How Do Polynomial Amplifiers Create Second-Order Intermodulation Products?

[jendrix]

Homework Statement

By representing the input-output voltage transfer characteristic of an amplifier by a polynomial, derive an expression showing the second-order intermodulation products present at the output for a pair of input signals with angular frequencies w1 and w2.

Homework Equations

2nd order modulation products are f2-f1 , f1+f2 , 2f1 , 2f2

The Attempt at a Solution

Completely stuck on where to start

 

[rude man]

Homework Statement

By representing the input-output voltage transfer characteristic of an amplifier by a polynomial, derive an expression showing the second-order intermodulation products present at the output for a pair of input signals with angular frequencies w1 and w2.

Homework Equations

2nd order modulation products are f2-f1 , f1+f2 , 2f1 , 2f2

The Attempt at a Solution

Completely stuck on where to start

Why not start " ... by representing the input-output voltage transfer characteristic of an amplifier by a polynomial"?