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Consider a binary digital communication system with equally likely 0's and 1's. When binary 0 is transmitted the detector input can lie between the levels -0.25V and +0.25V with equal probability: when binary 1 is transmitted, the voltage at the detector can have any value between 0 and 1 V with equal probability. If the detector has a threshold of 0.2 V (i.e., if the received signal is greater than 0.2 V, the bit is taken as 1), the average bit error probability is
A
0.15
B
0.2
C
0.05
D
0.5
Correct Answer:
0.15
A source produces binary data at the rate of 10 kbps. The binary symbols are represented as shown in the figure.
The source output is transmitted using two modulation schemes, namely Binary PSK (BPSK) and Quadrature PSK (QPSK). Let and B2 be the bandwidth requirements of BPSK and QPSK respectively. Assuming that the bandwidth of the above rectangular pulses is 10 kHz, B
1
and B
2
are
A
B<sub>1</sub> = 20 kHz, B<sub>2</sub> = 20 kHz
B
B<sub>1</sub> = 10 kHz, B<sub>2</sub> = 20 kHz
C
B<sub>1</sub> = 20 kHz, B<sub>2</sub> = 10 kHz
D
B<sub>1</sub> = 10 kHz, B<sub>2</sub>= 10 kHz
A deterministic signal has the power spectrum given in figure. The minimum sampling rate needed to completely represent signal is
A
1 kHz
B
2 kHz
C
3 kHz
D
None of these
Consider the signal x(t) shown in the figure. Let h(t) denote the impulse response of the filter matched to x(t), with h(t) being non-zero only in the interval 0 to 4 sec. The slope of h(t) in the interval 3
A
$$\frac{1}{2}{\sec ^{ - 1}}$$
B
-1 sec<sup>-1</sup>
C
$$ - \frac{1}{2}{\sec ^{ - 1}}$$
D
1 sec<sup>-1</sup>
Consider a Binary Symmetric Channel (BSC) with probability of error being p. To transmit a bit, say 1, we transmit a sequence of three 1 s. The receiver will interpret the received sequence to represent 1 if at least two bits are 1. The probability that the transmitted bit will be received in error is
A
p<sup>3</sup> + 3p<sup>2</sup> (1- p)
B
p<sup>3</sup>
C
(1 - p)<sup>3</sup>
D
p<sup>3</sup> + p<sup>2</sup> (1 - p)
Consider a system whose input r and output y are related by the equation $$y\left( t \right) = \int\limits_{ - \infty }^\infty {x\left( {t - \tau } \right)} h\left( {2\tau } \right)d\tau $$
Where h(t) is shown in the graph
Which of the following four properties are possessed by the system? BIBO: Bounded input gives a bounded output
Causal: The system is causal.
LP : The system is low pass.
LTI: The system is linear and time-invariant.
A
Causal, LP
B
BIBO, LTI
C
BIBO, Causal, LTI
D
LP, LTI
Which of the following statements are true?
1. The classical approach to probability theory requires that the total number of possible outcomes be known or calculated and that each of the outcomes be equally likely.
2. A marginal probability is also known as unconditional probability.
3. For three independent events, the joint probability of the three events, P (ABC) = P (A) × P (B/A) × P (C/AB)
4. Two events are mutually exclusive, exhaustive and equally likely, the probability of either event A or B or both occurring P(A or B) = P(A) + P(B)
A
Both 1 and 3
B
Both 3 and 4
C
1, 2 and 4
D
All of the above
Consider the statements given below and select the correct statement(s)
1. Computer-mediated communication (CMC) is defined as any human communication that occurs through the use of two or more electronic devices.
2. Computer-mediated Communication can be broken down into two forms i.e. synchronous and asynchronous.
3. Synchronous computer mediated communication refers to communication which occurs in real time.
4. Asynchronous computer mediated communication refers to communication which takes place when the parties engaged are not communicating in unison.
A
1 and 4
B
2, 3 and 4
C
1, 2, 3 and 4
D
1 and 3
Which of the following set of statements are correct for describing the human communication process?
1. Non-verbal communication can stimulate ideas.
2. Communication is a learnt ability.
3. Communication is not a universal panacea.
4. Communication cannot break down.
5. More communication means more effective learning by students.
6. Value of what is learnt through classroom communication is not an issue for students.
Select the correct answer
A
1, 2, 3 and 4
B
1, 4, 5 and 6
C
1, 3, 5 and 6
D
2, 4, 5 and 6
In the following figure the minimum value of the constant "C", which is to be added to y
1
(t) such that y
1
(t) and y
2
(t) are different, is
A
$$\Delta $$
B
$$\frac{\Delta }{2}$$
C
$$\frac{{{\Delta ^2}}}{{12}}$$
D
$$\frac{\Delta }{L}$$
Let x(t) = 2cos(800πt) + cos(1400πt).x(t) is sampled with the rectangular pulse train shown in the figure. The only spectral components (in kHz) present in the sampled signal in the frequency range 2.5 kHz to 3.5 kHz are
A
2.7, 3.4
B
3.3, 3.6
C
2.6, 2.7, 3.3, 3.4, 3.6
D
2.7, 3.3
