1
GATE ECE 2024
Numerical
+1
-0.33

An amplitude modulator has output (in Volts)

$$s(t) = A \cos(400 \pi t) + B \cos(360 \pi t) + B \cos(440 \pi t)$$.

The carrier power normalized to $1\Omega$ resistance is 50 Watts. The ratio of the total sideband power to the total power is 1/9. The value of $B$ (in Volts, rounded off to two decimal places) is _______.

Your input ____
2
GATE ECE 2024
Numerical
+1
-0.33

A source transmits symbols from an alphabet of size 16. The value of maximum achievable entropy (in bits) is _______ .

Your input ____
3
GATE ECE 2024
MCQ (Single Correct Answer)
+2
-1.33

A source transmits a symbol $s$, taken from $\\{-4, 0, 4\\}$ with equal probability, over an additive white Gaussian noise channel. The received noisy symbol $r$ is given by $r = s + w$, where the noise $w$ is zero mean with variance 4 and is independent of $s$.

Using $Q(x) = \frac{1}{\sqrt{2\pi}} \int\limits_{x}^{\infty} e^{-\frac{t^{2}}{2}} dt$, the optimum symbol error probability is _______.

A

$\frac{2}{3} Q(2)$

B

$\frac{4}{3} Q(1)$

C

$\frac{2}{3} Q(1)$

D

$\frac{4}{3} Q(2)$

4
GATE ECE 2024
MCQ (Single Correct Answer)
+2
-1.33

The information bit sequence {1 1 1 0 1 0 1 0 1} is to be transmitted by encoding with Cyclic Redundancy Check 4 (CRC-4) code, for which the generator polynomial is $C(x) = x^4 + x + 1$. The encoded sequence of bits is ____.

A

{1 1 1 0 1 0 1 1 1 0 0}

B

{1 1 1 0 1 0 1 1 1 0 1}

C

{1 1 1 0 1 0 1 1 1 1 0}

D

{1 1 1 0 1 0 1 0 1 0 0}

EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12