GATE ECE 2009 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2009

MCQ (Single Correct Answer)

-0.6

A communication channel with AWGN operating at a signal to noise ratio SNR > > 1 and band width B has capacity $${{C_1}}$$ . If the SNR is doubled keeping B constant, the resulting capacity $${{C_2}}$$ is given

$${C_2}\, \approx \,2\,{C_1}\,$$

$${C_2}\, \approx \,{C_1}\, + \,B$$

$${C_2}\, \approx \,{C_1}\, + \,2B$$

$${C_2}\, \approx \,{C_1}\, + \,0.3B$$

GATE ECE 2009

MCQ (Single Correct Answer)

-0.6

The amplitude of random signal is uniformly distributed between $$-$$5V and 5V

If the signal to quantization noise ratio required in uniformly quantizing the signals is 43.5 dB, the step size of the quantization is approximately

0.0333 V

0.05 V

0.0667 V

0.10 V

GATE ECE 2009

MCQ (Single Correct Answer)

-0.6

The amplitude of random signal is uniformly distributed between $$-$$5V and 5V

If the positive values of the signal are uniformly quantized with a step size of 0.05 V, and the negative values are uniformly quantized with a step size of 0.1V, the resulting signal to quantization noise ratio is approximately

46 dB

43.8 dB

42 dB

40 dB

GATE ECE 2009

MCQ (Single Correct Answer)

-0.6

The unit step response of an under-damped second order system has steady state value of -2. Which one of the following transfer function has these properties?

$$\frac{-2.24}{s^2\;+\;2.59s\;+\;1.12}$$

$$\frac{-3.82}{s^2\;+\;1.91s\;+\;1.91}$$

$$\frac{-2.24}{s^2\;-\;2.59s\;+\;1.12}$$

$$\frac{-3.82}{s^2\;-\;1.91s\;+\;1.91}$$

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