Re: PLL
That is a good question.
A PLL locks phase, not frequency. If you change the frequency, the phase slews, so by definition it can not be phase locked.
But, you can fool the PLL into thinking it is locked. One technique quite commonly used in FSK communications is to use a very narrow band PLL that is DC coupled to the tune port of a VCO. You then AC couple the digital voltage onto the tune port of the VCO. The Digital voltage sweeps the VCO frequency + or - about the average, while the PLL tries to keep the average frequency in lock.
Caveats: you must use a large divide by N in the PLL, so that the instantaneous phase shift due to frequency tuning is much less than Π at any time.
Also, if you send lopsided data (like all zeroes for some time), the apparent carrier frequency will drift. This is why many simple systems use Manchester coding for the data.