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AMPLITUDE MODULATION FORMULAS
Single Sideband Filter Q Modulation index
m
V m Vc
m m12
S
Vmax
V min
Vmax
V min
m22
Qfilter
m3 2
...
f c
10 20
4 f SB
Single Sideband Formulas Coming soon ….
AM Voltage equation v c t VC sin c t v m t Vm sin mt v am t Vc Vm sin m t sin ct v am t Vc sin c t
mVc 2
sin c
m t
mVc 2
sin c
m t
AM power equation P C
Vrms 2
R
V peak 2
2R
V c 2
2R 2
mV c 2 2 2 2 2 2 2 V V peak m Vc m Vc m P P1SB rms c 2R 2R 8R 4 2R 4 R m2 Ptotal P C 1 2 2
Relating voltage and current to power equation
Vtotal VC
1
m2
Itotal IC
2
1
m2 2
Bandwidth is based on the type of modulation: DSBFC 2f m SSB f m Receivers parameters B P B SF 60dB BI RF IL out B3dB BIF P out
Mixer equations flocal fRF f IF fimage fRF 2fIF f local f IF IF AM commercial is 455 kHz typical Image frequency rejection ratio IFRR
