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Recent questions tagged discrete-time-signals
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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 $\delta \left [ n \right ].$
jothee
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in
Continuous-time Signals
Feb 13, 2020
by
jothee
1.9k
points
95
views
gate2020-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
impulse-response
0
votes
0
answers
2
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.
jothee
asked
in
Continuous-time Signals
Feb 13, 2020
by
jothee
1.9k
points
62
views
gate2020-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
0
votes
0
answers
3
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
4.5k
points
99
views
gate2019-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
0
votes
0
answers
4
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
51
views
gate2016-ec-3
continuous-time-signals
signals-and-systems
discrete-time-signals
0
votes
0
answers
5
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
56
views
gate2015-ec-3
continuous-time-signals
discrete-time-signals
0
votes
0
answers
6
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
42
views
gate2015-ec-2
numerical-answers
continuous-time-signals
discrete-time-signals
0
votes
0
answers
7
GATE ECE 2014 Set 2 | Question: 43
Consider a discrete-time signal $ x[n]= \begin{cases} n & \text{for } 0\leq n\leq 10 \\ 0 & \text{otherwise }\end{cases}$ If $y[n]$ is the convolution of $x[n]$ with itself, the value of $y[4]$ is _______ .
Milicevic3306
asked
in
Continuous-time Signals
Mar 26, 2018
by
Milicevic3306
15.8k
points
38
views
gate2014-ec-2
numerical-answers
continuous-time-signals
discrete-time-signals
0
votes
1
answer
8
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
Milicevic3306
asked
in
Continuous-time Signals
Mar 26, 2018
by
Milicevic3306
15.8k
points
98
views
gate2014-ec-1
continuous-time-signals
discrete-time-signals
0
votes
0
answers
9
GATE ECE 2014 Set 1 | Question: 44
Consider a discrete time periodic signal $x[n] = \sin(\frac{\pi n}{s}).$ Let $a_{k}$ be the complex Fourier series coefficients of $x[n].$ The coefficients $\{a_{k}\}$ are non-zero when $k = Bm\: \pm 1,$ where $m$ is any integer. The value of $B$ is ______.
Milicevic3306
asked
in
Continuous-time Signals
Mar 26, 2018
by
Milicevic3306
15.8k
points
33
views
gate2014-ec-1
numerical-answers
discrete-time-signals
continuous-time-signals
0
votes
0
answers
10
GATE ECE 2017 Set 2 | Question: 19
Consider the state space realization $\begin{bmatrix} \dot{x_1}(t)\\ \dot{x_2}(t) \end{bmatrix}=\begin{bmatrix} 0 &0 \\ 0&-9 \end{bmatrix}\begin{bmatrix} x_1(t)\\ x_2(t) \end{bmatrix}+\begin{bmatrix} 0\\ 45 \end{bmatrix} u(t)$ , with ... function. The value of $\underset{t\rightarrow \infty }{\lim}\left | \sqrt{x_1^2(t)+x_2^2(t)} \right |$ is __________.
admin
asked
in
Continuous-time Signals
Nov 23, 2017
by
admin
2.8k
points
56
views
gate2017-ec-2
discrete-time-signals
numerical-answers
continuous-time-signals
signals-and-systems
0
votes
0
answers
11
GATE ECE 2017 Set 1 | Question: 32
Two discrete-time signals $x[n]$ and $h[n]$ are both non-zero only for $n=0,1,2$, and are zero otherwise .It is given that $x[0]=1, \: x[1]=2, \: x[2]=1, \: h[0]=1$ Let $y[n]$ be the linear convolution of $x[n]$ and $h[n]$. Given that $y[1]=3$ and $y[2]=4$, the value of the expression $(10y[3]+y[4])$ is__________.
admin
asked
in
Continuous-time Signals
Nov 17, 2017
by
admin
2.8k
points
78
views
gate2017-ec-1
numerical-answers
continuous-time-signals
discrete-time-signals
signals-and-systems
0
votes
0
answers
12
GATE ECE 2017 Set 1 | Question: 6
Consider a single input single output discrete-time system with $x[ n ]$ as input and $y [ n ]$ ... statements is true about the system? It is causal and stable It is causal but not stable It is not causal but stable It is neither causal nor stable
admin
asked
in
Continuous-time Signals
Nov 17, 2017
by
admin
2.8k
points
98
views
gate2017-ec-1
linear-time-invariant-systems
continuous-time-signals
signals-and-systems
discrete-time-signals
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