{3}=W_{6}$
Arjun
asked
in
Continuous-time Signals
Feb 12, 2019
by
Arjun
5.9k
points
353
views
gate2019-ec
continuous-time-signals
signals-and-systems
fourier-transform
0
votes
0
answers
14
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 $y(t)$ ...
Arjun
asked
in
Continuous-time Signals
Feb 12, 2019
by
Arjun
5.9k
points
113
views
gate2019-ec
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
1
vote
0
answers
15
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 __________.
Arjun
asked
in
Continuous-time Signals
Feb 12, 2019
by
Arjun
5.9k
points
114
views
gate2019-ec
numerical-answers
continuous-time-signals
impulse-response
0
votes
0
answers
16
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 $y[n] = x[n]$ $y[n] = x[-n]$ $y[n] = -x[n]$ $y[n] = -x[-n]$
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
60
views
gate2016-ec-3
continuous-time-signals
signals-and-systems
discrete-time-signals
0
votes
0
answers
17
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 $0$ $1$ $2$ $3$
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
64
views
gate2016-ec-3
continuous-time-signals
linear-time-invariant-systems
transfer-function
0
votes
0
answers
18
GATE ECE 2016 Set 3 | Question: 35
A continuous-time speech signal $x_a(t)$ is sampled at a rate of $8\:kHz$ and the samples are subsequently grouped in blocks, each of size $N$. The DFT of each block is to be computed in real time using the radix-$2$ decimation-in- ... by $1$ and $-1$) and the time required for addition/subtraction is negligible, then the maximum value of $N$ is _________
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
151
views
gate2016-ec-3
numerical-answers
continuous-time-signals
discrete-fourier-transform
0
votes
0
answers
19
GATE ECE 2016 Set 3 | Question: 36
The direct form structure of an FIR (finite impulse response) filter is shown in the figure. The filter can be used to approximate a low-pass filter high-pass filter band-pass filter band-stop filter
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
69
views
gate2016-ec-3
continuous-time-signals
impulse-response
0
votes
0
answers
20
GATE ECE 2016 Set 3 | Question: 49
A wide sense stationary random process $X(t)$ passes through the LTI system shown in the figure. If the autocorrelation function of $X(t)$ is $R_X(\tau)$, then the autocorrelation function $R_Y(\tau)$ of the output $Y(t)$ ... $2R_X(\tau)-R_X(\tau-T_0)-R_X(\tau+T_0)$ $2R_X(\tau)+2R_X(\tau- 2T_0)$ $2R_X(\tau)-2R_X(\tau- 2T_0)$
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
62
views
gate2016-ec-3
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
0
votes
0
answers
21
GATE ECE 2016 Set 2 | Question: 10
The energy of the signal $x(t)= \frac{\sin(4\pi t)}{4\pi t}$ is ________
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
62
views
gate2016-ec-2
numerical-answers
continuous-time-signals
to-be-tagged
0
votes
0
answers
22
GATE ECE 2016 Set 2 | Question: 33
The Discrete Fourier Transform (DFT) of the $4$-point sequence $x\left [ n \right ]=\left \{ x\left [ 0 \right ],x\left [ 1 \right ], x\left [ 2 \right ], x\left [ 3 \right ] \right \}= \left \{ 3,2,3,4 \right \}$ ... $\left | \frac{X_{1}\left [ 8 \right ]}{X_{1}\left [ 11 \right ]} \right |$ is _________
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
78
views
gate2016-ec-2
numerical-answers
continuous-time-signals
discrete-fourier-transform
0
votes
0
answers
23
GATE ECE 2016 Set 1 | Question: 7
A continuous-time function $x(t)$ is periodic with period $T$. The function is sampled uniformly with a sampling period $T_s$. In which one of the following cases is the sampled signal periodic? $T =\sqrt2 \: T_s$ $T = 1.2 \: T_s$ Always Never
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
58
views
gate2016-ec-1
continuous-time-signals
sampling-theorem
0
votes
0
answers
24
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 _______
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
53
views
gate2016-ec-1
numerical-answers
continuous-time-signals
to-be-tagged
0
votes
0
answers
25
GATE ECE 2016 Set 1 | Question: 32
A first-order low-pass filter of time constant $T$ is excited with different input signals (with zero initial conditions up to $t = 0$). Match the excitation signals $X, Y, Z$ with the corresponding time responses for $t \geq 0 $ ... $X \to R, \: Y\to P, \: Z \to Q$ $X \to P, \: Y\to R, \: Z \to Q$
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
33
views
gate2016-ec-1
signals-and-systems
low-pass-filters
continuous-time-signals
0
votes
0
answers
26
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 _______
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
42
views
gate2016-ec-1
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
0
votes
0
answers
27
GATE ECE 2015 Set 3 | Question: 17
The impulse response of an LTI system can be obtained by differentiating the unit ramp response differentiating the unit step response integrating the unit ramp response integrating the unit step response
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
57
views
gate2015-ec-3
continuous-time-signals
impulse-response
linear-time-invariant-systems
0
votes
0
answers
28
GATE ECE 2015 Set 3 | Question: 20
The phase margin (in degrees) of the system $G(s) = \dfrac{10}{s(s+10)}$ is _______.
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
63
views
gate2015-ec-3
numerical-answers
continuous-time-signals
phase-delay
0
votes
0
answers
29
GATE ECE 2015 Set 3 | Question: 23
A message signal $m(t) = A_{m} \sin(2πf_{m}t)$ is used to modulate the phase of a carrier $A_{c} \cos(2πf_{c}t)$ to get the modulated signal $y(t) = A_{c} \cos(2πf_{c}t + m(t)).$ The bandwidth of $y(t)$ depends on $A_{m}$ but not on $f_{m}$ depends on $f_{m}$ but not on $A_{m}$ depends on both $A_{m}$ and $f_{m}$ does not depend on $A_{m}$ or $f_{m}$
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
42
views
gate2015-ec-3
communications
calculation-of-bandwidth
0
votes
0
answers
30
GATE ECE 2015 Set 3 | Question: 42
Suppose $x[n]$ is an absolutely summable discrete-time signal. Its $z$-transform is a rational function with two poles and two zeroes. The poles are at $z = \pm 2j.$ Which one of the following statements is TRUE for the signal $x[n]$? It is a finite duration signal It is a causal signal It is a non-causal signal It is a periodic signal.
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
84
views
gate2015-ec-3
continuous-time-signals
signals-and-systems
fourier-transform
0
votes
0
answers
31
GATE ECE 2015 Set 3 | Question: 43
A realization of a stable discrete time system is shown in the figure. If the system is excited by a unit step sequence input $x[n ],$ the response $y[n ]$ is $4\left(-\dfrac{1}{3}\right)^{n}\:u[n]-5\left(-\dfrac{2}{3}\right)^{n}\:u[n]$ ... $5\left(\dfrac{2}{3}\right)^{n}\:u[n]-5\left(\dfrac{1}{3}\right)^{n}\:u[n]$
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
70
views
gate2015-ec-3
continuous-time-signals
discrete-time-signals
0
votes
0
answers
32
GATE ECE 2015 Set 3 | Question: 44
Let $\widetilde{x}[n] = 1 + \cos\left(\dfrac{\pi n}{8}\right)$ be a periodic signal with period $16.$ Its DFS coefficients are defined by $a_{k} = \displaystyle{}\dfrac{1}{16}\sum_{n=0}^{15}\widetilde{x}[n] \text{exp}\big(-j\dfrac{\pi}{8} kn\big)$ for all $k .$ The value of the coefficient ܽ$a_{31}$ is _______.
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
32
views
gate2015-ec-3
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
periodic-signals
0
votes
0
answers
33
GATE ECE 2015 Set 3 | Question: 45
Consider a continuous-time signal defined as $x(t)=\left(\dfrac{\sin(\pi t/2)}{(\pi t /2)}\right)\ast \sum _{n=-\infty}^{\infty}\delta(t-10n)$ where $’\ast’$ denotes the convolution operation and $t$ is in seconds. The Nyquist sampling rate $\text{(in samples/sec)}$ for $x(t)$ is _______.
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
80
views
gate2015-ec-3
numerical-answers
continuous-time-signals
convolution
nyquist
0
votes
0
answers
34
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 _________.
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
43
views
gate2015-ec-3
numerical-answers
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
0
votes
0
answers
35
GATE ECE 2015 Set 2 | Question: 5
The magnitude and phase of the complex Fourier series coefficients ܽ$a_{k}$ of a periodic signal $x(t)$ are shown in the figure. Choose the correct statement from the four choices given. Notation: $C$ is the set of complex numbers, ܴ$R$ is the set of purely ... $x(t)\in P$ $x(t)\in (C-R)$ the information given is not sufficient to draw any conclusion about $x(t)$
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
53
views
gate2015-ec-2
continuous-time-signals
signals-and-systems
fourier-transform
0
votes
0
answers
36
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 _______.
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
49
views
gate2015-ec-2
numerical-answers
continuous-time-signals
discrete-time-signals
0
votes
0
answers
37
GATE ECE 2015 Set 2 | Question: 23
The signal $\cos \left(10\pi t + \dfrac{\pi}{4}\right)$ is ideally sampled at a sampling frequency of $15 Hz.$ ... $\dfrac{15}{2}\left(\dfrac{\sin (\pi t)}{\pi t}\right)\cos\left(40\pi t - \dfrac{\pi}{2}\right)$
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
51
views
gate2015-ec-2
continuous-time-signals
sampling-theorem
0
votes
0
answers
38
GATE ECE 2015 Set 2 | Question: 43
Input $x(t)$ and output $y(t)$ of an LTI system are related by the differential equation $y''(t) - y'(t) - 6y(t) = x(t).$ If the system is neither causal nor stable, the impulse response $h(t)$ of the system is $\dfrac{1}{5}e^{3t}u(-t) + \dfrac{1}{5}e^{-2t}u(-t)$ ... $-\dfrac{1}{5}e^{3t}u(-t) - \dfrac{1}{5}e^{-2t}u(t)$
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
37
views
gate2015-ec-2
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
0
votes
0
answers
39
GATE ECE 2015 Set 2 | Question: 44
Consider two real sequences with time-origin marked by the bold value, $x_{1}[n] = \{\textbf{1},2,3,0\},\:\:x_{2}[n] = \{\textbf{1},3,2,1\}$ Let ܺ$X_{1}(k)$ and ܺ$X_{2}(k)$ be $4$-point DFTs of $x_{1}[n]$ and $x_{2}[n]$, respectively. Another ... $4$-point inverse DFT of $X_{3}(k) = X_{1}(k)X_{2}(k).$ The value of $x_{3}[2]$ is ________.
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
70
views
gate2015-ec-2
numerical-answers
continuous-time-signals
discrete-fourier-transform
0
votes
0
answers
40
GATE ECE 2015 Set 1 | Question: 17
The result of the convolution $x(-t) * \delta (-t-t_0)$ is $x(t+t_0)$ $x(t-t_0)$ $x(-t+t_0)$ $x(-t – t_0)$
Milicevic3306
asked
in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
40
views
gate2015-ec-1
continuous-time-signals
signals-and-system
convolution
To see more, click for all the
questions in this category
.
Top Users
Aug 2022
Welcome to GO Electronics, where you can ask questions and receive answers from other members of the community.
Recent questions and answers in Continuous-time Signals