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Recent questions and answers in Continuoustime Signals
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GATE2017 EC2: 35
Consider the parallel combination of two LTI systems shown in the figure. The impulse responses of the systems are $h_1(t)=2\delta (t+2)3\delta (t+1)$ $h_2(t)=\delta (t2)$. If the input $x(t)$ is a unit step signal, then the energy of $y(t)$ is ____________
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Nov 25, 2017
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Continuoustime Signals
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gate2017ec2
impulseresponse
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2
GATE2017 EC2: 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 the initial ... the unit step function. The value of $\lim_{t\rightarrow \infty }\left  \sqrt{x_1^2(t)+x_2^2(t)} \right $ is __________.
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Nov 23, 2017
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Continuoustime Signals
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gate2017ec2
discretetimesignals
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3
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
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Nov 23, 2017
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Continuoustime Signals
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gate2017ec2
ltisystems
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4
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
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Nov 23, 2017
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Continuoustime Signals
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gate2017ec2
ltisystems
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5
GATE2017 EC1: 52
A continous time signal $x(t)=4cos(200\pi t)+8cos(400\pi t)$, where $t$ is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response $h(t)=\left\{\begin{matrix} \frac{2sin(300\pi t)}{\pi t},\: t\neq 0\\ 600,\: t=0 \end{matrix}\right.$ Let $y(t)$ be the output of this filter. The maximum value of $\left  y(t)) \right $ is _________.
asked
Nov 17, 2017
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Continuoustime Signals
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gate2017ec1
lti
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6
GATE2017 EC1: 31
Let $x(t)$ be a continuous time periodic signal with fundamental period $T=1$ seconds.Let ${a_{k} }$ be the complex Fourier series coefficients of $x(t)$, where $k$ is integer valued. Consider the following statements about $x(3t)$: I.The complex Fourier ... which one of the following is correct? Only II and III are true Only I and III are true Only III is true Only I is true
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Nov 17, 2017
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Continuoustime Signals
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gate2017ec1
fourierseries
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7
GATE2017 EC1: 32
Two discretetime signals $x[n]$ and $h[n]$ are both nonzero 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__________.
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Nov 17, 2017
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Continuoustime Signals
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gate2017ec1
0
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8
GATE2017 EC1: 33
Let h[n] be the impulse response of a discretetime linear time invariant(LTI) filter. The impulse response is given by $h[0]=\frac{1}{3};\,h[1]=\frac{1}{3};\,h[2]=\frac{1}{3}$; and $h[n]=0$ for $n<0$ and $n>2$. Let $H(ω)$ be ... normalized angular frequency in radians. Given that $H(ω_{0})=0$ and $0< ω_{0}<π$, the value of $ω_{0}$ (in radians) is equal to__________.
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Nov 17, 2017
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Continuoustime Signals
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gate2017ec1
dtft
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9
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
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Nov 17, 2017
in
Continuoustime Signals
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gate2017ec1
lti
systems
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0
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10
GATE2017 EC1: 6
Consider a single input single output discretetime system with $x\left [ n \right ]$ as input and $y\left [ n \right ]$ ... 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
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Nov 17, 2017
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Continuoustime Signals
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gate2017ec1
lti
systems
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11
GATE2017 EC1: 9
A periodic signal $x(t)$ has a trigonometric Fourier series expansion $x\left ( t \right )= a_{0}+\sum_{n=1}^{ \infty }\left ( a_{n}cosn\omega _{0}t+b_{n}sinn\omega _{0}t \right )$ If $x(t)= x(t)=x(t\frac{\Pi }{\omega _{0}})$ ... $n$ odd $a_n$ are zero for $n$ even and $b_n$ are zero for $n$ odd $a_n$ are zero for $n$ odd and $b_n$ are zero for $n$ even
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Nov 17, 2017
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Continuoustime Signals
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gate2017ec1
fourierseries
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