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Recent questions tagged ltisystems
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GATE2019 EC: 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 $N_{p}=5, N_{z}=2$ $N_{p}=6, N_{z}=3$ $N_{p}=7, N_{z}=4$ $N_{p}=4, N_{z}=2$
asked
Feb 12, 2019
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by
Arjun
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1.4k
points)
gate2019ec
continuoustimesignals
signalsandsystems
ltisystems
0
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0
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2
GATE2019 EC: 33
Let the statespace 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 $y(t)$ is its output. Let $B=[0\quad0\quad1]^{T}$ ... $A=\begin{bmatrix} 0&1&0\\ 0&0&1\\3&2&1 \\\end{bmatrix} \text{and} \quad C=\begin{bmatrix} 0&0&1 \end{bmatrix}$
asked
Feb 12, 2019
in
Others
by
Arjun
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1.4k
points)
gate2019ec
continuoustimesignals
signalsandsystems
ltisystems
0
votes
0
answers
3
GATE2016330
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 $0$ $1$ $2$ $3$
asked
Mar 28, 2018
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Others
by
Milicevic3306
(
15.7k
points)
gate2016ec3
continuoustimesignals
signalsandsystem
ltisystems
transferfunction
0
votes
0
answers
4
GATE2016349
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 $Y(t)$ is equal to $2R_X(\tau)+R_X(\tauT_0)+R_X(\tau+T_0)$ $2R_X(\tau)R_X(\tauT_0)R_X(\tau+T_0)$ $2R_X(\tau)+2R_X(\tau 2T_0)$ $2R_X(\tau)2R_X(\tau 2T_0)$
asked
Mar 28, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2016ec3
continuoustimesignals
signalsandsystems
ltisystems
0
votes
0
answers
5
GATE2015317
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
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Mar 28, 2018
in
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by
Milicevic3306
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15.7k
points)
gate2015ec3
controlsystems
ltisystems
0
votes
0
answers
6
GATE2015348
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 _________.
asked
Mar 28, 2018
in
Others
by
Milicevic3306
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15.7k
points)
gate2015ec3
numericalanswers
continuoustimesignals
signalsandsystems
ltisystems
0
votes
0
answers
7
GATE2015243
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 $\dfrac{1}{5}e^{3t}u(t) + \dfrac{1}{5}e^{2t}u(t)$ ... $\dfrac{1}{5}e^{3t}u(t)  \dfrac{1}{5}e^{2t}u(t)$
asked
Mar 28, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2015ec2
continuoustimesignals
signalsandsystems
ltisystems
0
votes
0
answers
8
GATE2014443
A stable linear time variant (LTI) system has a transfer function $H(s) = \frac{1}{s^2+s6}$. To make this system casual it needs to be cascaded with another LTI system having a transfer function $H_1(s)$. A correct choice for $H_1(s)$ among the following options is $s+3$ $s2$ $s6$ $s+1$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2014ec4
continuoustimesignals
signalsandsystems
ltisystems
0
votes
0
answers
9
GATE2014444
A casual LTI system has zero initial conditions and impulse response $h(t)$. Its input $x(t)$ and output $y(t)$ are related through the linear constantcoefficient differential equation $\frac{d^2y(t)}{dt^2} + a \frac{dy(t)}{dt}+a^2y(t)=x(t).$ Let another signal $g(t)$ ... $G(s)$ is the Laplace transform of $g(t)$, then the number of poles of $G(s)$ is _________.
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2014ec4
numericalanswers
continuoustimesignals
signalsandsystems
ltisystems
0
votes
0
answers
10
GATE2014244
The inputoutput relationship of a causal stable LTI system is given as $y[n] = \alpha \: y[n1] + \beta \: x[n]$. If the impulse response $h[n]$ of this system satisfies the condition $\sum_{n=0}^{\infty}h[n]= 2$, the relationship between $\alpha$ and $\beta$ is $\alpha = 1\beta /2$ $\alpha = 1+\beta /2$ $\alpha = 2\beta$ $\alpha = 2\beta$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2014ec2
communications
ltisystems
0
votes
0
answers
11
GATE2014246
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 $x_2(0)= 1$ ... $x_{1}(t)= e^{t}, \: x_{2}(t)= 2e^{t}$
asked
Mar 26, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2014ec2
continuoustimesignals
signalsandsystems
ltisystems
0
votes
0
answers
12
GATE201232
The state variable description of an LTI system is given by ... for $a_1\neq 0,a_2=0,a_3\neq 0$ $a_1=0,a_2\neq0,a_3\neq 0$ $a_1=0,a_2\neq0,a_3=0$ $a_1\neq 0,a_2\neq0,a_3=0$
asked
Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
continuoustimesignals
signalsandsystems
ltisystems
0
votes
0
answers
13
GATE2017 EC2: 47
A secondorder LTI system is described by the following state equations, $ \begin{array}{ll} \frac{d}{dt}x_1(t)x_2(t)=0 \\ \frac{d}{dt}x_2(t)+2x_1(t)+3x_2(t)=r(t) \end{array}$ where $x_1(t)$ and $x_2(t)$ are the two state variables and $r(t)$ denotes the input. The output $c(t)=x_1(t)$. The system is undamped (oscillatory) underdamped critically damped overdamped
asked
Nov 25, 2017
in
Control Systems
by
admin
(
2.8k
points)
gate2017ec2
ltisystems
continuoustimesignals
signalsandsystems
0
votes
0
answers
14
GATE2017 EC2: 33
Consider an LTI system with magnitude response $\mid H(f) \mid=\begin{cases} 1\frac{\mid f \mid}{20}, & \mid f \mid \leq 20 \\ 0,& \mid f \mid > 20 \end{cases}$ and phase response $\arg \{ H(f) \}=  2f.$ ... $y(t)$ is ____________
asked
Nov 25, 2017
in
Control Systems
by
admin
(
2.8k
points)
gate2017ec2
ltisystems
numericalanswers
continuoustimesignals
signalsandsystems
0
votes
0
answers
15
GATE2017 EC2: 34
The transfer function of a causal LTI system is $H(s)=1/s$. If the input to the system is $x(t)=[\sin(t)/\pi t] u(t)$, where $u(t)$ is a unit step function, the system output $y(t)$ as $t\to \infty$ is ____________
asked
Nov 25, 2017
in
Control Systems
by
admin
(
2.8k
points)
gate2017ec2
transferfunction
ltisystems
numericalanswers
networksolutionmethods
networks
0
votes
0
answers
16
GATE2017 EC2: 7
An LTI system with unit sample response $h[n]=5\delta [n]7\delta [n1]+7\delta [n3]5\delta [n4]$ is a lowpass filter highpass filter bandpass filter bandstop filter
asked
Nov 23, 2017
in
Continuoustime Signals
by
admin
(
2.8k
points)
gate2017ec2
ltisystems
continuoustimesignals
signalsandsystems
0
votes
0
answers
17
GATE2017 EC2: 8
The input $x(t)$ and the output $y(t)$ of a continuous –time system are related as $y(t)=\int_{tT}^{t}x(u) du.$ The system is linear and timevariant linear and timeinvariant nonlinear and timevariant nonlinear and timeinvariant
asked
Nov 23, 2017
in
Continuoustime Signals
by
admin
(
2.8k
points)
gate2017ec2
ltisystems
continuoustimesignals
signalsandsystems
0
votes
0
answers
18
GATE2017 EC1: 47
A linear time invariant (LTI) system with the transfer function $G(s)=\frac{K(s^{2}+2s+2)}{(s_{2}3s+2)}$ is connected in unity feedback configuration as shown in the figure. For the closed loop system shown, the root locus for $0< K < \infty$ intersects the ... $K=1.5$. The closed loop system is stable for $K>1.5$ $1<K<1.5$ $0<K<1$ no positive value of $K$
asked
Nov 17, 2017
in
Control Systems
by
admin
(
2.8k
points)
gate2017ec1
continuoustimesignals
signalsandsystems
ltisystems
transferfunction
0
votes
0
answers
19
GATE2017 EC1: 33
Let $h[n]$ ... in radians. Given that $H(\omega_{0})=0$ and $0< \omega_{0} < \pi$, the value of $\omega_{0}$ (in radians) is equal to__________.
asked
Nov 17, 2017
in
Continuoustime Signals
by
admin
(
2.8k
points)
gate2017ec1
dtft
numericalanswers
continuoustimesignals
ltisystems
fouriertransform
0
votes
0
answers
20
GATE2017 EC1: 5
Consider the following statements for continuoustime linear time invariant (LTI) systems. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane. There is no causal and BIBO stable with a pole in the right half of ... the following is correct? Both I and II are true Both I and II are not true Only I is true Only II is true
asked
Nov 17, 2017
in
Continuoustime Signals
by
admin
(
2.8k
points)
gate2017ec1
ltisystems
continuoustimesignals
signalsandsystems
0
votes
0
answers
21
GATE2017 EC1: 6
Consider a single input single output discretetime system with $x[ n ]$ as input and $y [ n ]$ ... following 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
asked
Nov 17, 2017
in
Continuoustime Signals
by
admin
(
2.8k
points)
gate2017ec1
ltisystems
continuoustimesignals
signalsandsystems
discretetimesignals
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