Recent questions tagged poles-and-zeros / GO Electronics

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GATE ECE 2020 | Question: 11
The pole-zero map of a rational function $G(s)$ is shown below. When the closed contour $\Gamma$ is mapped into the $G(s)$-plane, then the mapping encircles the origin of the $G(s)$-plane once in the counter-clockwise direction. the origin of the ... $-1 + j0$ of the $G(s)$-plane once in the clockwise direction.

The pole-zero map of a rational function $G(s)$ is shown below. When the closed contour $\Gamma$ is mapped into the $G(s)$-plane, then the mapping encircles ...

go_editor

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go_editor asked Feb 13, 2020

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GATE ECE 2020 | Question: 14
Which one of the following pole-zero plots corresponds to the transfer function of an $\text{LTI}$ system characterized by the input-output difference equation given below? $y\left [ n \right ]=\sum ^{3}_{k=0}\left ( -1 \right )^{k}x\left [ n-k \right ]$

Which one of the following pole-zero plots corresponds to the transfer function of an $\text{LTI}$ system characterized by the input-output difference equation given belo...

go_editor

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go_editor asked Feb 13, 2020

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GATE ECE 2015 Set 1 | Question: 31
In the circuit shown, switch SW is closed at $t=0$. Assuming zero initial conditions, the value of $v_c(t)$ (in Volts) at $t=1$ sec is _________.

In the circuit shown, switch SW is closed at $t=0$. Assuming zero initial conditions, the value of $v_c(t)$ (in Volts) at $t=1$ sec is _________.

Milicevic3306

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Milicevic3306 asked Mar 27, 2018

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GATE ECE 2015 Set 1 | Question: 45
The pole-zero diagram of a casual and stable discrete-time system is shown in the figure. The zero at the origin has multiplicity $4$. The impulse response of the system is $h[n]$. If $h[0]=1$, we can conclude $h[n]$ is real for all $n$ $h[n]$ is purely imaginary for all $n$ $h[n]$ is real for only even $n$ $h[n]$ is purely imaginary for only odd $n$

The pole-zero diagram of a casual and stable discrete-time system is shown in the figure. The zero at the origin has multiplicity $4$. The impulse response of the system ...

Milicevic3306

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Milicevic3306 asked Mar 27, 2018

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GATE ECE 2014 Set 3 | Question: 43
Let $H_{1}(z)= (1-pz^{-1})^{-1},H_{2}(z)= (1-qz^{-1})^{-1},H(z)=H_{1}(z)+rH_{2}(z).$ The quantities $p,$ $q$, $r$ are real numbers. Consider $p=\frac{1}{2},q=-\frac{1}{4},\mid r \mid < 1.$ If the zero of $H(z)$ lies on the unit circle, then $r$ $=$ _________

Let $H_{1}(z)= (1-pz^{-1})^{-1},H_{2}(z)= (1-qz^{-1})^{-1},H(z)=H_{1}(z)+rH_{2}(z).$ The quantities $p,$ $q$, $r$ are real numbers. Consider $p=\frac{1}{2},q=-\frac{1}{4}...

Milicevic3306

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Milicevic3306 asked Mar 26, 2018

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GATE ECE 2014 Set 3 | Question: 48
In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the following transfer functions has this root locus? $\frac{s+1}{(s+2)(s+4)(s+7)} \\$ $\frac{s+4}{(s+1)(s+2)(s+7)} \\$ $\frac{s+7}{(s+1)(s+2)(s+4)} \\$ $\frac{(s+1)(s+2)}{(s+7)(s+4)}$

In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the following transfer functions has this root locus? ...

Milicevic3306

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Milicevic3306 asked Mar 26, 2018