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Maybe that, if your frequency drift is fast enough and with a zero average value, the bandwidth of the PLL can filter it out.
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Sounds very unlikely. Either the PLL is able to track the frequency change or it will loose lock, considering the large frequency range. But you may want to clarify the imagined dynamics of input frequency change.
Basically, to keep the output frequency constant for longer than a few usec, the PLL needs a reference frequency. Where should it come from, if the only input signal is unreliable?
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