How do I normalize angular frequency for circuit optimization?

AI Thread Summary
To normalize angular frequency for circuit optimization, divide the actual frequency by a characteristic value, typically the natural frequency of the system. If the natural frequency is unknown, use the geometric mean of reference frequencies, such as the -3dB points, as a basis for normalization. The normalization process can be applied using either radians or hertz, as it will yield the same normalized values. This approach aids in optimizing circuit performance effectively. Understanding these normalization techniques is crucial for successful circuit design.
anothnagle
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Hey all,

This question may sound daft, but how do I normalize angular frequency? For a little background: I'm trying to optimize some circuits, and I've managed to write some successful code using the "Design of Ultra Wideband Antenna Matching Networks" book, but the code requires normalized angular frequency, whereas what I have are data for the normal frequency response of our circuits. I imagine I should be normalizing to radians/second, but I could be wrong. What would I do for this?

Thanks
 
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"To normalize" usually means to divide the actual value by some characteristic value. Is there a natural frequency associated with this system? If so, normalized frequency might mean omega/omega_nat.
 
What can I do if I don't know the natural frequency? Can I normalize it at all?
 
For a broadband network that has no obvious centre frequency I would find the frequencies of some reference level such as the -3dB points and use the geometric mean of those as the reference. It does not matter if you use radians or hertz, normalisation will reduce them to the same values.
Fref = Sqrt(Fmin * Fmax)
 

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