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Most viewed questions in Continuous-time Signals
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81
GATE ECE 2013 | Question: 3
Two systems with impulse responses $h_{1}(t)$ and $h_{2}(t)$ are connected in cascade. Then the overall impulse response of the cascaded system is given by product of $h_{1}(t)$ and $h_{2}(t)$ sum of $h_{1}(t)$ and $h_{2}(t)$ convolution of $h_{1}(t)$ and $h_{2}(t)$ subtraction of $h_{2}(t)$ from $h_{1}(t)$
Two systems with impulse responses $h_{1}(t)$ and $h_{2}(t)$ are connected in cascade. Then the overall impulse response of the cascaded system is given by product of $...
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2013-ec
signals-and-systems
continuous-time-signals
impulse-response
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–
0
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0
answers
82
GATE ECE 2015 Set 1 | Question: 17
The result of the convolution $x(-t) * \delta (-t-t_0)$ is $x(t+t_0)$ $x(t-t_0)$ $x(-t+t_0)$ $x(-t – t_0)$
The result of the convolution $x(-t) * \delta (-t-t_0)$ is$x(t+t_0)$$x(t-t_0)$$x(-t+t_0)$$x(-t – t_0)$
Milicevic3306
16.0k
points
94
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-1
continuous-time-signals
signals-and-system
convolution
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–
0
votes
0
answers
83
GATE ECE 2014 Set 2 | Question: 18
Let $x[n] = x[-n]$. Let $X(z)$ be the $z$-transform of $x[n]$. If $0.5 + j 0.25$ is a zero of $X(z)$, which one of the following must also be a zero of $x(z)$ $0.5 – j 0.25$ $1/(0.5 + j 0.25)$ $1/(0.5 – j 0.25)$ $2+j 4$
Let $x[n] = x[-n]$. Let $X(z)$ be the $z$-transform of $x[n]$. If $0.5 + j 0.25$ is a zero of $X(z)$, which one of the following must also be a zero of $x(z)$$0.5 – j 0...
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-2
continuous-time-signals
z-transform
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–
0
votes
0
answers
84
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 $\dfrac{1}{5}e^{3t}u(-t) + \dfrac{1}{5}e^{-2t}u(-t)$ ... $-\dfrac{1}{5}e^{3t}u(-t) - \dfrac{1}{5}e^{-2t}u(t)$
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 st...
Milicevic3306
16.0k
points
89
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-2
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
+
–
0
votes
0
answers
85
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 ______.
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 $\{a_{k}\}$ ar...
Milicevic3306
16.0k
points
89
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2014-ec-1
numerical-answers
discrete-time-signals
continuous-time-signals
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–
0
votes
0
answers
86
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 _______.
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...
Milicevic3306
16.0k
points
87
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2015-ec-3
numerical-answers
continuous-time-signals
signals-and-systems
fourier-transform
periodic-signals
+
–
0
votes
0
answers
87
GATE ECE 2014 Set 3 | Question: 45
The $z$-transform of the sequence $x[n]$ is given by $X(z)=\frac{1}{(1-2z^{-1})^{2}},$ with the region of convergence $\mid z \mid >2$. Then, $x[2]$ is _________.
The $z$-transform of the sequence $x[n]$ is given by $X(z)=\frac{1}{(1-2z^{-1})^{2}},$ with the region of convergence $\mid z \mid >2$. Then, $x $ is _________.
Milicevic3306
16.0k
points
87
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-3
numerical-answers
continuous-time-signals
z-transform
+
–
0
votes
0
answers
88
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 $ ... $X \to R, \: Y\to P, \: Z \to Q$ $X \to P, \: Y\to R, \: Z \to Q$
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, ...
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 27, 2018
Continuous-time Signals
gate2016-ec-1
signals-and-systems
low-pass-filters
continuous-time-signals
+
–
0
votes
0
answers
89
GATE ECE 2014 Set 4 | Question: 44
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 constant-coefficient differential equation $\frac{d^2y(t)}{dt^2} + a \frac{dy(t)}{dt}+a^2y(t)=x(t).$ Let another ... $G(s)$ is the Laplace transform of $g(t)$, then the number of poles of $G(s)$ is _________.
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 constant-coefficient differ...
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-4
numerical-answers
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
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