In the polar transmitter, after the I and Q signals are converted to amplitude and phase, where the phase is in the range of -pi to pi, the phase is further differenciated to obtain the change in frequency and then fed to an ADPLL.
If the original samples contain a phase change from -pi+0.01 to pi-0.01, then there would be a change in frequency proportional to 2pi-0.02. Is there some way to limit the magnitude of this change? As the two samples are actually relatively close on the IQ-plane.
Another question is, if I wish to upsample the phase signal, the extended version of the type of phase change mentioned above creates an originally non-existent trajectory (as the interpolator does not know modular arithmatic). How should I solve this?