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Amplitude Modulation

 
S(t) = (A + m(t)) cos ωc t
 

 

449.png 
 

where 454.png is called modulation index.


Power content in AM wave :

s(t) = A cos ωct + m(t) cos ωct
 

Pt = Pc + Ps
 

where, Pt = transmitted power
 

Pc = carrier power
 

Ps = sideband power
 

Pt = 459.png
 

Transmission Efficiency :

 η = 464.png
 

 η = 469.png
 

Power of a Single-tone AM signal

Pt = 474.png
 

where k is the modulation index.
 

479.png 
 

where, It = r.m.s. value of modulated current

Ic = r.m.s. value of unmodulated current.
 

Power Relation in SSB wave:
 

484.png 

PSSB = 489.png
 

where, k is modulation index.

Pc is carrier power.

 





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