1
GATE ECE 2022
MCQ (Single Correct Answer)
+1
-0.33

The frequency response H(f) of a linear time-invariant system has magnitude as shown in the figure.

Statement I : The system is necessarily a pure delay system for inputs which are bandlimited to $$-$$$$\alpha$$ $$\le$$ f $$\le$$ $$\alpha$$.

Statement II : For any wide-sense stationary input process with power spectral density SX(f), the output power spectral density SY(f) obeys SY(f) = SX(f) for $$-$$$$\alpha$$ $$\le$$ f $$\le$$ $$\alpha$$.

Which one of the following combinations is true?

GATE ECE 2022 Communications - Random Signals and Noise Question 2 English

A
Statement I is correct, Statement II is correct
B
Statement I is correct, Statement II is incorrect
C
Statement I is incorrect, Statement II is correct
D
Statement I is incorrect, Statement II is incorrect
2
GATE ECE 2022
MCQ (More than One Correct Answer)
+1
-0.33

Let H(X) denote the entropy of a discrete random variable X taking K possible distinct real values. Which of the following statements is/are necessarily true?

A
H(X) $$\le$$ log2 K bits
B
H(X) $$\le$$ H(2X)
C
H(X) $$\le$$ H(X2)
D
H(X) $$\le$$ H(2X)
3
GATE ECE 2022
Numerical
+1
-0.33

A symbol stream contains alternate QPSK and 16-QAM symbols. If symbols from this stream are transmitted at the rate of 1 mega-symbols per second, the raw (uncoded) data rate is _________ mega-bits per second (rounded off to one decimal place).

Your input ____
4
GATE ECE 2022
MCQ (Single Correct Answer)
+1
-0.33

Consider an FM broadcast that employs the pre-emphasis filter with frequency response

$${H_{pe}}(\omega ) = 1 + {{j\omega } \over {{\omega _0}}}$$,

where $$\omega$$0 = 104 rad/sec.

For the network shown in the figure to act as a corresponding de-emphasis filter, the appropriate pairs of (R, C) values is/are ____________.

GATE ECE 2022 Communications - Analog Communication Systems Question 1 English

A
R = 1 k$$\Omega$$, C = 0.1 $$\mu$$F
B
R = 2 k$$\Omega$$, C = 1 $$\mu$$F
C
R = 1 k$$\Omega$$, C = 2 $$\mu$$F
D
R = 2 k$$\Omega$$, C = 0.5 $$\mu$$F
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