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Choosing the natural frequency wn for a PLL?

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amsdesign

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The natural frequency of a system is the frequency at which it would oscillate (say, for a step input) if there is no damping.
So does this mean, the ideal natural frequency should be as low as possible? So that it does not oscillate and just settles quickly

I have a PLL with an output frequency of 2.4Ghz. Intuitively how do I decide what the proper range of natural frequency should be?
Just like bandwidth is intuitively set at 1/10 the input frequency and the damping factor is set at 0.707
 

Choose less damping if you wish to detect a very brief input pulse.

Choose less bandwidth if you wish to reject off-frequency noise.

Choose greater bandwidth if it is possible that a desired input signal could be off-frequency.
 

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