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## GATE ECE 2006

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

The input impedance (Z<sub>i</sub>) and the output impedance (Z<sub>o</sub>) of ...
In the transistor amplifier circuit shown in the figure below, the transistor ha...
In the transistor amplifier circuit shown in the figure below, the transistor ha...
In the transistor amplifier circuit shown in the figure below, the transistor ha...
An n-channel depletion MOSFET has following two points on its I<sub>D</sub> - V<...
A regulated power supply, shown in figure below, has an unregulated input (UR) o...
A regulated power supply, shown in figure below, has an unregulated input (UR) o...
For the circuit shown in the following figure, the capacitor C is initially unch...
The diagonal clipping in Amplitude Demodulation (using envelope detector) can be...
A zero-mean white Gaussian noise is passed through an ideal low-pass filter of b...
The following question refer to wide sense stationary stochastic process: <...
The following question refer to wide sense stationary stochastic process: <...
The minimum step-size required for a Delta-Modulator operating at 32 K samples/s...
In the following figure the minimum value of the constant “C”, which is to be ad...
Let $$g\left( t \right){\mkern 1mu} {\mkern 1mu} \,\,\,\,\,{\mkern 1mu} = {\mke... A source generates three symbols with probabilities 0.25, 0.25, 0.50 at a rate o... The unit impulse response of a system is:$$$h\left(t\right)\;=\;e^{-t},\;t\geq... The positive values of “K” and “a” so that the system shown in the figure below ... The unit-step response of a system starting from rest is given by $$\mathrm c\l... The open-loop transfer function of a unity-gain feedback control system is given... In the system shown below, x(t)=(sin t). In steady-state, the response y(t) will... Consider two transfer functions$${G_1}\left( s \right) = {1 \over {{s^2} + as +... The Nyquist plot of G(jω)H(jω) for a closed loop control system, passes through ... Consider a unity-gain feedback control system whose open-loop transfer function ... Consider a unity-gain feedback control system whose open-loop transfer function ... The transfer function of a phase-lead compensator is given by $${G_c}(s) = {{1 +... A linear system is described by the following state equation$$$\mathop x\limits...
A new Binary Coded Pentary (BCP) number system is proposed in which every digit ...
The number of product terms in the minimized sum-of-product expression obtained ...
The point p in the following figure is stuck- at-1. The output f will be <img cl...
Two D-flip-flops, as shown below, are to be connected as a synchronous counter t...
A 4-bit D/A converter is connected to a free-running 3-bit UP counter, as shown ...
$$\int\int\left(\nabla\times\mathrm P\right)\;\cdot\mathrm{ds}$$ , where is a ve...
The electric field of an electromagnetic wave propagating in the positive z-dire...
A medium of relative permittivityb $${\varepsilon _r} = 2$$ forms an interface w...
$$\nabla \times \nabla \times P$$, where P is a vector, is equal to
A medium is divided into regions $${\rm I}$$ and $${\rm I}$$$${\rm I}$$ about $$... When a plane wave traveling in free-space is incident normally on a medium havin... A rectangular waveguide having$$T{E_{10}}$$mode as dominant mode is having a c... A mast antenna consisting of a 50 meter long vertical conductor operates over a ... A transmission line is feeding 1 Watt of power to a horn antenna having gain of ... Under low level injection assumption, the injected minority carrier current for ... The concentration of minority carriers in an extrinsic semiconductor under equil... An n-channel depletion MOSFET has following two points on its I<sub>D</sub> − V<... For the matrix$$\left[ {\matrix{ 4 &amp; 2 \cr 2 &amp; 4 \cr } } \r...
The rank of the matrix $$\left[ {\matrix{ 1 &amp; 1 &amp; 1 \cr 1 &amp; ... The eigen values and the correspondinng eigen vectors of a$$2 \times 2$$matrix... For the differential equation$${{{d^2}y} \over {d{x^2}}} + {k^2}y = 0,$$the bo... The value of the counter integral$$\$\int\limits_{\left| {z - j} \right| = 2} {{...
For the function of a complex variable w = lnz (where w = u + jv and z = x + jy)...
Consider the function $$f(t)$$ having laplace transform <br>$$F\left( s \right)... An I/O peripheral device shown in figure (b) below is to be interfaced to an 808... Following is the segment of a 8085 assembly Language program: <br> LXI SP, EFFF... A 2mH inductor with some initial current can be represented as shown below,... In the figure shown below, assume that all the capacitors are initially uncharge... In the two port network shown in the figure below, z<sub>12</sub> and z<sub>21</... A two-port network is represented by ABCD parameters given by$$\left[ {\matrix...
Let x(t) $$\leftrightarrow$$ X($$(j\omega )$$ BE Fourier transform pair. The F...
Consider the function f(t) having Laplace transform $$F\left( s \right) = {{{\o... If the region of convergence of$${x_1}\left[ n \right]$$+$${x_2}\left[ n \rig...
Let g(t) = p(t) * p(t), where * denotes convolution and p(t) = u(t) - (t-1) with...
A system with input $$x\left( n \right)$$ and output $$y\left( n \right)$$ is gi...
In the system shown below, <br> x(t) = (sint)u(t). In steady-state, the respons...
A low-pass filter having a frequency response $$H(j\omega )$$ = $$A(\omega ){e^{... The minimum sampling frequency (in samples /sec) required to reconstruct the fo... A signal m(t) with bandwidth 500 Hz is first multiplied by a signal g(t) where ... A solution for the differential equation$$\mathop x\limits^. $$(t) + 2 x (t) = ... The Dirac delta function$$\delta (t)$$is defined as As x is increased from$$ - \infty \,\,to\,\infty $$, the function$$f(x) = {{{e...

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