Filter Design for Phase-Locked Loop:An LMI Approach
Date Issued
2006
Date
2006
Author(s)
Chen, Yu-Cheng
DOI
zh-TW
Abstract
A new loop filter design method for phase locked loops (PLLs) is presented subject to loop with/without pure delay, which employs multi-objective control technique to deal with the various design objectives: small noise bandwidth, good transient response (small settling time, small overshoot), and large gain and phase margins.
Trade-off among the conflicting objectives is made via recently developed convex optimization skill (i.e., linear matrix inequality, LMI) in conjunction with appropriate adjustment of certain design parameters. One salient feature of the proposed method is that it allows one to specify some filter poles and zeros in advance, including the special case of PI form filter of which all the filter poles are at the origin. Moreover, the proposed method is applicable to PLL of any order.
Numerical simulation on nonlinear PLL model is performed. For the case without considering delay, comparisons of our results with that by generic PI form loop filter design are made. As for the case taking time delay into account, comparisons between two proposed methods are made. Finally, more realistic model is employed to simulate the resulting PLLs for demonstration of the effectiveness of the proposed method in practice.
Subjects
鎖相迴路
線性矩陣不等式
PLL
phase-locked loop
LMI
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-95-R93921061-1.pdf
Size
23.31 KB
Format
Adobe PDF
Checksum
(MD5):851f0fc3a2b24a9ae9b7d9cce477937f