1. the lock range
2. the lock time
3. the pull in range
4. the pull in range
5. the pull out range
6. the hold range
7. the loop bandwidth
8. the close loop bandwidth
9. the phase noise
10. the jitter
11. the nature frequency
12. the damping factor
13. the vco noise transfer curve of the whole pll system
14. the input noise transfer curve o the whole pll system
etc.
What I mean is to simulate the whole pll system to get the parameters, and is NOT to simulate the building blocks and calculate these parameters.
Maybe some parameters can be simulated, while the others cannot be. Give your opinions and methods.
With sufficient time, they can all be simulated. I'd start with Simulink, as that handles most of the exact time domain behavior. You can use Matlab to set up the simulation and post process the data. It's a fair amount of time and effort to develop such a sophisticated model, and validate it against a circuit level simulation.