Analysis of Injection Locking in Ring-Based Divide-By-Two Frequency Dividers

被引:0
作者
Fekih-Ahmed, Lazhar [1 ]
机构
[1] Univ Tunis El Manar, Signals Syst & Stat Lab, Dept Telecommun & Informat Technol, Natl Engn Sch Tunis, BP 37, Tunis 1002, Tunisia
关键词
Injection locking; frequency divider; ring oscillator; stochastic differential equation; phase noise; 0.13-MU-M CMOS; OSCILLATOR; DESIGN; MODEL; NOISE;
D O I
10.1142/S021812662250195X
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we introduce a unified nonlinear injection locking model of a large class of 1:2 frequency dividers. The model is valid for two-stage dividers, injected with two-phase or single-phase current or voltage sources. We show that this class of dividers can be rigorously analyzed using the theory of planar nonlinear dynamical systems. We provide accurate compact expressions for the locking range, amplitude, frequency and phase noise. The formulas are validated for two types of frequency dividers using simulations.
引用
收藏
页数:25
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