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2642
GATE ECE 1997 | Question 5.2
If the Fourier Transform of deterministic signal $\mathrm{g}(\mathrm{t})$ is $\mathrm{G}(f)$, then (1) The Fourier Transform of $g(t-2)$ is $G(f) e^{-j(4 \pi f)}$ (2) The Fourier Transform of $g(t / 2)$ is $G(2 f)$ $2 G(2 f)$ $G(f-2)$
If the Fourier Transform of deterministic signal $\mathrm{g}(\mathrm{t})$ is $\mathrm{G}(f)$, then(1) The Fourier Transform of $g(t-2)$ is$G(f) e^{-j(4 \pi f)}$(2) The Fo...
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2643
GATE ECE 1997 | Question 5.3
(1) An $8$-bit wide $5$ word sequential memory will have $8$ Fixed $\text{‘AND'}$ gates and $4$ programmable $\text{‘OR'}$ gates (2) A $256 \times 4$ $\text{EFROM}$ has Eight $4$ bit shift registers $4$ words of $32$ bits each $8$ address pins and $4$ data pins output
(1) An $8$-bit wide $5$ word sequential memory will have$8$ Fixed $\text{‘AND'}$ gates and $4$ programmable $\text{‘OR'}$ gates(2) A $256 \times 4$ $\text{EFROM}$ has...
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2646
GATE ECE 2001 | Question: 2.20
During transmission over a communication channel, bit errors occur independently with probability p. If a block of $n$ bits is transmitted, the probability of at most one bit error is equal to $1-(1-p)^n$ $p+(n-1)(1-p)$ $n p(1-p)^{n-1}$ $(1-p)^{n}+ n p(1-p)^{n-1}$
During transmission over a communication channel, bit errors occur independently with probability p. If a block of $n$ bits is transmitted, the probability of at most one...
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2648
GATE ECE 2002 | Question: 2.15
The transfer function of a system is $\mathrm{G}(s)=\frac{100}{(s+1)(s+100)}$. For a unit-step input to the system the approximate settling time for $2 \%$ criterion is $100 \; \mathrm{sec}$ $4 \; \mathrm{sec}$ $1 \; \mathrm{sec}$ $0.01 \; \mathrm{sec}$
The transfer function of a system is $\mathrm{G}(s)=\frac{100}{(s+1)(s+100)}$. For a unit-step input to the system the approximate settling time for $2 \%$ criterion is$1...
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2649
GATE ECE 1998 | Question 2.4
An equivalent $2^{\prime} s$ complement representation of the $2$'s complement number $1101$ is $110100$ $001101$ $110111$ $111101$
An equivalent $2^{\prime} s$ complement representation of the $2$'s complement number $1101$ is$110100$$001101$$110111$$111101$
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2650
GATE ECE 1998 | Question 2.14
For small signal $a.c$. operation, a practical forward biased diode can be modelled as a resistance and a capacitance in series an ideal diode and resistance in parallel a resistance and an ideal diode in series a resistance
For small signal $a.c$. operation, a practical forward biased diode can be modelled asa resistance and a capacitance in seriesan ideal diode and resistance in parallela r...
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2651
GATE ECE 1998 | Question 2.19
The Fourier transform of a function $x(t)$ is $\mathrm{X}(f)$. The Fourier transform of $\frac{d \mathrm{X}(f)}{d f}$ will be $\frac{dX(f)}{d f}$ $j 2 \pi f X(f)$ $jf X(f)$ $\frac{X(f)}{if}$
The Fourier transform of a function $x(t)$ is $\mathrm{X}(f)$. The Fourier transform of $\frac{d \mathrm{X}(f)}{d f}$ will be$\frac{dX(f)}{d f}$$j 2 \pi f X(f)$$jf X(f)$$...
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2652
GATE ECE 1998 | Question 20
An $\text{SSB}$ signal is demodulated by using a synchronous demodulator. However, the locally arranged carrier has a phase error $0$. Determine the effect of the error on demodulation. What will be the effect of this error if the input is $\text{DSB-SC}$ in place of $\text{SSB}$?
An $\text{SSB}$ signal is demodulated by using a synchronous demodulator. However, the locally arranged carrier has a phase error $0$. Determine the effect of the error o...
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2653
GATE ECE 2004 | Question: 88
Consider an impedance $\mathrm{Z = R + j X }$ marked with point $\mathrm{P}$ in an impedance Smith chart as shown in the figure. The movement from point $\mathrm{P}$ ... series with $\mathrm{Z}$ adding an inductance in shunt across $\mathrm{Z}$ adding a capacitance in shunt across $\mathrm{Z}$
Consider an impedance $\mathrm{Z = R + j X }$ marked with point $\mathrm{P}$ in an impedance Smith chart as shown in the figure. The movement from point $\mathrm{P}$ alon...
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2654
GATE ECE 2005 | Question: 68
An unity feedback system is given as, $\mathrm{G}(s)=\frac{\mathrm{K}(1-s)}{s(s+3)}$ Indicate the correct root locus diagram.
An unity feedback system is given as,$\mathrm{G}(s)=\frac{\mathrm{K}(1-s)}{s(s+3)}$Indicate the correct root locus diagram.
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2656
GATE ECE 1996 | Question 1.10
Schottky clamping is resorted in $\text{TTL}$ gates to reduce propagation delay to increase noise margins to increase packing density to increase fan-out
Schottky clamping is resorted in $\text{TTL}$ gatesto reduce propagation delayto increase noise marginsto increase packing densityto increase fan-out
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2657
GATE ECE 2008 | Question: 56
The two numbers represented in signed $2\text{'s}$ complement form are $\mathrm{P}=11101101$ and $\mathrm{Q}=11100110$. If $\mathrm{Q}$ is subtracted from $\mathrm{P}$, the value obtained in signed $2\text{'s}$ complement form is $100000111$ $00000111$ $11111001$ $111111001$
The two numbers represented in signed $2\text{'s}$ complement form are $\mathrm{P}=11101101$ and $\mathrm{Q}=11100110$. If $\mathrm{Q}$ is subtracted from $\mathrm{P}$, t...
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2658
GATE ECE 1993 | Question 6.12
$2$'s complement representation of a $16$ – bit number (one sign bit and $15$ magnitude bits) is $\text{FFFI}$. Its magnitude in decimal representation is $0$ $1$ $32,767$ $65,535$
$2$'s complement representation of a $16$ – bit number (one sign bit and $15$ magnitude bits) is $\text{FFFI}$. Its magnitude in decimal representation is$0$$1$$32,767$...
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2659
GATE ECE 1993 | Question 6.20
A superheterodyne radio receiver with an intermediate frequency of $455 \; \mathrm{KHz}$ is tuned to a station operating at $1200 \; \mathrm{KHz}$. The associated image frequency is $\dots \text{KHz}$.
A superheterodyne radio receiver with an intermediate frequency of $455 \; \mathrm{KHz}$ is tuned to a station operating at $1200 \; \mathrm{KHz}$. The associated image f...
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2660
GATE ECE 2010 | Question: 6
At room temperature a possible value for the mobility of electrons in the inversion layer of a silicon $n$-channel MOSFET is $450 \text{ cm}^2 / \text{V-s}$ $1350 \text{ cm}^2 / \text{V-s}$ $1800 \text{ cm}^2 / \text{V-s}$ $3600 \text{ cm}^2 / \text{V-s}$
At room temperature a possible value for the mobility of electrons in the inversion layer of a silicon $n$-channel MOSFET is$450 \text{ cm}^2 / \text{V-s}$$1350 \text{ cm...
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2661
GATE ECE 2010 | Question: 15
Two discrete time systems with impulse responses $h_t[n]=\delta[n-1]$ and $h_2[n]=\delta[n-2]$ are connected in cascade. The overall impulse response of the cascaded system is $\delta[n-1]+ \delta[n-2]$ $\delta[n-4]$ $\delta[n-3]$ $\delta[n-1] \delta[n-2]$
Two discrete time systems with impulse responses $h_t[n]=\delta[n-1]$ and $h_2[n]=\delta[n-2]$ are connected in cascade. The overall impulse response of the cascaded syst...
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2662
GATE ECE 2010 | Question: 49
Consider the common emitter amplifier shown below with the following circuit parameters: ... $\mathrm{C}_{2}$ is $33.9 \mathrm{~Hz}$ $27.1 \mathrm{~Hz}$ $13.6 \mathrm{~Hz}$ $16.9 \mathrm{~Hz}$
Consider the common emitter amplifier shown below with the following circuit parameters: $\beta=100, g_{m}=0.3861 \mathrm{~A / V}, \mathrm{r}_{\mathrm{o}}=\infty, \mathrm...
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2663
GATE ECE 1991 | Question 11
(a) A Gaussian random variable with zero mean and variance $\sigma$ ... the auto correlation function $R_y(i)$ and power spectral density $S_y(\omega)$ of $Y(t)$ in terms of those of $X(t)$.
(a) A Gaussian random variable with zero mean and variance $\sigma$ is input to a limiter with input output characteristic given by$$ \begin{array}{ll} e_{\text {out }}=e...
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2665
GATE ECE 2011 | Question: 54
In the circuit shown below, assume that the voltage drop across a forward biased diode is $0.7 \mathrm{~V}$. The thermal voltage $\mathrm{V}_{\mathrm{t}}=\mathrm{kT} / \mathrm{q}=25 \mathrm{mV}$ ... $1 \mathrm{~mA}$ $1.28 \mathrm{~mA}$ $1.5 \mathrm{~mA}$ $2 \mathrm{~mA}$
In the circuit shown below, assume that the voltage drop across a forward biased diode is $0.7 \mathrm{~V}$. The thermal voltage $\mathrm{V}_{\mathrm{t}}=\mathrm{kT} / \m...
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2673
GATE ECE 2002 | Question: 2.14
The system shown in the figure is remains stable when $k<-1$ $-1 < k < 1$ $1 < k < 3$ $k>3$
The system shown in the figure is remains stable when$k<-1$$-1 < k < 1$$1 < k < 3$$k>3$
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2675
GATE ECE 2002 | Question: 15
The block diagram of a linear time invariant system is given in the figure is Write down the state variable equations for the system in matrix form assuming the state vector to be $\left[x_{1}(t) x_{2}(t)\right]^{\mathrm{T}}$ ... $t=0$ are $x_{1}(0)=1$, and $x_{2}(0)=1.$
The block diagram of a linear time invariant system is given in the figure isWrite down the state variable equations for the system in matrix form assuming the state vect...
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2677
GATE ECE 1998 | Question: 5
Draw the transfer characteristic of the circuit of the figure assuming both $D_{1}$ and $D_{2}$ to be ideal. How would the characteristic change if $D_{2}$ is ideal, but $D_{1}$ is non-ideal in that it has forward resistance of $10 \; \Omega$ a reverse resistance of infinity?
Draw the transfer characteristic of the circuit of the figure assuming both $D_{1}$ and $D_{2}$ to be ideal.How would the characteristic change if $D_{2}$ is ideal, but $...
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2678
GATE ECE 1998 | Question 10
Consider the system shown in the figure is. Determine the value of a such that the damping ratio is $0.5$. Also obtain the values of the rise time $t_{r}$ and maximum overshoot $M_{p}$ in its step response.
Consider the system shown in the figure is. Determine the value of a such that the damping ratio is $0.5$. Also obtain the values of the rise time $t_{r}$ and maximum ove...
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2679
GATE ECE 2003 | Question: 86
A uniform plane wave travelling in air is incident on the plane boundary between air and another dielectric medium with $\varepsilon_{r}=4$. The reflection coefficient for the normal incidence, is zero $0.5 \angle 180^{\circ}$ $0.333 \angle 0^{\circ}$ $0.333 \angle 180^{\circ}$
A uniform plane wave travelling in air is incident on the plane boundary between air and another dielectric medium with $\varepsilon_{r}=4$. The reflection coefficient fo...
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2680
GATE ECE 2006 | Question: 61
A zero- mean white Gaussian noise is passed through an ideal lowpass filter of ban width $10 \; \mathrm{kHz}$. The output is the uniformly sampled with sampling period $t_{s}=0.03 \; \mathrm{msec}$. The samples so obtained would be correlated statistically independent uncorrelated orthogonal
A zero- mean white Gaussian noise is passed through an ideal lowpass filter of ban width $10 \; \mathrm{kHz}$. The output is the uniformly sampled with sampling period $t...
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