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Recent questions tagged gate2007-ec
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81
GATE ECE 2007 | Question: 81
Consider a linear system whose state space representation is $\dot{\mathbf{x}}(t)=\mathbf{A} \mathbf{x}(t)$. If the initial state vector of the system is $\mathbf{x}(0)=\left[\begin{array}{r}1 \\ -2\end{array}\right]$ ... $\left[\begin{array}{rr}0 & 1 \\ -2 & -3\end{array}\right]$
Consider a linear system whose state space representation is $\dot{\mathbf{x}}(t)=\mathbf{A} \mathbf{x}(t)$. If the initial state vector of the system is $\mathbf{x}(0)=\...
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82
GATE ECE 2007 | Question: 82
An input to a $6$-level quantizer has the probability density function $f(x)$ as shown in the figure. Decision boundaries of the quantizer are chosen so as to maximize the entropy of the quantizer output. It is given that $3$ consecutive decision boundaries are $\text{ -1', 0'}$ ... $b=3 / 40$ $a=1 / 4$ and $b=1 / 16$ $a=1 / 3$ and $b=1 / 24$
An input to a $6$-level quantizer has the probability density function $f(x)$ as shown in the figure. Decision boundaries of the quantizer are chosen so as to maximize th...
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GATE ECE 2007 | Question: 83
An input to a $6$-level quantizer has the probability density function $f(x)$ as shown in the figure. Decision boundaries of the quantizer are chosen so as to maximize the entropy of the quantizer output. It is given that $3$ ... of signal power to quantization noise power is $\frac{152}{9}$ $\frac{64}{3}$ $\frac{76}{3}$ $28$
An input to a $6$-level quantizer has the probability density function $f(x)$ as shown in the figure. Decision boundaries of the quantizer are chosen so as to maximize th...
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84
GATE ECE 2007 | Question: 84
In the Digital-to-Analog converter circuit shown in the figure below, $V_{R}=10 \mathrm{~V}$ and $\mathrm{R}=10 \; \mathrm{k} \Omega$. The current $i$ is $31.25 \; \mu \mathrm{A}$ $62.5 \; \mu \mathrm{A}$ $125 \; \mu \mathrm{A}$ $250 \; \mu \mathrm{A}$
In the Digital-to-Analog converter circuit shown in the figure below, $V_{R}=10 \mathrm{~V}$ and $\mathrm{R}=10 \; \mathrm{k} \Omega$.The current $i$ is$31.25 \; \mu \mat...
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GATE ECE 2007 | Question: 85
In the Digital-to-Analog converter circuit shown in the figure below, $V_{R}=10 \mathrm{~V}$ and $\mathrm{R}=10 \; \mathrm{k} \Omega$. The voltage $V_{o}$ is $-0.781 \mathrm{~V}$ $-1.562 \mathrm{~V}$ $-3.125 \mathrm{~V}$ $-6.250 \mathrm{~V}$
In the Digital-to-Analog converter circuit shown in the figure below, $V_{R}=10 \mathrm{~V}$ and $\mathrm{R}=10 \; \mathrm{k} \Omega$.The voltage $V_{o}$ is$-0.781 \mathr...
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