How Do Polynomial Amplifiers Create Second-Order Intermodulation Products?

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Polynomial amplifiers generate second-order intermodulation products from two input signals with angular frequencies w1 and w2. The key modulation products include frequencies f2-f1, f1+f2, 2f1, and 2f2. To derive the output expression, one should begin by modeling the amplifier's input-output voltage transfer characteristic as a polynomial. The discussion highlights the challenge in starting this derivation, indicating a need for clarity in applying the polynomial representation. Understanding these concepts is crucial for analyzing intermodulation distortion in amplifiers.
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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
 
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jendrix said:

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"?
 

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