Coefficients of Type-3 Digital PLL

Status
Not open for further replies.

promach

Advanced Member level 4
Joined
Feb 22, 2016
Messages
1,199
Helped
2
Reputation
4
Reaction score
5
Trophy points
1,318
Activity points
11,636
I have few questions regarding coefficients of Type-3 Digital PLL

1) Why must k3 < k2 < k1 < 1 ?

2) Why is there no coefficient tolerance problem in a digital implementation ? And does complex zeroes actually give rise to ringing phenomenon in digital implementation ? Could anyone give an actual, empirical demo example with regards to a working digital PLL ?

3) Are there any simple ways to derive these three coefficients value for robust solution ? I heard we could do it with a matrix solution : state[n+1] = A*state[n] Have anyone used such matrix solution ? Could anyone elaborate more about this ?

4) Could anyone cross reference these attenuation coefficients to analog circuit domain for better overall understanding ?

Note: Screenshot taken from Floyd Gardner book "Phaselock Techniques 3rd edition" page 69

 

Status
Not open for further replies.
Cookies are required to use this site. You must accept them to continue using the site. Learn more…