Thank for helping, Sengyee.
You meant that because the Loop filter could memorize the last data so in case of losing lock due to external cause, the loop filter could pull the PLL back to being locked, didnt you?
However, Once losing lock, the VCO's frequency is actually changed! This will result in the change in the output voltage of the Phase detector ...hence affects the Loop Filter. Actually, It forces the output voltage of the Loopfilter to change, too. The "historical data" is then overwritten!!
Could you explain me how the Loop Filter can act like a memory?
Thank you so much.