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GATE ECE 2023 | Question: 29
The $\frac{V_{\text {OUT }}}{V_{\text {IN }}}$ of the circuit shown below is $-\frac{\mathrm{R}_4}{\mathrm{R}_3}$ $\frac{\mathrm{R}_4}{\mathrm{R}_3}$ $1+\frac{\text{R}_4}{\text{R}_3}$ $1-\frac{\mathrm{R}_4}{\mathrm{R}_3}$
The $\frac{V_{\text {OUT }}}{V_{\text {IN }}}$ of the circuit shown below is$-\frac{\mathrm{R}_4}{\mathrm{R}_3}$$\frac{\mathrm{R}_4}{\mathrm{R}_3}$$1+\frac{\text{R}_4}{\t...
admin
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May 20, 2023
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GATE ECE 2021 | Question: 4
Consider a real-valued base-band signal $x(t)$, band limited to $\text{10 kHz}$. The Nyquist rate for the signal $y\left ( t \right )=x\left ( t \right )x\left ( 1+\dfrac{t}{2} \right )$ is $\text{15 kHz}$ $\text{30 kHz}$ $\text{60 kHz}$ $\text{20 kHz}$
Consider a real-valued base-band signal $x(t)$, band limited to $\text{10 kHz}$. The Nyquist rate for the signal $y\left ( t \right )=x\left ( t \right )x\left ( 1+\dfrac...
Arjun
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GATE ECE 2000 | Question 2.13
Let $u(t)$ be the step function. Which of the Waveforms in given figure, $(a)$ - $(d)$ corresponds to the convolution of $u(t)-u(t-1)$ with $u(t)-u(t-2)$ ?
Let $u(t)$ be the step function. Which of the Waveforms in given figure, $(a)$ - $(d)$ corresponds to the convolution of $u(t)-u(t-1)$ with $u(t)-u(t-2)$ ?
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Sep 29, 2022
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GATE ECE 2003 | Question: 27
The noise at the input to an ideal frequency detector is white. The detector is operating above threshold. The power spectral density of the noise at the output is raised-cosine flat parabolic Gaussian
The noise at the input to an ideal frequency detector is white. The detector is operating above threshold. The power spectral density of the noise at the output israised-...
admin
46.4k
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Sep 26, 2022
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GATE ECE 2000 | Question 2.7
For the logic circuit shown in, the simplified Boolean expression for the output $Y$ is $\mathrm{A}+\mathrm{B}+\mathrm{C}$ $\mathrm{A}$ $\mathrm{B}$ $\mathrm{C}$
For the logic circuit shown in, the simplified Boolean expression for the output $Y$ is$\mathrm{A}+\mathrm{B}+\mathrm{C}$$\mathrm{A}$$\mathrm{B}$$\mathrm{C}$
admin
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GATE ECE 1999 | Question 2.12
The ripple counter shown in the given figure is works as a $\bmod -3$ up counter $\bmod -5$ up counter $\bmod - 3$ down counter $\bmod - 5$ down counter
The ripple counter shown in the given figure is works as a$\bmod -3$ up counter$\bmod -5$ up counter$\bmod - 3$ down counter$\bmod - 5$ down counter
admin
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GATE ECE 1994 | Question 3.1
$Z(s)=\frac{5}{s^{2}+4}$ represents the input impedance of a network.
$Z(s)=\frac{5}{s^{2}+4}$ represents the input impedance of a network.
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GATE ECE 2000 | Question 1.10
The configuration of given figure is a precision integrator Hartley oscillator Butterworth high pass filter Wien-bridge oscillator
The configuration of given figure is aprecision integratorHartley oscillatorButterworth high pass filterWien-bridge oscillator
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GATE ECE 2008 | Question: 26
The residue of the function $f(z)=\dfrac{1}{(z+2)^{2}(z-2)^{2}}$ at $z=2$ is $-\;\frac{1}{32}$ $-\;\frac{1}{16}$ $\frac{1}{16}$ $\frac{1}{32}$
The residue of the function $f(z)=\dfrac{1}{(z+2)^{2}(z-2)^{2}}$ at $z=2$ is$-\;\frac{1}{32}$$-\;\frac{1}{16}$$\frac{1}{16}$$\frac{1}{32}$
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GATE ECE 2005 | Question: 40
For the circuit shown in the figure, Thevenin's voltage and Thevenin's equivalent resistance atterminals $a-b$ is $5 \mathrm{~V}$ and $2 \; \Omega$. $7.5 \mathrm{~V}$ and $2.5 \; \Omega$. $4 \mathrm{~V}$ and $2 \; \Omega$. $3 \mathrm{~V}$ and $2.5 \; \Omega$.
For the circuit shown in the figure, Thevenin's voltage and Thevenin's equivalent resistance atterminals $a-b$ is$5 \mathrm{~V}$ and $2 \; \Omega$.$7.5 \mathrm{~V}$ and $...
admin
46.4k
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Sep 22, 2022
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GATE ECE 2000 | Question 2.2
Use the data of the figure. The current $i$ in the circuit of the figure is $-2 \mathrm{~A}$ $2 \mathrm{~A}$ $-4 \mathrm{~A}$ $+4 \mathrm{~A}$
Use the data of the figure. The current $i$ in the circuit of the figure is$-2 \mathrm{~A}$$2 \mathrm{~A}$$-4 \mathrm{~A}$$+4 \mathrm{~A}$
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GATE ECE 1991 | Question 1.1
An excitation is applied to a system at $\mathrm{t}=\mathrm{T}$ and its response is zero for $-\infty<t<T$. Such a system is non-causal system stable system causal system unstable system
An excitation is applied to a system at $\mathrm{t}=\mathrm{T}$ and its response is zero for $-\infty<t<T$. Such a system isnon-causal systemstable systemcausal systemuns...
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Sep 4, 2022
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GATE ECE 2000 | Question 1.24
If the diameter of a $\frac{\lambda}{2}$ dipole antenna is increased $\operatorname{from} \frac{\lambda}{100}$ to $\frac{\lambda}{50}$, then its bandwidth increases bandwidth decreases gain increases gain decreases
If the diameter of a $\frac{\lambda}{2}$ dipole antenna is increased $\operatorname{from} \frac{\lambda}{100}$ to $\frac{\lambda}{50}$, then itsbandwidth increasesbandwid...
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Sep 29, 2022
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GATE ECE 2008 | Question: 32
The signal $x(t)$ is described by $x(t)=\left\{\begin{array}{ll} 1 & \text { for }-1 \leq t \leq+1 \\ 0 & \text { otherwise } \end{array}\right.$ Two of the angular frequencies at which its Fourier transform becomes zero are $\pi, 2 \pi$ $0.5 \pi, 1.5 \pi$ $0, \pi$ $2 \pi, 2.5 \pi$
The signal $x(t)$ is described by$x(t)=\left\{\begin{array}{ll}1 & \text { for }-1 \leq t \leq+1 \\0 & \text { otherwise }\end{array}\right.$Two of the angular frequencie...
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Sep 17, 2022
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GATE ECE 2024 | Question: 54
An $\text{NMOS}$ transistor operating in the linear region has $I_{D S}$ of $5 \mu \mathrm{A}$ at $V_{D S}$ of $0.1 \mathrm{~V}$. Keeping $V_{G S}$ constant, the $V_{D S}$ is increased to $1.5 \mathrm{~V}$ ... transconductance at the new operating point (in $\mu \mathrm{A} / \mathrm{V}$, rounded off to two decimal places) is $\_\_\_\_\_\_\_$.
An $\text{NMOS}$ transistor operating in the linear region has $I_{D S}$ of $5 \mu \mathrm{A}$ at $V_{D S}$ of $0.1 \mathrm{~V}$. Keeping $V_{G S}$ constant, the $V_{D S}...
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Feb 16
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GATE ECE 2000 | Question 1.21
The magnitudes of the open-circuit and short-circuit input impedance of a transmission line are $100 \; \Omega$ and $25 \; \Omega$ respectively. The characteristic impedance of the line is, $25 \; \Omega$ $50 \; \Omega$ $75 \; \Omega$ $100 \; \Omega$
The magnitudes of the open-circuit and short-circuit input impedance of a transmission line are $100 \; \Omega$ and $25 \; \Omega$ respectively. The characteristic impeda...
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GATE ECE 2005 | Question: 25
A linear system is equivalently represented by two sets of state equations. \[\dot{X}=\mathrm{AX}+\mathrm{BU} \text { and } \dot{W}=\mathrm{CW}+\mathrm{DU} \text {. }\] The eigenvalues of the representations are also computed as $\{\lambda\}$ and $\{\mu\}$. Which one of the ... $X \neq W$ $[\lambda] \neq[\mu]$ and $X=W$ $[\lambda] \neq[\mu]$ and $X \neq W$
A linear system is equivalently represented by two sets of state equations.\[\dot{X}=\mathrm{AX}+\mathrm{BU} \text { and } \dot{W}=\mathrm{CW}+\mathrm{DU} \text {. }\]The...
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Sep 22, 2022
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GATE ECE 1991 | Question 1.7
In the signal flow graph of Figure, the gain $c / r$ will be $\frac{11}{9}$ $\frac{22}{15}$ $\frac{24}{23}$ $\frac{44}{23}$
In the signal flow graph of Figure, the gain $c / r$ will be$\frac{11}{9}$$\frac{22}{15}$$\frac{24}{23}$$\frac{44}{23}$
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Sep 4, 2022
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GATE ECE 2000 | Question 1.4
In the differential amplifer of the figure, if the source resistance of the current source $I_{E E}$ is infinite, then the common-mode gain is zero infinite indeterminate $\frac{\mathrm{V}_{m 1}+\mathrm{V}_{m 2}}{2 \mathrm{V}_{\mathrm{T}}}$
In the differential amplifer of the figure, if the source resistance of the current source $I_{E E}$ is infinite, then the common-mode gain iszeroinfiniteindeterminate$\f...
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GATE ECE 2022 | Question: 54
Consider a real valued source whose samples are independent and identically distributed random variables with the probability density function, $f(x),$ as shown in the figure. Consider a $1$ bit quantizer that maps positive samples to value $\alpha$ and others to ... error, then $(\alpha^{\ast} - \beta^{\ast}) = $____________ (rounded off to two decimal places).
Consider a real valued source whose samples are independent and identically distributed random variables with the probability density function, $f(x),$ as shown in the fi...
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Feb 15, 2022
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GATE ECE 2021 | Question: 15
Consider a rectangular coordinate system $(x,y,z)$ with unit vectors $a_{x}\:a_{y}$ and $a_{z}$. A plane wave traveling in the region $z\geq 0$ with electric field vector $E=10\cos\left ( 2\times 10^{8}t\:+\:\beta z\right )a_{y}$ is incident normally on the ... $\frac{1}{3}$ $\frac{3}{5}$ $\frac{2}{5}$ $\frac{2}{3}$
Consider a rectangular coordinate system $(x,y,z)$ with unit vectors $a_{x}\:a_{y}$ and $a_{z}$. A plane wave traveling in the region $z\geq 0$ with electric field vector...
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GATE ECE 1997 | Question 4.4
A signed integer has been stored in a byte using the $2$'s complement format. We wish to store the same integer in a $16$ bit word. We should copy the original byte to the less significant byte of the word and fill the more ... significant bit of the original byte copy the original byte to the less significant byte as well as the more significant byte of the word
A signed integer has been stored in a byte using the $2$'s complement format. We wish to store the same integer in a $16$ bit word. We shouldcopy the original byte to the...
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Oct 2, 2022
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GATE ECE 2000 | Question 1.25
The circuit of the figure represents a low pass filter high pass filter band pass filter band reject filter
The circuit of the figure represents alow pass filterhigh pass filterband pass filterband reject filter
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GATE ECE 1995 | Question 1.3
Two $2 \; \mathrm{H}$ inductance coils are connected in series and are also magnetically coupled to each other the coefficient of coupling being $0.1$. The total inductance of the combination can be $0.4 \; \mathrm{H}$ $3.2 \; \mathrm{H}$ $4.0 \; \mathrm{H}$ $3.3 \; \mathrm{H}$
Two $2 \; \mathrm{H}$ inductance coils are connected in series and are also magnetically coupled to each other the coefficient of coupling being $0.1$. The total inductan...
admin
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Sep 21, 2022
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TIFR ECE 2011 | Question: 15
Consider a channel where $x_{n} \in\{0,1\}$ is the input and $y_{n}=x_{n} * z_{n}$ is the output, where $*$ is $\text{EX-OR}$ operation, and $P\left(z_{n}=x_{n-1}\right)=P\left(z_{n}=y_{n-1}\right)=\frac{1}{2}$ ... $\frac{1}{2}.$ $1$. $<1.$ $\geq 0.$ Both $(c)$ and $(d)$.
Consider a channel where $x_{n} \in\{0,1\}$ is the input and $y_{n}=x_{n} * z_{n}$ is the output, where $*$ is $\text{EX-OR}$ operation, and $P\left(z_{n}=x_{n-1}\right)=...
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Dec 5, 2022
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GATE ECE 2000 | Question 1.15
An $8$ bit successive approximation analog to digital converter has full scale reading of $2.55 \mathrm{~V}$ and its conversion time for an analog input of $1 \mathrm{~V}$ is $20 \; \mu \mathrm{s}$. The conversion time for a $2 \mathrm{~V}$ input will be $10 \; \mu \mathrm{s}$ $20 \; \mu \mathrm{s}$ $40 \; \mu \mathrm{s}$ $50 \; \mu \mathrm{S}$
An $8$ bit successive approximation analog to digital converter has full scale reading of $2.55 \mathrm{~V}$ and its conversion time for an analog input of $1 \mathrm{~V}...
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46.4k
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GATE ECE 2004 | Question: 18
Given figure is the voltage transfer characteristic of an NMOS inverter with enhancement mode transistor as load an NMOS inverter with depletion mode transistor as load a CMOS inverter a BJT inverter
Given figure is the voltage transfer characteristic ofan NMOS inverter with enhancement mode transistor as loadan NMOS inverter with depletion mode transistor as loada CM...
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Sep 25, 2022
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GATE ECE 2005 | Question: 7
The condition on $\mathrm{R}, \mathrm{L}$ and $\mathrm{C}$ such that the step response $y(t)$ in the figure has no oscillations, is $\mathrm{R} \geq \frac{1}{2} \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$ $\mathrm{R} \geq \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$ $\mathrm{R} \geq 2 \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$ $ \mathrm{R}=\frac{1}{\sqrt{\mathrm{LC}}}$
The condition on $\mathrm{R}, \mathrm{L}$ and $\mathrm{C}$ such that the step response $y(t)$ in the figure has no oscillations, is$\mathrm{R} \geq \frac{1}{2} \sqrt{\fra...
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Sep 22, 2022
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GATE ECE 2005 | Question: 11
The bandgap of Silicon at room temperature is $1.3 \; \mathrm{eV}$ $0.7 \; \mathrm{eV}$ $1.1 \; \mathrm{eV}$ $1.4 \; \mathrm{eV}$
The bandgap of Silicon at room temperature is$1.3 \; \mathrm{eV}$$0.7 \; \mathrm{eV}$$1.1 \; \mathrm{eV}$$1.4 \; \mathrm{eV}$
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GATE ECE 1996 | Question 1.8
A $n$ – channel silicon $\left(E_{g}=1.1 \; \mathrm{eV}\right)$ MOSFET was fabricated using $n+$ poly-silicon gate and the threshold voltage was found to be $1 \mathrm{~V}$. Now, if the gate is changed to $v^{+}$poly-silicon, other things remaining the same, the new threshold voltage should be $-0.1 \mathrm{~V}$ $0 \mathrm{~V}$ $1.0 \mathrm{~V}$ $2.1 \mathrm{~V}$
A $n$ – channel silicon $\left(E_{g}=1.1 \; \mathrm{eV}\right)$ MOSFET was fabricated using $n+$ poly-silicon gate and the threshold voltage was found to be $1 \mathrm{...
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Sep 20, 2022
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GATE ECE 2005 | Question: 23
The power in the signal $s(t)=8 \cos \left(20 \pi t-\frac{\pi}{2}\right)+$ $4 \sin (15 \pi t)$ is $40$ $41$ $42$ $82$
The power in the signal $s(t)=8 \cos \left(20 \pi t-\frac{\pi}{2}\right)+$ $4 \sin (15 \pi t)$ is$40$$41$$42$$82$
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Sep 22, 2022
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GATE ECE 2009 | Question: 19
For a message signal $m(t)=\cos \left(2 \pi f_{m} t\right)$ and carrier of frequency $f_{c}$ which of the following represents a single-side-band (SSB) signal? $\cos \left(2 \pi f_{m} t\right) \cos \left(2 \pi f_{c} t\right)$ ... $\left[1+\cos \left(2 \pi f_{m} t\right] \cos \left(2 \pi f_{c} t\right)\right.$
For a message signal $m(t)=\cos \left(2 \pi f_{m} t\right)$ and carrier of frequency $f_{c}$ which of the following represents a single-side-band (SSB) signal?$\cos \left...
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Sep 15, 2022
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GATE ECE 1997 | Question 2.1
In the $\text{BJT}$ amplifier shown in the figure is the transistor is based in the forward active region. Putting a capacitor across $R_E$ will decrease the voltage gain and decrease the input impedance increase the voltage gain ... the input impedance decrease the voltage gain and increase the input impedance increase the voltage gain and increase the input impedance
In the $\text{BJT}$ amplifier shown in the figure is the transistor is based in the forward active region. Putting a capacitor across $R_E$ will decrease the voltage gain...
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Oct 2, 2022
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GATE ECE 2002 | Question: 1.8
Three identical $\text{RC}$-coupled transistor amplifiers are cascaded. If each of the amplifiers has a frequency response as shown in the figure is the overall frequency response is as given in
Three identical $\text{RC}$-coupled transistor amplifiers are cascaded. If each of the amplifiers has a frequency response as shown in the figure is the overall frequency...
admin
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Sep 27, 2022
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GATE ECE 2008 | Question: 16
For static electric and magnetic fields in an inhomogeneous source-free medium, which of the following represents the correct form of two of Maxwell's equations? $\begin{array}{II}\nabla \bullet \mathbf{E}=0 \\ \nabla \times \textbf{B} = 0 \end{array} $ ... $\begin{array}{II}\nabla \times \mathbf{E}=0 \\ \nabla \bullet \textbf{B} = 0 \end{array}$
For static electric and magnetic fields in an inhomogeneous source-free medium, which of the following represents the correct form of two of Maxwell's equations?$\begin{a...
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Sep 17, 2022
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GATE ECE 2006 | Question: 8
The concentration of minority carriers in an extrinsic semiconductor under equilibrium is directly proportional to the doping concentration inversely proportional to the doping concentration directly proportional to the intrinsic concentration inversely proportional to the intrinsic concentration
The concentration of minority carriers in an extrinsic semiconductor under equilibrium isdirectly proportional to the doping concentrationinversely proportional to the do...
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Sep 20, 2022
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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...
admin
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Sep 19, 2022
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GATE ECE 1991 | Question 1.35
A binary source has symbol probabilities $0.8$ and $0.2$. If extension coding (blocks of $4$ symbols) is used. The lower and upper bounds on the average code word length are (a) lower _________. (b) higher ________.
A binary source has symbol probabilities $0.8$ and $0.2$. If extension coding (blocks of $4$ symbols) is used. The lower and upper bounds on the average code word length ...
admin
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Sep 4, 2022
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GATE ECE 2022 | Question: 23
Let $x_{1} (t) = e^{-t}u(t)$ and $x_{2}(t) = u(t) – u(t – 2),$ where $u(\cdot)$ denotes the unit step function. If $y(t)$ denotes the convolution of $x_{1}(t)$ and $x_{2}(t),$ then $\displaystyle \lim_{t \rightarrow \infty} y(t) =$ ______________ (rounded off to one decimal place).
Let $x_{1} (t) = e^{-t}u(t)$ and $x_{2}(t) = u(t) – u(t – 2),$ where $u(\cdot)$ denotes the unit step function.If $y(t)$ denotes the convolution of $x_{1}(t)$ and $x...
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TIFR ECE 2010 | Question: 13
Output of a linear system with input $x(t)$ is given by \[ y(t)=\int_{-\infty}^{\infty} h(t, \tau) x(\tau) . \] The system is time invariant if $h(t, \tau)=h(t-\tau)$ $h(t, \tau)=h(\tau)$ $h(t, \tau)=h(t)$ $h(t, \tau)=$ constant $h(t, \tau)$ is a continuous function of $t$
Output of a linear system with input $x(t)$ is given by\[y(t)=\int_{-\infty}^{\infty} h(t, \tau) x(\tau) .\]The system is time invariant if$h(t, \tau)=h(t-\tau)$$h(t, \ta...
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Nov 30, 2022
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