Hi,
So im realy stuck trying to understand PLL's in terms of the calculations ive been looking at. This is a good example of the type of thing - taken from phase locked loops by Roland Best
OK so the U(t) signal seems to tell me that its a standard sine with a changing "phase"
The example and figure show a linear frequency increase from t=0
I have no idea what delta*w^dot means in the notation. I have never seen this before. it seems to be saying the change of gradient? anyway...
Then I keep hearing that "the derivative of phase is frequency" but in this context what does "phase" mean?
if we take the derivative of the "Argument" I would generally get w , IF the other term were constant right... but I dont understand how taking a derivative of that extra term added to wt would give the frequency!, in any context
Im very confused so if anyone has the time to talk me through some maths and concepts here id be very grateful. I understand the idea of PLL's to some extent but I have big problems deciphering notation and would realy benefit from a simple breakdown of what is happening here.
Thanks to anyone who has the time

So im realy stuck trying to understand PLL's in terms of the calculations ive been looking at. This is a good example of the type of thing - taken from phase locked loops by Roland Best
OK so the U(t) signal seems to tell me that its a standard sine with a changing "phase"
The example and figure show a linear frequency increase from t=0
I have no idea what delta*w^dot means in the notation. I have never seen this before. it seems to be saying the change of gradient? anyway...
Then I keep hearing that "the derivative of phase is frequency" but in this context what does "phase" mean?
if we take the derivative of the "Argument" I would generally get w , IF the other term were constant right... but I dont understand how taking a derivative of that extra term added to wt would give the frequency!, in any context
Im very confused so if anyone has the time to talk me through some maths and concepts here id be very grateful. I understand the idea of PLL's to some extent but I have big problems deciphering notation and would realy benefit from a simple breakdown of what is happening here.
Thanks to anyone who has the time


