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Explain the Process of Amplitude Modulation. - Physics

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प्रश्न

Explain the process of amplitude modulation.

उत्तर

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) = Amsinωmwhere ω= 2πfm is the angular frequency of the message signal.

Modulated signal cm(t) is 

cm(t)=(Ac+Am sinωmt)sinωct

where μ = Am/Ais 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 ωcm are the lower side and upper side frequencies, respectively.

Production of Amplitude Modulated Wave

 

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2013-2014 (March) All India Set 2

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संबंधित प्रश्न

Draw a block diagram of a detector for AM signal and show, using necessary processes and the waveforms, how the original message signal is detected from the input AM wave.


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


Write three important factors which justify the need of modulating a message signal. Show diagrammatically how an amplitude modulated wave is obtained when a modulating signal is superimposed on a 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.


Solve the following question.
A message signal of frequency 20 kHz and peak voltage 10 V is used to modulate a carrier of frequency 2 MHz and peak voltage of 15 V. Calculate the modulation index. Why the modulation index is generally kept less than one? 


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.

Why is a AM signal likely to be more noisy than a FM signal upon transmission through a channel?


An audio signal vm = 20sin2π(1500t) amplitude modulates a carrier vc = 80 sin 2π (100,000t). The value of percent modulation is ______.


The maximum amplitude for an amplitude modulated wave is found to be 12V while the minimum amplitude is found to be 3V. The modulation index is 0.6x where x is ______.


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