Statistical Analysis of First-Order Bang-Bang Phase-Locked Loops Using Sign-Dependent Random-Walk Theory

• Published in: IEEE transactions on circuits and systems. I, Regular papers Vol. 57; no. 9; pp. 2367 - 2380
• Main Authors: Tertinek, Stefan, Gleeson, James P, Feely, Orla
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.09.2010; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Asymptotic properties; Bang-bang phase-locked loop (BBPLL); Clocks; cumulants; Delta modulation; delta modulator (DM); Detectors; Exact solutions; Jitter; kurtosis; Mathematical analysis; Nonlinearity; Offsets; Phase detection; Phase locked loops; Phase modulation; Phase noise; sign-dependent random walk (SDRW); Statistical analysis; Steady-state; Studies; Theory; Timing jitter

Bang-bang phase-locked loops (BBPLLs) are inherently nonlinear due to the hard nonlinearity introduced by the binary phase detector (BPD). This paper provides an exact statistical analysis of the steady-state timing jitter in a first-order BBPLL when the reference clock is subject to accumulative ji...