Communications - Online Test

Q1. The amplitude of a random signal is uniformly distributed between -5 V and 5 V.If the signal to quantization noise ratio required in uniformly quantizing the signal is 43.5 dB, the step of the quantization is approximately
Answer : Option C
Explaination / Solution:




Q2. The maximum value of ᶿ until which the approximation sin ᶿ=ᶿ holds to within 10% error is 
Answer : Option B
Explaination / Solution:

Here, as we know
  
but for 10% error, we can check option (B) first

so, the error is more than 10%. Hence, for error less than 10%, ᶿ = 18º can have the approximation


Q3.
The bit rate of a digital communication system is R kbits/s. The modulation used is 32-QAM. The minimum bandwidth required for ISI free transmission is
Answer : Option B
Explaination / Solution:

In ideal Nyquist Channel, bandwidth required for ISI (Inter Symbol reference) free transmission is
 
Here, the used modulation is 32 - QAM (Quantum Amplitude modulation
 


Q4.
A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid
Answer : Option A
Explaination / Solution:

Given, the maximum frequency of the band-limited signal
fm = 5 kHz
According to the Nyquist sampling theorem, the sampling frequency must be greater than the Nyquist frequency which is given as 

So, the sampling frequency fs must satisfy

only the option (A) does’nt satisfy the condition therefore, 5K HZ is not a valid sampling frequency.


Q5. 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


Q6. 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

Q7. 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.

Q8. 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:



Q9. 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


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