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Amplitude Modulation (AM) Equations

 

 

 

 

         

Amplitude Modulation (AM) is a method of modulation wherein the carrier amplitude changes with the amplitude of the input signal.  Simply put, amplitude modulation generates a signal with power concentrated at its carrier frequency and its two sidebands.  These side bands are bands of frequencies above and below the carrier frequency. They have equal bandwidths, and are mirror images of each other.

  

 

AM is not an efficient way to modulate - much of its power is wasted.  At least 2/3 of the power is used by the carrier signal, while the remaining power is split between the two equal sidebands.

  

Percent Modulation

  

M = [(Ec - Et) / (2Ea)] x 100%

or

M = [(Ec - Et) / (Ec+Et)] x 100%

where

M = % Modulation

Ec = crest amplitude of the modulated carrier

Et = trough amplitude of the modulated carrier

Ea = average amplitude of the modulated carrier
 

Sideband Power

  

Ps = M2Pc / 2

where

Ps = sideband power of an AM carrier, W

M = %Modulation

Pc = carrier power, W

 

Total Radiated Power

  

Pt = Ps + Pc

where

Pt = total radiated power, W

Ps = sideband power, W

Pc = carrier power, W

       

 

   

See Also:   Frequency Modulation EquationsMore Articles