Input Tone in to an Amplifier

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Consider a single input tone, such that: Vo = ko + k1*Vin + k2* Vin^2 + k3*Vin^3 +.... Let Vin = cos(wt). Now if a tone is put into an amplifier, and its amplitude is increased by 1.5dB, how much will the amplitude of the third order products increase in dB? Using the third order term only of the transfer polynomial, prove this third order relationship. Using the Nth order term only of the transfer polynomial, find the Nth order relationship for the Nth order products.

© BrainMass Inc. brainmass.com December 24, 2021, 5:04 pm ad1c9bdddf
https://brainmass.com/engineering/electrical-engineering/input-tone-amplifier-25517

Solution Preview

Vin = Cos (wt)

Nth order:
Vo = Kn*(Vin)^n = Kn*{Cos^n(wt)}
Nth order term is the coefficient of the Cos(nwt) term.
Now we know that when you factor the Cos^n(wt) into lower powers, at the end we will get the coefficient of the Cos(nwt) ...

Solution Summary

Considering Vin = Cos (wt), we can find the relationship for the n-th order products using Vo = Kn*(Vin)^n = Kn*{Cos^n(wt)}.

$2.49