Signal Processing Help: 3rd + 1st Order Nonlinear Device Multiplier

In summary, the conversation is about a problem involving using a third + first order nonlinear device to create a multiplier. The person is struggling with finding the correct solution and is unsure about which terms to filter out. They also mention the frequencies fo and fc, and receive confirmation from the TA that fo can be equal to 2fc in this case.
  • #1
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Homework Statement


http://i.imgur.com/01AUp.png





Homework Equations





The Attempt at a Solution



Having some problems with this question, using a third + first order nonlinear device to make a multiplier. I'm fine with using a second order, but this one is stumping me. So, I take x(t) = m(t) + cos(wt) and plug it into x(t) + (x(t))^3 , and I get (expanding cos(wt)2 and cos(wt)3 terms:

5/2* m + cos(wt) + m^3 + 3* m^2* cos(wt) +3/2m cos(2wt) + 3/4* cos(wt) + 1/4* cos(3wt).

Problem: None of the terms contain m(t)cos(wt)! Then what am I supposed to filter out?
 
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  • #2
I might be wrong here, but ... looking for clues, I notice they speak of fo and fc ...

I wonder can fc = 2·fo?
 
  • #3
Thanks, after emailing the TA he confirmed that indeed fo is arbitrary here, and so fo = 2fc is the way to start answering this.
 

1. What is signal processing?

Signal processing is the manipulation and analysis of signals, which are electrical, acoustic, or optical representations of information. It involves extracting useful information from signals, such as filtering noise, amplifying weak signals, and compressing data.

2. What is a nonlinear device multiplier?

A nonlinear device multiplier is an electronic component that takes an input signal and produces an output signal that is a nonlinear function of the input. This means that the output is not directly proportional to the input, and the relationship between the two can be complex.

3. What is the difference between a 3rd and 1st order nonlinear device multiplier?

The order of a nonlinear device multiplier refers to the highest power of the input signal that it can handle. A 1st order multiplier can only handle linear signals, while a 3rd order multiplier can handle signals with higher degrees of nonlinearity.

4. How is a nonlinear device multiplier used in signal processing?

A nonlinear device multiplier is commonly used in signal processing to alter the shape or amplitude of a signal. It can be used for tasks such as distortion correction, signal amplification, and frequency conversion.

5. What are the benefits of using a nonlinear device multiplier in signal processing?

Nonlinear device multipliers offer greater flexibility and precision in signal processing compared to linear devices. They can handle a wider range of input signals and produce more complex output signals, allowing for more advanced signal manipulation and analysis.

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