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Frequency Modulation (FM) Equations

 

 

 

 

         

 

Frequency Modulation (FM) is a method of modulation wherein information is transmitted as variations in the instantaneous frequency of the carrier signal.  In analog FM, the carrier frequency is changed in direct proportion to variations in the input signal's amplitude.

   

The modulation percentage for FM is defined simply as the ratio of actual frequency variation to the maximum frequency deviation expressed in %. Thus, 100% modulation means that the carrier's frequency variation covers the entire allowable amount, i.e., its maximum frequency deviation.  This maximum deviation frequency is chosen arbitrarily according to the application of the FM transmitter.

   

For example, if the modulating signal's frequency band is from 80 kHz below the carrier frequency to 80 kHz above it, then 50% modulation means that the carrier's frequency is being deviated by only 40 kHz above and below the resting frequency of the carrier signal.

  

The following equations apply to FM.

  

Percent Modulation

  

M = [∆f / D] x 100%

where

M = % Modulation

∆f = change in frequency

D = maximum frequency deviation, i.e., frequency deviation for 100% modulation

 

Modulation Index

  

Mi = fd / fa

where

Mi = modulation index

fd = deviation frequency, kHz

fa = modulating audio frequency, kHz

 

See Also:   Amplitude Modulation EquationsMore Articles