# Electronics and Communication Engg - GATE 2010 Paper Solution

The eigen values of a skew-symmetric matrix are

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The trigonometric Fourier series for the waveform f(t) shown below contains

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A function n(x) satisfied the differential equation $\frac{{d}^{2}n\left(x\right)}{d{x}^{2}}-\frac{n\left(x\right)}{{L}^{2}}=0$ where L is a constant. The boundary conditions are: n(0)=K and n ( ∞ ) = 0. The solution to this equation is

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For the two-port network shown below, the short-circuit admittance parameter matrix is

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For parallel RLC circuit, which one of the following statements is NOT correct?

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At room temperature, a possible value for the mobility of electrons in the inversion layer of a silicon n-channel MOSFET is

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Thin gate oxide in a CMOS process in preferably grown using

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In the silicon BJT circuit shown below, assume that the emitter area of transistor Q1 is half that of transistor Q2.

The value of current I0 is approximately

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The amplifier circuit shown below uses a silicon transistor. The capacitors Cc and CE can be assumed to be short at signal frequency and the effect of output resistance r0 can be ignored. If CE is disconnected from the circuit, which one of the following statements is TRUE?

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Assuming the OP-AMP to be ideal, the voltage gain of the amplifier shown below is

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Match the logic gates in Column A with their equivalents in Column B.

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For the output F to be 1 in the logic circuit shown, the input combination should be

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In the circuit shown, the device connected to Y5 can have address in the range

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Consider the z-transform X(z) = 5z2 + 4z-1 + 3; 0<|z| < ∞ . The inverse z transform x[n] is

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Two discrete time systems with impulse responses h1[n] = δ [n -1] and h2[n] = δ [n – 2] are connected in cascade. The overall impulse response of the cascaded system is

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For an N-point FFT algorithm with N = 2m which one of the following statements is TRUE?

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The transfer function Y(s)/R(s) of the system shown is

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A system with transfer function $\frac{Y\left(s\right)}{X\left(s\right)}=\frac{s}{s+p}$ has an output $y\left(t\right)=\mathrm{cos}\left(2t-\frac{\mathrm{\pi }}{3}\right)$ for the input signal Then, the system parameter ‘p’ is

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For the asymptotic Bode magnitude plot shown below, the system transfer function can be

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Suppose that the modulating signal is m(t) = 2cos (2$\pi$ fmt) and the carrier signal is xC(t) = AC cos(2$\pi$fct), which one of the following is a conventional AM signal without over-modulation?