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Confusions regarding VCO phase noise - need help

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AdvaRes

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20 log(n) phase noise

Hi all,
I have confusions regarding VCO phase noise. I was reading the following document when the confusions arises.

https://www.analog.com/library/analogDialogue/archives/33-05/phase_locked/PLLs_2.pdf


The autors says that
If we want to estimate the contribution of the
PLL device (noise due to phase detector, R&N dividers and the
phase detector gain constant), the result must be divided by N²
(or 20 ´ logN be subtracted from the above result). This gives a
phase-noise floor of [–85.86 – 20 ´ log(9400)] = –165.3 dBc/Hz.


How is that ? How does 20log(N) represent the noise due to the other components of the PLL ?
Second, I expected addition instead substraction. Coz at the best case the PLL phase noise is equal to the VCO phase noise if we dont consider the other phase noise ?

Could someone explain ?
 

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