Communication Engineering - Online Test

Q1. A transmission line of characteristic impedance 50Ω is terminated by a 50 W load. When excited by a sinusoidal voltage source at 10 GHz, the phase difference between two points spaced 2 mm apart on the line is found to be π/4 radians. The phase velocity of the wave along the line is
Answer : Option C
Explaination / Solution:

We have d = 2 mm and f = 10 GHz


Q2. The modes in a rectangular waveguide are denoted by   where m n and are the eigen numbers along the larger and smaller dimensions of the waveguide respectively. Which one of the following statements is TRUE?
Answer : Option A
Explaination / Solution:

TM11 is the lowest order mode of all the TMmn modes

Q3. The impulse response h(t) of linear time - invariant continuous time system is given by h(t) = exp(- 2t)u(t), where u(t) denotes the unit step function. The output of this system, to the sinusoidal input x(t) = 2 cos 2t for all time t , is
Answer : Option D
Explaination / Solution:



Q4. The Column-I lists the attributes and the Column-II lists the modulation systems. Match the attribute to the modulation system that best meets it Column-I P. Power efficient transmission of signals Q. Most bandwidth efficient transmission of voice signals R. Simplest receiver structure S. Bandwidth efficient transmission of signals with Significant dc component Column-II 1. Conventional AM 2. FM 3. VSB 4. SSB-SC
Answer : Option B
Explaination / Solution:

In FM the amplitude is constant and power is efficient transmitted. No variation in power. There is most bandwidth efficient transmission in SSB- SC. because we transmit only one side band. Simple Diode in Non linear region ( Square law ) is used in conventional AM that is simplest receiver structure. In VSB dc. component exists.

Q5.
Two discrete time system with impulse response h1[n] = 𝛿[n - 1] and h2[n] = 𝛿[n - 2] are connected in cascade. The overall impulse response of the cascaded system is
Answer : Option C
Explaination / Solution:



Q6. The return loss of a device is found to be 20 dB. The voltage standing wave ratio (VSWR) and magnitude of reflection coefficient are respectively
Answer : Option A
Explaination / Solution:



Q7.
Consider the pulse shape s(t) as shown. The impulse response h(t) of the filter matched to this pulse is

Answer : Option C
Explaination / Solution:

Impulse response of the matched filter is given by



Q8. A transmission line of characteristic impedance 50 W is terminated in a load impedance ZL. The VSWR of the line is measured as 5 and the first of the voltage maxima in the line is observed at a distance of λ/4 from the load. The value of ZL is
Answer : Option A
Explaination / Solution:

Since voltage maxima is observed at a distance of λ/4 from the load and we know that the separation between one maxima and minima equals to λ/4 so voltage minima will be observed at the load, Therefore load can not be complex it must be pure resistive.

 also RL = R0/s (since voltage maxima is formed at the load)
 R= (50/5)Ω


Q9. A continuous time LTI system is described by

Assuming zero initial conditions, the response y(t) of the above system for the input  is given by
Answer : Option B
Explaination / Solution:

System is described as

Taking laplace transform on both side of given equation

Transfer function of the system


By Partial fraction

Taking inverse laplace transform



Q10. x(t) is a stationary random process with auto-correlation function.   This process is passed through the system shown below. The power spectral density of the output process y(t) is

Answer : Option A
Explaination / Solution:


The given circuit can be simplified as

Power spectral density of output is