Proofing the Modulation Index for AM Transmission

[commelion]

ive been trying to proof the modulation index for Am transmission, it goes like this

Vmax = a(1+u)
Vmin = a(1-u)

it basicilly describes the amount of infromation in the total power transmitted and should allways be between 0 & 1

eventually the answer should come out to be

u = (Vmax-Vmin)/(Vmax+Vmin)

its the maths in between that is anoying the hell out of me, if anybody has any info on doing this please help, I've tried matrices so don't bother !

thanks in advance.

 

[jsgruszynski]

http://en.wikipedia.org/wiki/Amplitude_modulation

 

[commelion]

worse than useless response

it does not address the question what so ever, but thanks anyway

 

[sophiecentaur]

You just need to solve the two simultaneous equations that you have at the beginning of your first post:
Add them and then subtract them, then take the ratio to get u- it falls out in three lines.

 

[commelion]

ok thanks ill try that