Communication Engineering - Online Test

Q1. In the design of a single mode step index optical fibre close to upper cut-off, the single-mode operation is not preserved if
Answer : Option C
Explaination / Solution:
No Explaination.


Q2. Consider a continuous-time system with input x(t) and output y(t) given by y(t) = x(t) cos(t) This system is
Answer : Option C
Explaination / Solution:



Q3. At 20 GHz, the gain of a parabolic dish antenna of 1 meter and 70% efficiency is
Answer : Option D
Explaination / Solution:



Q4. Suppose x1(t) and x2(t) have the Fourier transforms as shown below

Which one of the following statements is TRUE?
Answer : Option C
Explaination / Solution:



Q5.
Noise with double-sided power spectral density on K over all frequencies is passed through a RC low pass filter with 3 dB cut-off frequency of fc. The noise power at the filter output is
Answer : Option C
Explaination / Solution:



Q6. The output of a continuous-time, linear time-invariant system is denoted by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T , when T{z(t)} = γz(t), where γ is a complex number, in general, and is called an eigenvalue of T. Suppose the impulse response of the system T is real and even. Which of the following statements is TRUE?
Answer : Option D
Explaination / Solution:



Q7. Consider a Binary Symmetric Channel (BSC) with probability of error being p. To transmit a bit, say 1, we transmit a sequence of three 1s. 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
Answer : Option D
Explaination / Solution:
No Explaination.


Q8. Consider a causal LTI system characterized by differential equation  The response of the system to the input  where u(t) denotes the unit step function, is
Answer : Option D
Explaination / Solution:




Q9. Four messages band limited to W,W,2W and 3W respectively are to be multiplexed using Time Division Multiplexing (TDM). The minimum bandwidth required for transmission of this TDM signal is
Answer : Option D
Explaination / Solution:

Bandwidth of TDM is = 1/2 (sum of Nyquist Rate) = 1/2 [2W + 2W + 4W + 6W] = 7W

Q10. Consider the function ݂f(z) = z + z* where z is a complex variable and z* denotes its complex conjugate. Which one of the following is TRUE?
Answer : Option B
Explaination / Solution: