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Recent questions tagged nyquist
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GATE ECE 2016 Set 3 | Question: 6
Consider the signal $x(t) = \cos(6\pi t) + \sin (8\pi t)$, where $t$ is in seconds. The Nyquist sampling rate (in samples/second) for the signal $y(t) = x(2t + 5)$ is $8$ $12$ $16$ $32$
Milicevic3306
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Mar 28, 2018
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Milicevic3306
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gate2016-ec-3
control-systems
nyquist
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2
GATE ECE 2016 Set 3 | Question: 22
An analog baseband signal, bandlimited to $100\ Hz$, is sampled at the Nyquist rate. The samples are quantized into four message symbols that occur independently with probabilities $p_1 = p_4 = 0.125$ and $p_2 = p_3$. The information rate (bits/sec) of the message source is _______
Milicevic3306
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Control Systems
Mar 28, 2018
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Milicevic3306
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gate2016-ec-3
numerical-answers
control-systems
nyquist
probability
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3
GATE ECE 2016 Set 2 | Question: 20
The number and direction of encirclements around the point $-1+j0$ in the complex plane by the Nyquist plot of $G(s)=\frac{1-s}{4+2s}$ is zero. one,anti-clockwise. one, clockwise. two, clockwise.
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Control Systems
Mar 28, 2018
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Milicevic3306
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57
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gate2016-ec-2
control-systems
nyquist
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4
GATE ECE 2016 Set 1 | Question: 20
A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function encircles the $s$-plane point $(-1+j0)$ in the counter clockwise direction as many times as the number of right-half $s$-plane poles. ... plane point $(-1+j0)$ in the counterclockwise direction as many times as the number of right-half $s$-plane zeroes.
Milicevic3306
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Control Systems
Mar 28, 2018
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Milicevic3306
15.8k
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65
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gate2016-ec-1
control-systems
nyquist
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0
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5
GATE ECE 2015 Set 3 | Question: 45
Consider a continuous-time signal defined as $x(t)=\left(\dfrac{\sin(\pi t/2)}{(\pi t /2)}\right)\ast \sum _{n=-\infty}^{\infty}\delta(t-10n)$ where $’\ast’$ denotes the convolution operation and $t$ is in seconds. The Nyquist sampling rate $\text{(in samples/sec)}$ for $x(t)$ is _______.
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Continuous-time Signals
Mar 28, 2018
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Milicevic3306
15.8k
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71
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gate2015-ec-3
numerical-answers
continuous-time-signals
convolution
nyquist
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6
GATE ECE 2014 Set 1 | Question: 18
Consider two real valued signals, $x(t)$ band-limited to $[-500\:Hz,500\:Hz]$ and $y(t)$ band-limited to $[-1\:kHz,1\:kHz].$ For $z(t) = x(t)\cdot y(t),$ the Nyquist sampling frequency (in $kHz$) is _______.
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Control Systems
Mar 26, 2018
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Milicevic3306
15.8k
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56
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gate2014-ec-1
numerical-answers
nyquist
control-systems
0
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0
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7
GATE ECE 2014 Set 1 | Question: 21
Consider the feedback system shown in the figure. The Nyquist plot of $G(s)$ is also shown. Which one of the following conclusions is correct? $G(s)$ is an all-pass filter $G(s)$ is a strictly proper transfer function $G(s)$ is a stable and minimum-phase transfer function The closed-loop system is unstable for sufficiently large and positive $k$
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Control Systems
Mar 26, 2018
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Milicevic3306
15.8k
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55
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gate2014-ec-1
control-systems
nyquist
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1
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8
GATE ECE 2018 | Question: 5
The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability od feedback controllers. Identify which of the following statements is FALSE: Both the criteria provide information relative to the ... criterion. The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.
gatecse
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Control Systems
Feb 19, 2018
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gatecse
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gate2018-ec
control-systems
nyquist
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9
GATE ECE 2017 Set 2 | Question: 48
A unity feedback control system is characterized by the open-loop transfer function $G(s)=\frac{10K(s+2)}{s^3+3s^2+10}$ The Nyquist path and the corresponding Nyquist plot of $G(s)$ are shown in the figures below. If $0 < K < 1$, then the number of poles of the closed-loop transfer function that lie in the right-half of the $s$-plane is $0$ $1$ $2$ $3$
admin
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Control Systems
Nov 25, 2017
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admin
2.8k
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140
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gate2017-ec-2
control-systems
nyquist
0
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0
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10
GATE ECE 2017 Set 1 | Question: 49
The Nyquist plot of the transfer function $G(s)=\frac{K}{(s^{2}+2s+2)(s+2)}$ does not encircle the point $(-1+j0)$ for $K=10$ but does encircle the point $(-1+j0)$ for $K=100$. Then the closed loop system (having unity gain feedback) is stable ... $K=10$ and unstable for $K=100$ unstable for $K=10$ and stable for $K=100$ stable for $K=10$ and unstable for $K=100$
admin
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Control Systems
Nov 17, 2017
by
admin
2.8k
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73
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gate2017-ec-1
nyquist
control-systems
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