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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 __________.
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Feb 12, 2019
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Continuoustime Signals
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GATE ECE 2019  Question: 22
The baseband signal $m(t)$ shown in the figure is phasemodulated 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).
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Feb 12, 2019
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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.
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Feb 12, 2019
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Continuoustime Signals
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GATE ECE 2016 Set 2  Question: 10
The energy of the signal $x(t)= \frac{\sin(4\pi t)}{4\pi t}$ is ________
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Mar 28, 2018
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Continuoustime Signals
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GATE ECE 2016 Set 1  Question: 10
A continuoustime 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 lowpass filter with a cutoff frequency of $23Hz$. The fundamental frequency (in $Hz$) of the output is _______
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Mar 28, 2018
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GATE ECE 2016 Set 1  Question: 24
Concentric spherical shells of radii $2$m, $4$m, and $8$ m carry uniform surface charge densities of $20 \: nC/m^2$, $ – 4 \: nC/m^2$ and $\rho_s$ respectively. The value of $\rho_s$ ($nC/m^2$) required to ensure that the electric flux density $\overrightarrow D$ = $\overrightarrow 0$ at radius $10$ m is ________
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Mar 28, 2018
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Communications
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GATE ECE 2015 Set 1  Question: 23
Consider the signal $s(t)=m(t) \cos(2 \pi \: f_ct)+ \hat{m}(t) \sin(2 \pi f_c t)$ where $\hat{m}(t)$ denotes the Hilbert transform of $m(t)$ and the bandwidth of $m(t)$ is very small compared to $f_c$. The signal $s(t)$ is a highpass signal lowpass signal bandpass signal double sideband suppressed carrier signal
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Mar 28, 2018
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GATE ECE 2014 Set 4  Question: 19
The sequence $x[n] = 0.5^n \: u[n]$, where $u[n]$ is the unit step sequence, is convolved with itself to obtain $y[n]$. Then $\Sigma_{n= \infty}^{+ \infty} y[n]$ is _________.
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Mar 26, 2018
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GATE ECE 2014 Set 4  Question: 21
For the second order closedloop system shown in the figure, the natural frequency (in rad/s) is $16$ $4$ $2$ $1$
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Mar 26, 2018
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Network Solution Methods
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GATE ECE 2014 Set 2  Question: 48
Consider the state space system expressed by the signal flow diagram shown in the figure. The corresponding system is always controllable always observable always stable always unstable
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Mar 26, 2018
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GATE ECE 2013  Question: 55
The state diagram of a system is shown below. A system is described by the statevariable equations $\dot{X}= AX+Bu;\:\: y = CX+Du$ The state transition matrix $e^{At}$ ... $\begin{bmatrix} e^{t}&te^{t} \\ 0 &e^{t} \end{bmatrix}$
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Mar 26, 2018
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GATE ECE 2013  Question: 11
Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor $k, \: k> 0,$ the elements of the corresponding star equivalent will be scaled by a factor of $k^{2}$ $k$ $1/k$ $\sqrt{k}$
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Mar 26, 2018
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Network Solution Methods
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GATE ECE 2012  Question: 45
If $V_AV_B=6\:V$, then $V_CV_D$ is $5\:V$ $2\:V$ $3\:V$ $6\:V$
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Mar 25, 2018
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GATE ECE 2012  Question: 22
In the circuit shown below, the current through the inductor is $\frac{2}{1+j}\:A$ $\frac{1}{1+j}\:A$ $\frac{1}{1+j}\:A$ $0\:A$
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Mar 25, 2018
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GATE ECE 2012  Question: 14
In the circuit shown $Y=\overline{A} \overline{B}+\bar{C}$ $Y=(A+B)C$ $Y=(\overline{A}+\overline{B})\overline{C}$ $Y=AB+C$
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Mar 25, 2018
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GATE ECE 2017 Set 2  Question: 6
A connection is made consisting of resistance A in series with a parallel combination of resistances $B$ and $C$. Three resistors of value $10 Ω, 5 Ω, 2 Ω$ are provided. Consider all possible permutations of the given resistors ... possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ___________.
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Nov 23, 2017
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