How Do Polynomial Amplifiers Create Second-Order Intermodulation Products?

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In summary, the task is to derive an expression for the second-order intermodulation products present at the output of an amplifier, given a polynomial representation of its input-output voltage transfer characteristic and a pair of input signals with angular frequencies w1 and w2. The homework equations suggest that the second-order modulation products include f2-f1, f1+f2, 2f1, and 2f2. The student is currently unsure of how to begin the derivation process.
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jendrix
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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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  • #2
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"?
 

FAQ: How Do Polynomial Amplifiers Create Second-Order Intermodulation Products?

1. What are intermodulation products?

Intermodulation products are unwanted signals that are created when two or more signals are combined in a non-linear device, such as an amplifier or mixer. These products are the result of the non-linear behavior of the device and can cause interference and distortion in a communication system.

2. How are intermodulation products generated?

Intermodulation products are generated when two or more signals at different frequencies are combined in a non-linear device. The non-linear behavior of the device causes the signals to mix and create new frequencies, which are the intermodulation products.

3. What are the effects of intermodulation products on a communication system?

Intermodulation products can cause interference and distortion in a communication system. This can result in decreased signal quality, decreased system performance, and potential communication failures.

4. How can intermodulation products be reduced or eliminated?

Intermodulation products can be reduced or eliminated by using high-quality, low-distortion components in the communication system. Additionally, proper system design and careful frequency planning can help minimize the potential for intermodulation products.

5. Are intermodulation products always undesirable?

While intermodulation products are typically considered undesirable in a communication system, there are some cases where they can be used intentionally. For example, in frequency conversion applications, intermodulation products can be used to create new frequencies that are necessary for the desired operation of the system.

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