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2641
GATE ECE 2014 Set 2 | Question: 10
In CMOS technology, shallow P-well or N-well regions can be formed using low pressure chemical vapour deposition low energy sputtering low temperature dry oxidation low energy ion-implantation
In CMOS technology, shallow P-well or N-well regions can be formed usinglow pressure chemical vapour deposition low energy sputteringlow temperature dry oxidationlow ener...
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-2
electronic-devices
cmos
+
–
0
votes
0
answers
2642
GATE ECE 2014 Set 2 | Question: 11
The feedback topology in the amplifier circuit ( the base bias circuit is not shown for simplicity) in the figure is voltage shunt feedback current series feedback current shunt feedback voltage series feedback
The feedback topology in the amplifier circuit ( the base bias circuit is not shown for simplicity) in the figure is ...
Milicevic3306
16.0k
points
83
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-2
analog-circuits
control-systems
+
–
0
votes
0
answers
2643
GATE ECE 2014 Set 2 | Question: 12
In the differential amplifier shown in the figure, the magnitude of the common-mode and differential-mode gains are $A_{CM}$ and $A_{d},$ respectively. If the resistance $R_{E}$ is increased, then $A_{cm}$ increases common-mode rejection ratio increases $A_{d}$ increases common-mode rejection ratio decreases
In the differential amplifier shown in the figure, the magnitude of the common-mode and differential-mode gains are $A_{CM}$ and $A_{d},$ respectively. If the resistance ...
Milicevic3306
16.0k
points
139
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-2
analog-circuits
amplifier
+
–
0
votes
0
answers
2644
GATE ECE 2014 Set 2 | Question: 13
A cascade connection of two voltage amplifier $A1$ and $A2$ is shown in the figure. The open-loop gain $A_{V0}$, input resistance $R_{in}$, and output resistance $R_{o}$ ... $V_{out}/V_{in}$ is __________.
A cascade connection of two voltage amplifier $A1$ and $A2$ is shown in the figure. The open-loop gain $A_{V0}$, input resistance $R_{in}$, and output resistance $R_{o}$ ...
Milicevic3306
16.0k
points
147
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-2
numerical-answers
electromagnetics
+
–
0
votes
1
answer
2645
GATE ECE 2014 Set 2 | Question: 14
For an $n$-variable Boolean function, the maximum number of prime implicants is $2(n-1)$ $n/2$ $2^{n}$ $2^{n-1}$
For an $n$-variable Boolean function, the maximum number of prime implicants is$2(n-1)$$n/2$$2^{n}$$2^{n-1}$
Milicevic3306
16.0k
points
617
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-2
boolean-algebra
digital-circuits
+
–
1
votes
1
answer
2646
GATE ECE 2014 Set 2 | Question: 15
The number of bytes required to represent the decimal number $1856357$ in packed BCD (Binary Coded Decimal) form is ___________.
The number of bytes required to represent the decimal number $1856357$ in packed BCD (Binary Coded Decimal) form is ___________.
Milicevic3306
16.0k
points
609
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-2
digital-circuits
number-system
number-representation
+
–
0
votes
0
answers
2647
GATE ECE 2014 Set 2 | Question: 16
In a half-subtractor circuit with $X$ and $Y$ as inputs, the Borrow $(M)$ and Difference $(N = X – Y)$ are given by $M = X \oplus Y, \: \: \: N = XY$ $M = XY, \: \: \:N = X \oplus Y$ $M = \overline{ X}Y, \: \: \: N =X \oplus Y$ $M = X \overline{ Y}, \: \: \: N = \overline{X \oplus Y}$
In a half-subtractor circuit with $X$ and $Y$ as inputs, the Borrow $(M)$ and Difference $(N = X – Y)$ are given by$M = X \oplus Y, \: \: \: N = XY$$M = XY, \: \: \:N ...
Milicevic3306
16.0k
points
145
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-2
digital-circuits
combinational-circuits
half-subtractor-circuit
+
–
0
votes
0
answers
2648
GATE ECE 2014 Set 2 | Question: 17
As FIR system is described by the system function $ H(z) = 1 + \frac{7}{2} z^{-1} + \frac{3}{2}z^{-2}$. The system is maximum phase minimum phase mixed phase zero phase
As FIR system is described by the system function $$ H(z) = 1 + \frac{7}{2} z^{-1} + \frac{3}{2}z^{-2}$$. The system ismaximum phaseminimum phasemixed phasezero phase
Milicevic3306
16.0k
points
124
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-2
digital-circuits
+
–
0
votes
0
answers
2649
GATE ECE 2014 Set 2 | Question: 18
Let $x[n] = x[-n]$. Let $X(z)$ be the $z$-transform of $x[n]$. If $0.5 + j 0.25$ is a zero of $X(z)$, which one of the following must also be a zero of $x(z)$ $0.5 – j 0.25$ $1/(0.5 + j 0.25)$ $1/(0.5 – j 0.25)$ $2+j 4$
Let $x[n] = x[-n]$. Let $X(z)$ be the $z$-transform of $x[n]$. If $0.5 + j 0.25$ is a zero of $X(z)$, which one of the following must also be a zero of $x(z)$$0.5 – j 0...
Milicevic3306
16.0k
points
89
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-2
continuous-time-signals
z-transform
+
–
0
votes
0
answers
2650
GATE ECE 2014 Set 2 | Question: 19
Consider the periodic square wave in the figure shown. The ratio of the power in the $7^{th}$ harmonic to the power in the $5^{th}$ harmonic for this waveform is closest in value to ________.
Consider the periodic square wave in the figure shown. The ratio of the power in the $7^{th}$ harm...
Milicevic3306
16.0k
points
120
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-2
numerical-answers
electronics
electromagnetics
+
–
0
votes
0
answers
2651
GATE ECE 2014 Set 2 | Question: 20
The natural frequency of an undamped second-order system is $40$ rad/s. If the system is damped with a damping ratio $0.3$, the damped natural frequency in $rad/s$ is ___________.
The natural frequency of an undamped second-order system is $40$ rad/s. If the system is damped with a damping ratio $0.3$, the damped natural frequency in $rad/s$ is ___...
Milicevic3306
16.0k
points
123
views
Milicevic3306
asked
Mar 26, 2018
Control Systems
gate2014-ec-2
numerical-answers
control-systems
damped-natural-frequency
+
–
0
votes
0
answers
2652
GATE ECE 2014 Set 2 | Question: 21
For the following system, when $X_{1} (s) = 0$, the transfer function $\frac{Y(s)}{X_{2}(s)}$ is $\frac{s+1}{s^{2}}\\ $ $\frac{1}{s+1} \\$ $\frac{s+2}{s(s+1)} \\$ $\frac{s+1}{s(s+2)}$
For the following system, when $X_{1} (s) = 0$, the transfer function $\frac{Y(s)}{X_{2}(s)}$ is$\frac{s+1}{s^{2}}\\ $$\frac{1}{s+1} \\$$\frac{s+2}{s(s+1...
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-2
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2653
GATE ECE 2014 Set 2 | Question: 22
The capacity of a band-limited additive white Gaussian noise (AWGN) channel is given by $C = W \log_{2}\left ( 1+\frac{p} {\sigma ^{2}w} \right )$ bits per second (bps), where $W$ is the channel bandwidth, $P$ is the average power received ... channel capacity (in kbps) with infinite bandwidth $(W\rightarrow \infty )$ is approximately $1.44$ $1.08$ $0.72$ $0.36$
The capacity of a band-limited additive white Gaussian noise (AWGN) channel is given by $C = W \log_{2}\left ( 1+\frac{p} {\sigma ^{2}w} \right )$ bits per second (bps), ...
Milicevic3306
16.0k
points
167
views
Milicevic3306
asked
Mar 26, 2018
Vector Analysis
gate2014-ec-2
vector-analysis
gauss's-theorem
+
–
0
votes
1
answer
2654
GATE ECE 2014 Set 2 | Question: 23
Consider sinusoidal modulation in an AM system. Assuming no overmodulation, the modulation index ($\mu$) when the maximum and minimum values of the envelope, respectively, are $3$ V and $1$ V, is ___________.
Consider sinusoidal modulation in an AM system. Assuming no overmodulation, the modulation index ($\mu$) when the maximum and minimum values of the envelope, respectively...
Milicevic3306
16.0k
points
481
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-2
numerical-answers
communications
amplitude-modulation
+
–
0
votes
0
answers
2655
GATE ECE 2014 Set 2 | Question: 24
To maximum power transfer, a lossless transmission line is to be matched to a resistive load impedance via a $\lambda/4$ transformer as shown. The characteristic impedance (in $\Omega$) of the $\lambda$/4 transformer is ___________.
To maximum power transfer, a lossless transmission line is to be matched to a resistive load impedance via a $\lambda/4$ transformer as shown. The c...
Milicevic3306
16.0k
points
113
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-2
numerical-answers
electromagnetics
impedance
+
–
0
votes
0
answers
2656
GATE ECE 2014 Set 2 | Question: 25
Which one of the following field patterns represents a TEM wave travelling in the position $x$ direction? $E= +8\hat{y,} \: H = -4\hat{z}$ $E= -2\hat{y,} H = -3\hat{z}$ $E= +2\hat{y,} H = +2\hat{y}$ $E= -3\hat{y,} H = +4\hat{z}$
Which one of the following field patterns represents a TEM wave travelling in the position $x$ direction?$E= +8\hat{y,} \: H = -4\hat{z}$$E= -2\hat{y,} H = -3\hat{z}$$E= ...
Milicevic3306
16.0k
points
93
views
Milicevic3306
asked
Mar 26, 2018
Electromagnetics
gate2014-ec-2
electromagnetics
+
–
0
votes
0
answers
2657
GATE ECE 2014 Set 2 | Question: 26
The system of linear equations $\begin{pmatrix} 2 & 1 & 3\\ 3&0 &1 \\ 1& 2 &5 \end{pmatrix} \begin{pmatrix} a\\ b\\ c \end{pmatrix} = \begin{pmatrix} 5\\ -4\\ 14 \end{pmatrix}$ has a unique solution infinitely many solutions no solution exactly two solutions
The system of linear equations $\begin{pmatrix} 2 & 1 & 3\\ 3&0 &1 \\ 1& 2 &5 \end{pmatrix} \begin{pmatrix} a\\ b\\ c \end{pmatrix} = \begin{pmatrix} 5\\ -4\\ 14 \end{pma...
Milicevic3306
16.0k
points
81
views
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2014-ec-2
linear-algebra
matrices
system-of-equations
+
–
0
votes
0
answers
2658
GATE ECE 2014 Set 2 | Question: 27
The real part of an analytic function $f(z)$ where $z = x + jy$ is given by $e^{-y} \cos(x)$. The imaginary part of $f(z)$ is $e^{y} \cos( x )$ $e^{-y} \sin( x )$ $-e^{y} \sin ( x )$ $-e^{-y} \sin (x )$
The real part of an analytic function $f(z)$ where $z = x + jy$ is given by $e^{-y} \cos(x)$. The imaginary part of $f(z)$ is$e^{y} \cos( x )$$e^{-y} \sin( x )$$-e^{y} \s...
Milicevic3306
16.0k
points
198
views
Milicevic3306
asked
Mar 26, 2018
Complex Analysis
gate2014-ec-2
analytic-functions
complex-analysis
+
–
0
votes
0
answers
2659
GATE ECE 2014 Set 2 | Question: 28
The maximum value of the determinant among all $2 \times 2$ real symmetric matrices with trace $14$ is __________.
The maximum value of the determinant among all $2 \times 2$ real symmetric matrices with trace $14$ is __________.
Milicevic3306
16.0k
points
124
views
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2014-ec-2
numerical-answers
linear-algebra
matrices
determinant
+
–
0
votes
0
answers
2660
GATE ECE 2014 Set 2 | Question: 29
If $\overrightarrow {r}= x\hat{a_{x}}+y\hat{a_{y}}+z\hat{a_{z}}$ and $\mid \overrightarrow{r} \mid= r$ , then $\text{div} ( r^{2} \nabla ( \text{ln }r ) )$ = _______ .
If $\overrightarrow {r}= x\hat{a_{x}}+y\hat{a_{y}}+z\hat{a_{z}}$ and $\mid \overrightarrow{r} \mid= r$ , then $\text{div} ( r^{2} \nabla ( \text{ln }r ) )$ = _______ .
Milicevic3306
16.0k
points
98
views
Milicevic3306
asked
Mar 26, 2018
Vector Analysis
gate2014-ec-2
vector-analysis
numerical-answers
+
–
0
votes
0
answers
2661
GATE ECE 2014 Set 2 | Question: 30
A series LCR circuit is operated at a frequency different from its resonant frequency. The operating frequency is such that the current leads the supply voltage. The magnitude of current is half the value at resonance. If the values of L, C and R are $1$ H, $1$ F and $1 \Omega$, respectively, the operating angular frequency (in rad/s) is _________.
A series LCR circuit is operated at a frequency different from its resonant frequency. The operating frequency is such that the current leads the supply voltage. The magn...
Milicevic3306
16.0k
points
133
views
Milicevic3306
asked
Mar 26, 2018
Control Systems
gate2014-ec-2
numerical-answers
control-systems
frequency-response
+
–
0
votes
0
answers
2662
GATE ECE 2014 Set 2 | Question: 31
In the h-parameter model of the $2$-port network given in the figure shown, the value of $h_{22}$ (in S) is ______ .
In the h-parameter model of the $2$-port network given in the figure shown, the value of $h_{22}$ (in S) is ______ .
Milicevic3306
16.0k
points
87
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-2
numerical-answers
two-port-network
network-solution-methods
+
–
0
votes
0
answers
2663
GATE ECE 2014 Set 2 | Question: 32
In the figure shown, the capacitor is initially uncharged. Which one of the following expressions describes the current $I(t)$ (in mA) for $t > 0$? $I(t)= \frac{5}{3}(1-e^{-t/ \tau}), \tau= \frac{2}{3} \text{msec} \\$ ... $I(t)= \frac{5}{2}(1-e^{-t/\tau}), \tau= 3 \text{msec}$
In the figure shown, the capacitor is initially uncharged. Which one of the following expressions describes the current $I(t)$ (in mA) for $t 0$? $I(t)= ...
Milicevic3306
16.0k
points
100
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-2
electronic-devices
+
–
0
votes
0
answers
2664
GATE ECE 2014 Set 2 | Question: 33
In the magnetically coupled circuit shown in the figure, $56 \%$ of the total flux emanating from one coil links the other coil. The value of the mutual inductance (in H) is ____ .
In the magnetically coupled circuit shown in the figure, $56 \%$ of the total flux emanating from one coil links the other coil. The value of the mutual inductance (in H)...
Milicevic3306
16.0k
points
96
views
Milicevic3306
asked
Mar 26, 2018
Network Solution Methods
gate2014-ec-2
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
2665
GATE ECE 2014 Set 2 | Question: 34
Assume electronic charge $q= 1.6 \times 10^{-19} \: C$, $kT/q=25 \: mV$ and electron mobility $\mu_{n}= 1000cm^{2}/ V-s$. If the concentration gradient of electrons injected into a $P$-type silicon sample is $ 1 \times 10^{21}/cm^{4}$, the magnitude of electron diffusion current density (in $A/cm^{2}$) is _________ .
Assume electronic charge $q= 1.6 \times 10^{-19} \: C$, $kT/q=25 \: mV$ and electron mobility $\mu_{n}= 1000cm^{2}/ V-s$. If the concentration gradient of electrons injec...
Milicevic3306
16.0k
points
84
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-2
numerical-answers
electronic-devices
+
–
0
votes
0
answers
2666
GATE ECE 2014 Set 2 | Question: 35
Consider an abrupt PN junction (at $T = 300 K$) shown in the figure. The depletion region width $X_{n}$ on the $N$-side of the junction is $0.2 \mu m$ and the permittivity of silicon $( \varepsilon _{gi} )$ is $1.044 \times 10^{-12} \: F/cm$. At the junction, the approximate value of the peak electric field (in $kV/cm$) is ___________.
Consider an abrupt PN junction (at $T = 300 K$) shown in the figure. The depletion region width $X_{n}$ on the $N$-side of the junction is $0.2 \mu m$ and the permittivit...
Milicevic3306
16.0k
points
84
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-2
numerical-answers
electronic-devices
p-n-junction
+
–
0
votes
0
answers
2667
GATE ECE 2014 Set 2 | Question: 36
When a silicon diode having a doping concentration of $N_{A}= 9\times 10^{16}cm^{-3}$ on $p$-side and $N_{D}= 1 \times 10^{16}cm^{-3}$ on $n$-side is reverse biased, the total depletion width is found to be $3 \mu$ ... $0.3 \mu m$ and $0.42 \times 10^{5} V/cm$ $2.1 \mu m$ and $0.42 \times 10^{5} V/cm$
When a silicon diode having a doping concentration of $N_{A}= 9\times 10^{16}cm^{-3}$ on $p$-side and $N_{D}= 1 \times 10^{16}cm^{-3}$ on $n$-side is reverse biased, the...
Milicevic3306
16.0k
points
116
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-2
electronic-devices
intrinsic-and-extrinsic-silicon
+
–
0
votes
0
answers
2668
GATE ECE 2014 Set 2 | Question: 37
The diode in the circuit shown has $V_{on}$= 0.7$ Volts but is ideal otherwise. If $V_{i}= 5 \sin ( \omega t )$Volts, the minimum and maximum values of $V_{o}$ (in Volts ) are, respectively, $-5$ and $2.7$ $2.7$ and $5$ $-5$ and $3.85$ $1.3$ and $5$
The diode in the circuit shown has $V_{on}$$= 0.7$ Volts but is ideal otherwise. If $V_{i}= 5 \sin ( \omega t )$Volts, the minimum and maximum values of $V_{o}$ (in Volts...
Milicevic3306
16.0k
points
75
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-2
analog-circuits
+
–
0
votes
0
answers
2669
GATE ECE 2014 Set 2 | Question: 38
For the n-channel MOS transistor shown in the figure, the threshold voltage $V_{Th}$ is $0.8$ V. Neglect channel length modulation effects. When the drain voltage $V_{D}= 1.6 V,$ the drain current $I_{D}$ was found to be $0.5$ mA. If $V_{D}$is adjusted to be $2$ V ... the values of R and $V_{DD}$, the new value of $I_{D}$ (in mA) is $0.625$ $0.75$ $1.125$ $1.5$
For the n-channel MOS transistor shown in the figure, the threshold voltage $V_{Th}$ is $0.8$ V. Neglect channel length modulation effects. When the drain voltage $V_{D}=...
Milicevic3306
16.0k
points
79
views
Milicevic3306
asked
Mar 26, 2018
Electronic Devices
gate2014-ec-2
electronic-devices
mos-transistor
+
–
0
votes
0
answers
2670
GATE ECE 2014 Set 2 | Question: 39
For the MOSFETs shown in the figure, the threshold voltage $\mid V_{t} \mid= 2$ V and $K= \frac{1}{2}\mu C_{ox} ( \frac{W}{L} ) = 0.1 \: mA/V^{2}$. The value of $I_{D}$ (in mA) is _______________ .
For the MOSFETs shown in the figure, the threshold voltage $\mid V_{t} \mid= 2$ V and $K= \frac{1}{2}\mu C_{ox} ( \frac{W}{L} ) = 0.1 \: mA/V^{2}$. The value of $I_{D}$ ...
Milicevic3306
16.0k
points
88
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-2
numerical-answers
analog-circuits
mosfet
+
–
0
votes
0
answers
2671
GATE ECE 2014 Set 2 | Question: 40
In the circuit shown, choose the correct timing diagram of the output (y) from the given waveforms $W1$, $W2$, $W3$ and $W4$. $W1$ $W2$ $W3$ $W4$
In the circuit shown, choose the correct timing diagram of the output (y) from the given waveforms $W1$, $W2$, $W3$ and $W4$. ...
Milicevic3306
16.0k
points
117
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-2
communications
timing-diagram
+
–
0
votes
0
answers
2672
GATE ECE 2014 Set 2 | Question: 41
The outputs of the two flip-flops $Q1$, $Q2$ in the figure shown are initialized to $0,0$. The sequence generated at $Q1$ upon application of clock signal is $01110 \dots$ $01010\dots$ $00110\dots$ $01100\dots$
The outputs of the two flip-flops $Q1$, $Q2$ in the figure shown are initialized to $0,0$. The sequence generated at $Q1$ upon application of clock signal is $01110 \dots...
Milicevic3306
16.0k
points
148
views
Milicevic3306
asked
Mar 26, 2018
Combinational Circuits
gate2014-ec-2
digital-circuits
sequential-circuit
flip-flops
+
–
0
votes
0
answers
2673
GATE ECE 2014 Set 2 | Question: 42
For the $8085$ microprocessor, the interfacing circuit to input $8$-bit digital data $( DI_{0}-DI_{7})$ from an external device is shown in the figure. The instruction for correct data transfer is $\text{MVI A, F8H}$ $\text{IN F8H}$ $\text{OUT F8H}$ $\text{LDA F8F8H}$
For the $8085$ microprocessor, the interfacing circuit to input $8$-bit digital data $( DI_{0}-DI_{7})$ from an external device is shown in the figure. The instruction fo...
Milicevic3306
16.0k
points
166
views
Milicevic3306
asked
Mar 26, 2018
Digital Circuits
gate2014-ec-2
digital-circuits
combinational-circuits
microprocessor-8085
+
–
0
votes
0
answers
2674
GATE ECE 2014 Set 2 | Question: 43
Consider a discrete-time signal $ x[n]= \begin{cases} n & \text{for } 0\leq n\leq 10 \\ 0 & \text{otherwise }\end{cases}$ If $y[n]$ is the convolution of $x[n]$ with itself, the value of $y[4]$ is _______ .
Consider a discrete-time signal $$ x[n]= \begin{cases} n & \text{for } 0\leq n\leq 10 \\ 0 & \text{otherwise }\end{cases}$$ If $y[n]$ is the convolution of $x[n]$ with it...
Milicevic3306
16.0k
points
89
views
Milicevic3306
asked
Mar 26, 2018
Continuous-time Signals
gate2014-ec-2
numerical-answers
continuous-time-signals
discrete-time-signals
+
–
0
votes
0
answers
2675
GATE ECE 2014 Set 2 | Question: 44
The input-output relationship of a causal stable LTI system is given as $y[n] = \alpha \: y[n-1] + \beta \: x[n]$. If the impulse response $h[n]$ of this system satisfies the condition $\sum_{n=0}^{\infty}h[n]= 2$, the relationship between $\alpha$ and $\beta$ is $\alpha = 1-\beta /2$ $\alpha = 1+\beta /2$ $\alpha = 2\beta$ $\alpha = -2\beta$
The input-output relationship of a causal stable LTI system is given as $$y[n] = \alpha \: y[n-1] + \beta \: x[n]$$. If the impulse response $h[n]$ of this system satisf...
Milicevic3306
16.0k
points
83
views
Milicevic3306
asked
Mar 26, 2018
Communications
gate2014-ec-2
communications
linear-time-invariant-systems
+
–
0
votes
0
answers
2676
GATE ECE 2014 Set 2 | Question: 45
The value of the integral $\int_{-\infty }^{\infty } \text{sinc}^{2}(5t) \: dt$ is _______.
The value of the integral $\int_{-\infty }^{\infty } \text{sinc}^{2}(5t) \: dt$ is _______.
Milicevic3306
16.0k
points
114
views
Milicevic3306
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Mar 26, 2018
Calculus
gate2014-ec-2
numerical-answers
calculus
definite-integrals
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2677
GATE ECE 2014 Set 2 | Question: 46
An unforced linear time invariant (LTI) system is represented by $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} -1 & 0 \\ 0& -2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}$ If the initial conditions are $x_1(0)= 1$ and $x_2(0)= -1$, the solution of the ... $x_{1}(t)= -e^{-t}, \: x_{2}(t)= -2e^{-t}$
An unforced linear time invariant (LTI) system is represented by $$\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} -1 & 0 \\ 0& -2 \end{bmatrix} \begin{bmatrix...
Milicevic3306
16.0k
points
118
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Milicevic3306
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Mar 26, 2018
Continuous-time Signals
gate2014-ec-2
continuous-time-signals
signals-and-systems
linear-time-invariant-systems
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0
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2678
GATE ECE 2014 Set 2 | Question: 47
The Bode asymptotic magnitude plot of a minimum phase system is shown in the figure. If the system is connected in a unity negative feedback configuration, the steady state error of the closed loop system, to a unit ramp input, is _________.
The Bode asymptotic magnitude plot of a minimum phase system is shown in the figure. If the syste...
Milicevic3306
16.0k
points
112
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Milicevic3306
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Mar 26, 2018
Control Systems
gate2014-ec-2
numerical-answers
control-systems
bode-and-root-locus-plots
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0
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2679
GATE ECE 2014 Set 2 | Question: 48
Consider the state space system expressed by the signal flow diagram shown in the figure. The corresponding system is always controllable always observable always stable always unstable
Consider the state space system expressed by the signal flow diagram shown in the figure. The corresponding system isalways controllablealw...
Milicevic3306
16.0k
points
148
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Milicevic3306
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Mar 26, 2018
Continuous-time Signals
gate2014-ec-2
continuous-time-signals
to-be-tagged
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0
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0
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2680
GATE ECE 2014 Set 2 | Question: 49
The input to a $1$ – bit quantizer is a random variable $X$ with pdf $f_{X}( x )= 2e^{-2x}$ for $x\geq 0$ and $f_{X} (x )= 0$ for $x< 0$. For outputs to be of equal probability, the quantizer threshold should be ______.
The input to a $1$ – bit quantizer is a random variable $X$ with pdf $f_{X}( x )= 2e^{-2x}$ for $x\geq 0$ and $f_{X} (x )= 0$ for $x< 0$. For outputs to be of equal pro...
Milicevic3306
16.0k
points
100
views
Milicevic3306
asked
Mar 26, 2018
Probability and Statistics
gate2014-ec-2
numerical-answers
probability-and-statistics
probability
probability-density-function
random-variable
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