Title :
Phase-jitter dynamics of digital phase-locked loops
Author :
Teplinsky, Alexey ; Feely, Orla ; Rogers, Alan
Author_Institution :
Inst. of Math., Kiev, Ukraine
fDate :
5/1/1999 12:00:00 AM
Abstract :
Recent work on the subject of digital phase-locked loops (DPLL´s) has examined the unwanted phase jitter that occurs in such systems due to frequency quantization in a number-controlled oscillator. In this paper, we show that the theory of nonlinear dynamics can provide an analytical explanation of this phase jitter, along with other features of the system behavior. In particular, we will describe the phase-jitter dynamics mathematically in terms of the well-known circle rotation map and area-preserving twist map
Keywords :
digital phase locked loops; jitter; nonlinear dynamical systems; area preserving twist map; circle rotation map; digital phase locked loop; frequency quantization; nonlinear dynamics; number controlled oscillator; phase jitter; Analytical models; Communication systems; Disk drives; Frequency; Jitter; Nonlinear dynamical systems; Oscillators; Phase locked loops; Quantization; Wireless communication;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
