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## GATE ECE 2007

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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## GATE ECE

In a transconductance amplifier , it is desirable to have
For the BJT circuit shown, assume that the $$\beta$$ of the transistor is very...
For the Op-Amp circuit shown in the figure, V<sub>0</sub> is <img class="questio...
In the Op-Amp circuit shown, assume that the diode current follows the equation ...
Consider the OP-Amp circuit shown in the figure. <p>The transfer function $${V_o... Consider the OP-Amp circuit shown in the figure.<img class="question-image" src=... A Hilbert transformer is a In delta modulation, the slope overload distortion can be reduced by In a GSM system, 8 channels can co-exist in 200 KHz bandwidth using TDMA. A GSM ... The raised cosine pulse p(t) is used for zero ISI in digital communications. The... In a Direct sequence CDMA system the chip rate is$$1.2288\,\, \times \,\,{10^6}...
During transmission over a certain binary communication channel, bit errors occu...
An input to a 6-level quantizer has the probability density function f(X) as sho...
An input to a 6-level quantizer has the probability density function f(X) as sho...
If E denotes expectation, the variance of a random variable X is given by
Two 4-ray signal constellations are shown. It is given that $${\phi _1}$$ and $$... Two 4-ray signal constellations are shown. It is given that$${\phi _1}$$and$$...
If the Laplace transform of a signal y(t) is $$Y\left(s\right)\;=\;\frac1{s\le... The frequency response of a linear, time-invariant system is given by$$H\left(f...
A unity feedback control system has an open-loop transfer function $$G\left(s\r... The transfer function of a plant is$$\$T\left(s\right)=\frac5{\left(s+5\right)\l...
If the closed-loop transfer function of a control system is given as T(s)=$${{s ... The asymptotic Bode plot of a transfer function is shown in the figure. the tran... The open-loop transfer function of a plant is given as$$G(s) = {1 \over {{s^2} ...
A control system with a PD controller is shown in the figure. If the velocity er...
Consider a linear system whose state space Representation is $$\mathop x\limits^... Consider a linear system whose state space Representation is$$\mathop x\limits^...
The state space representation of a separately excited <b>DC</b> servo motor dyn...
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s comple...
The Boolean function Y=AB+CD is to be realized using only 2-input NAND gates. Th...
The Boolean expression Y= $$\overline A \,\overline B \,\overline C \,D + \overl... In the following circuit, X is given by <img class="question-image" src="https:... For the circuit shown, the counter state (Q<sub>1</sub> Q<sub>0</sub>) follows t... The circuit diagram of a standard TTL NOT gate is shown in the figure. When$${V...
The following binary values were applied to the X and Y inputs of the NAND latch...
In the digital-to-Analog converter circuit shown in the figure below, <br>$${V_{... In the digital-to-Analog converter circuit shown in the figure below, <br>$${V_{...
A plane wave of wavelength $$\lambda$$ is traveling in a direction making an an...
A load of 50 $$\Omega$$ is connected in shunt in a 2-wire transmission line of ...
The parallel branches of a 2-wire transmission line are terminated in 100 $$\Ome... If C is a closed curve enclosing a surface S, then the magnetic field intensity ... The$$\overrightarrow H $$field (in A/m) of a plane wave propagating in free s... An air-filled rectangular waveguide has inner dimensions of$$3\,cm\,\, \times \...
The $$\mathop E\limits^ \to$$ field in a rectangular waveguide of inner dimens...
A $$\lambda /2$$ dipole is kept horizontally at a height of $${\lambda _0}/2$$ a...
In a p<sup>+</sup>n junction diode under reverse bias, the magnitude of electri...
A P<sup>+</sup>-N junction has a built-in potential of 0.8 V. The depletion laye...
The DC current gain ($$\beta$$) of a BJT is 50. Assuming that the emitter inject...
In the CMOS inverter circuit shown, if the transconductance parameters of the NM...
$$\mathop {Lim}\limits_{\theta \to 0} {{\sin \left( {\theta /2} \right)} \over ... The following plot shows a function$$y$$which varies linearly with$$x$$. The ... For the function$${e^{ - x}},$$the linear approximation around$$x=2$$is For$$\left| x \right| &lt; &lt; 1,\,\cot \,h\left( x \right)\,\,\,$$can be ap... Consider the function$$\,f\left( x \right) = {x^2} - x - 2.\,$$The maximum val... If$$E$$denotes expectation, the variance of a random variable$$X$$is given b... An examination consists of two papers, paper$$1$$and paper$$2.$$The probabil... The solution of the differential equation$${k^2}{{{d^2}y} \over {d\,{x^2}}} = y...
The value of $$\oint\limits_C {{1 \over {\left( {1 + {z^2}} \right)}}} dz$$ wher...
The equation $${x^3} - {x^2} + 4x - 4 = 0\,\,$$ is to be solved using the Newton...
If the semi-circular contour D of radius 2 is as shown in the figure, then the v...
An 8085 assembly language program is given below. <br> Line 1: MVI A, B5H <br> ...
An 8085 assembly language program is given below. <br> Line 1: MVI A, B5H <br> ...
An independent voltage source in series with an impedance Z<sub>s</sub>=R<sub>s<...
For the circuit shown in the figure, the Thevenin voltage and resistance looking...
In the circuit shown, V<sub>C</sub> is 0 volts at t = 0 sec. For t &gt; 0, the c...
The RC circuit shown in the figure is<br/><br/> <img src="https://app-content.cd...
In the AC network shown in the figure, the phasor voltage V<sub>AB</sub> (in Vo...
Two series resonant filters are as shown in the figure. Let the $$3$$-dB bandwid...
If the Laplace transform of a signal y(t) is $$Y\left( s \right) = {1 \over {s\l... A 5-point sequence x [n] is given as x$$\left[ { - 3} \right]$$=1, x$$\left[ {...
The z-transform X (z) f a sequence x$$\left[ n \right]$$ is given by = $${{0.5}... The frequency response of a linear, time-invariant system is given by H(f) =$${...
The 3 - dB bandwidth of the low - pass signal $${e^{ - 1}}$$ u(t), where u(t) is...
A Hilbert transformer is a
In the following scheme, if the spectrum M(f) of m(t) is as shown, then the spec...

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