English

Explain the Process of Amplitude Modulation.

Advertisements
Advertisements

Question

Explain the process of amplitude modulation.

Advertisements

Solution

Amplitude Modulation: Amplitude modulation is produced by varying the amplitude of the carrier waves in accordance with the amplitude of the modulating wave.

Let the carrier wave be c(t) = Acsinωct and the modulating signal be m(t) = Amsinωmt where ωm = 2πfm is the angular frequency of the message signal.

Modulated signal cm(t) is 

cm(t)=(Ac+Am sinωmt)sinωct

where μ = Am/Ac is the modulation index.

`c_m(t)=A_csinomega_ct+(muA_c)/2cos(omega_c-omega_m)t-(muA_c)/2cos(omega_c+omega_m)t`

ωc - ωm and ωc+ωm are the lower side and upper side frequencies, respectively.

Production of Amplitude Modulated Wave

 

shaalaa.com
  Is there an error in this question or solution?
2013-2014 (March) All India Set 2

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

A signal of 5 kHz frequency is amplitude modulated on a carrier wave of frequency 2 MHz. What are the frequencies of the side bands produced?


A modulating signal is a square wave, as shown

The carrier wave is given by  `c(t) = 2 sin (8pit) "volts"`

(i) Sketch the amplitude modulated waveform

(ii) What is the modulation index?


Draw a schematic sketch showing how amplitude modulated signal is obtained by superposing a modulating signal over a sinusoidal carrier wave.


Answer the following question.
If A and B represent the maximum and minimum amplitudes of an amplitude-modulated wave, write the expression for the modulation index in terms of A and B.


Define amplitude modulation in a communication system.


Identify the mathematical expression for amplitude modulated wave ______.


In amplitude modulation, the modulation index m, is kept less than or equal to 1 because ______.

  1. m > 1, will result in interference between carrier frequency and message frequency, resulting into distortion.
  2. m > 1 will result in overlapping of both side bands resulting into loss of information.
  3. m > 1 will result in change in phase between carrier signal and message signal.
  4. m > 1 indicates amplitude of message signal greater than amplitude of carrier signal resulting into distortion.

Compute the LC product of a tuned amplifier circuit required to generate a carrier wave of 1 MHz for amplitude modulation.


On radiating (sending out) an AM modulated signal, the total radiated power is due to energy carried by ωc, ωc – ωm and ωc + ωm. Suggest ways to minimise cost of radiation without compromising on information.


An amplitude-modulated wave is represented by Cm(t) = 10(1 + 0.2 cos 12560t) × sin (111 × 104t) volts. The modulating frequency in kHz will be ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×