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Recent questions tagged convergence-criteria
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GATE ECE 2016 Set 3 | Question: 31
The ROC (region of convergence) of the $z$-transform of a discrete-time signal is represented by the shaded region in the $z$-plane. If the signal $x[n]=(2.0)^{\mid n\mid},-\infty<n<+\infty$, then the ROC of its $z$-transform is represented by
Milicevic3306
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Numerical Methods
Mar 28, 2018
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Milicevic3306
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gate2016-ec-3
numerical-methods
convergence-criteria
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GATE ECE 2016 Set 1 | Question: 8
Consider the sequence $x[n] = a^nu[n] + b^nu[n]$, where $u[n]$ denotes the unit-step sequence and $0<\mid a \mid < \mid b \mid<1$. The region of convergence (ROC) of the $Z$-transform of $x[n]$ is $\mid Z \mid > \mid a \mid$ $\mid Z \mid > \mid b \mid$ $\mid Z \mid < \mid a \mid$ $\mid a \mid < \mid Z \mid < \mid b \mid$
Milicevic3306
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Numerical Methods
Mar 28, 2018
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Milicevic3306
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gate2016-ec-1
numerical-methods
engineering-mathematics
convergence-criteria
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3
GATE ECE 2014 Set 1 | Question: 43
Let $x[n] = \bigg( – \dfrac{1}{9}\bigg)^{n}u(n) \:– \bigg( – \dfrac{1}{3}\bigg)^{n}u(-n-1).$ The Region of Convergence (ROC) of the $z$-transform of $x[n]$ is $\mid z \mid > \frac{1}{9} \\$ is $\mid z \mid < \frac{1}{3} \\$ is $\frac{1}{3}>\mid z \mid > \frac{1}{9} \\$ does not exist
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Numerical Methods
Mar 26, 2018
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Milicevic3306
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gate2014-ec-1
convergence-criteria
numerical-methods
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4
GATE ECE 2012 | Question: 18
If $x[n]=(\frac{1}{3})^{|n|}-(\frac{1}{2})^{|n|}u[n]$, then the region of convergence (ROC) of its Z-transform in the Z-plane will be $\frac{1}{3}\lt |z|\lt 3$ $\frac{1}{3}\lt |z|\lt \frac{1}{2}$ $\frac{1}{2}\lt |z|\lt 3$ $\frac{1}{3}\lt |z|$
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Numerical Methods
Mar 25, 2018
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Milicevic3306
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47
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gate2012-ec
numerical-methods
convergence-criteria
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