Converting Angular Frequency to Frequency for Graphing |H(f)|^2 from 0 to 5kHz

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Discussion Overview

The discussion centers around converting the equation |H(w)|^2, which is expressed in terms of angular frequency, to |H(f)|^2, where f represents frequency. The context involves graphing this function from 0 to 5 kHz, and participants are exploring the necessary transformations and relationships between angular frequency and frequency in the context of a lab assignment.

Discussion Character

  • Technical explanation
  • Homework-related
  • Experimental/applied

Main Points Raised

  • One participant seeks to convert |H(w)|^2 to |H(f)|^2, indicating that f0, fs, G, and R are known parameters.
  • Another participant requests clarification on the problem, questioning the meaning of "not coming out right" and the role of R in the equation.
  • A participant notes that R is a coefficient and that H(f) is a transfer function needing to be graphed, emphasizing the challenge of transitioning from H(w) to H(f).
  • One participant suggests that the equations are correct and asks for additional details, including the transfer function and expected results, hinting at a possible z-transform application.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus, as participants express varying levels of understanding and seek further clarification on the problem and its components.

Contextual Notes

There are limitations in the clarity of the problem description, particularly regarding the definitions of variables and the specific nature of the transfer function. The relationship between frequency and sampling frequency is also not fully resolved.

Who May Find This Useful

This discussion may be useful for individuals working on similar problems involving the conversion of frequency representations in transfer functions, particularly in the context of signal processing or lab experiments.

ACLerok
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I need to convert the following equation |H(w)|^2 to |H(f)|^2 where w is the angular frequency and f is the frequency.

Also: f0 = (2pi*f0)/fs ; f=(2pi*f)/fs ; f0, fs, G and R are known

http://img410.imageshack.us/img410/556/snapshot20070324161921cy8.gif

I tried putting w and w0 in terms of f and then replacing them into the above equation, but it's not coming out right. I need to graph this function from 0 to 5kHz.

Any ideas?
 
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What do you mean it's not coming out right? Can you post the complete description to the problem? Is R a resistance? Why are you using f as a function of a sampling frequency?
 
antoker said:
What do you mean it's not coming out right? Can you post the complete description to the problem? Is R a resistance? Why are you using f as a function of a sampling frequency?

This isn't a specific homework problem. It's part of a lab i have to do. R is a type of coeffcient. It's a constant. H(f) is a transfer function which I need to take the magnitude squared and graph it against f. I'm given H(w) but I need to graph H(f), that's what I am having trouble with; going from H(w) -> H(f)
 
Hmmm, equations are correct. Post the image of the transfer function that you've written above and the result you're expecting. Since you have a frequency discretization, I'm assuming you've worked your way to this function via z-transform, post it as well. Or Just post the whole labwork-page.
 
disregard message
 
Last edited:

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