GATE ECE 2006 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

A zero-mean white Gaussian noise is passed through an ideal low-pass filter of bandwidth 10 kHz. The output is then uniformly sampled with sampling period t_s = 0.03 msec. The samples so obtained would be

correlated

statistically independent

uncorrelated

orthogonal

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

The following question refer to wide sense stationary stochastic process:

It is desired to generate a stochastic process (as voltage process) with power spectral density

$$$S\left( \omega \right) = {{16} \over {16 + {\omega ^2}}}$$$

By driving a Linear-Time-Invariant system by zero mean white noise (as voltage process) with power spectral density being constant equal to 1. The system which can perform the desired task could be

first order lowpass R-L filter

first order highpass R-c filter

tuned L-C filter

series R-L-C filter

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

The following question refer to wide sense stationary stochastic process:

The parameters of the system obtained in Q. 12 would be

first order R-L low pass filter would have $$R = 4\Omega \,L = 1\,H$$

first order R-C high pass filter would have $$R = 4\Omega \,C = 0.25F$$

tuned L-C filter would have $$L = 4H\,\,C = 4F.$$

series R-L-C low pass filter would have $$R = 1\Omega ,\,L = 4H,\,\,C = 4F.$$

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

The minimum step-size required for a Delta-Modulator operating at 32 K samples/sec to track the signal (here u(t) is the unit-step function)

x(t) = 125t(u(t) - u (t - 1) + (250 - 125t) (u (t - 1) - u (t - 2 )) so that slope - overload is avoided, would be

$${2^{ - 10}}$$

$${2^{ - 8}}$$

$${2^{ - 6}}$$

$${2^{ - 4}}$$

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