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mobile-it
Joined: 24 Apr 2004
Posts: 456
Helped: 12
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 20 Sep 2008 13:56 non-lineair distortion |
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I need help from you guys concerning the following:
I can write the output as following
Uo = aUi + b (Ui)² + c(Ui)³ + ...
where Ui is the input signal and Uo is the output signal.
When I apply as Ui = E Sin (wt) I get the following amplitudes for the harmonics:
1 harmonic : aE
2 harmonic : 1/2 bE²
3 harmonic: 1/4 cE³
...
can someone explain how I can find this amplitudes????
Another thing is when I apply
Ui = E1 sin(w1t) + E2 sin(w2t) how can I find the intermodulationfrequenties and their amplitudes???
Thank you very much!
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lladnar23
Joined: 20 Mar 2006
Posts: 211
Helped: 31
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| 25 Sep 2008 23:29 non-lineair distortion |
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Use the following trig identities:
cos^2(x) = 1/2(1+cos(2x))
cos^3(x) = 1/4(3cos(x)+cos(3x))
cos(x)cos(y)=1/2(cos(x+y)+cos(x-y))
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mobile-it
Joined: 24 Apr 2004
Posts: 456
Helped: 12
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| 26 Sep 2008 7:27 Re: non-lineair distortion |
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Ok, but then I have another question: do you now how to find the solution for sin^5(x)=.... sin(5x)
So I need a formula for sin^n =....sin(nx)
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VSWR
Joined: 07 Feb 2002
Posts: 639
Helped: 53
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| 26 Sep 2008 21:13 Re: non-lineair distortion |
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| See http://mathworld.wolfram.com/TrigonometricPowerFormulas.html
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