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Communication System
Analog Communication

Practice questions from Analog Communication.

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Q#1 Analog Communication GATE EC 2025 (Set 1) MCQ +1 mark -0.33 marks

Consider a frequency-modulated (FM) signal

 

where  and  are, respectively, the amplitude and frequency (in Hz) of the carrier waveform. The frequency  is in Hz, and assume that .

The peak frequency deviation of the FM signal in Hz is __________.

Explanation:

By comparison with standard angle modulated signal expression:

   

Clearly, change in frequency  is given by derivative of argument of cosine with respect to time.

Here,  

 

 change in angular frequency (in rad/s)

 

Note in question that unit asked is Hz, thus we have to divide  by  to get

 

Max value of summation of sinusoids of different frequency is summation of amplitudes, thus peak frequency deviation

Q#2 Analog Communication GATE EC 2025 (Set 1) MSQ +1 mark -0 marks

Consider a message signal  which is bandlimited to , where  is in Hz. Consider the following two modulation schemes for the message signal:

  • Double sideband-suppressed carrier (DSB-SC):

 

  • Amplitude modulation (AM):

 

Here,  and  are the amplitude and frequency (in Hz) of the carrier, respectively. In the case of AM,  denotes the modulation index.

Consider the following statements:

(i) An envelope detector can be used for demodulation in the DSB-SC scheme if  for all .

(ii) An envelope detector can be used for demodulation in the AM scheme only if  for all .

Which of the following options is/are correct?

is TRUE

is FALSE

is TRUE

is FALSE

Explanation:

As long as , envelop detector can be used to detect  and  signals

 mentions the word "can", this true as  can at times ensure

 (D) mention the word "only", it is not a must condition for , only the bound is on , thus:  is wrong.

Q#3 Analog Communication GATE EC 2024 (Set 1) NAT +1 mark -0 marks

An amplitude modulator has output (in Volts)

 

The carrier power normalized to  resistance is 50 Watts. The ratio of the total sideband power to the total power is . The value of  (in Volts, rounded off to two decimal places) is_______.

Explanation:

Given:

 

 

 

 

 

 

Q#4 Analog Communication GATE EC 2023 (Set 1) MCQ +2 marks -0.66 marks

Let a frequency modulated (FM) signal , where  is a message signal of bandwidth . It is passed through a non-linear system with output  . Let  denote the FM bandwidth. The minimum value of  required to recover  from  is

Explanation:

 

Bandwidth

 

 Bandwidth of  

 

 

To recover

 

 

 

 

 

Compared to FM BW, message BW is very small. So, that it can be ignored.