3rd order PFD+charge pump PLL pull-in time

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neoflash

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I've roughly calculated the pull-in time for PFD+ChargePump PLL based upon Rolland Best's book.

If I did it right, Tp=Δωin /πωn².

Is it correct? It is only related to ωn?
 

Pull-in time is a non-linear effect. Good luck trying to find a closed form solution.
 

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