jlee
Member level 2
Hi all,
I am reading Shu's PLL book, but now I get stuck in one step... I don't understand how the authors derived the closed-loop bandwidth. Attached the page I am reading.
It is discussing the third order PLL (second-order passive loop filter), and I understand up the open-loop gain equation (3.18). However, I don't see how the authors conclude eq. (3.19) from eq.(3.18). Especially, I am bothered by how there are cos() and sin() functions appearing suddenly....
PLL experts... please help me understand the proofs.
Thank you very much.
I am reading Shu's PLL book, but now I get stuck in one step... I don't understand how the authors derived the closed-loop bandwidth. Attached the page I am reading.
It is discussing the third order PLL (second-order passive loop filter), and I understand up the open-loop gain equation (3.18). However, I don't see how the authors conclude eq. (3.19) from eq.(3.18). Especially, I am bothered by how there are cos() and sin() functions appearing suddenly....
PLL experts... please help me understand the proofs.
Thank you very much.