Tertinek, StefanStefanTertinekFeely, OrlaOrlaFeely2012-04-242012-04-242009 IEEE2009-05-24978-1-4244-3827-3http://hdl.handle.net/10197/3585Paper presented at the IEEE International Symposium on Circuits and Systems (ISCAS), Taipei, Taiwan, 24-27 May 2009Recently, several digital phase-locked loops (DPLLs) have been demonstrated to achieve the jitter performance of traditional charge-pump-based analog PLLs. This paper is concerned with a class of DPLLs employing a binary-quantized phase detector, referred to as bangbang PLLs (BBPLLs). They are widely used in clock and data recovery circuits and have recently been implemented as digital BBPLLs for high-bandwidth synthesis. Given that a DPLL implementation typically suffers from (excess) loop delay, this paper investigates the combined effect of loop delay and reference clock jitter in a first-order digital BBPLL. To statistically characterize the loop’s timing jitter we formulate it as a discrete-time vector Markov process and numerically solve the associated Chapman-Kolmogorov equation. This allows us to compute the timing jitter probability density function in steady-state and to evaluate the jitter performance (timing offset and RMS timing jitter) for varying loop detuning, RMS reference clock jitter and loop delay.170652 bytesapplication/pdfenPersonal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Phase-locked loopsBang-bangJitterMarkov processPhase-locked loopsMarkov processesConference Publication10.1109/ISCAS.2009.5118282https://creativecommons.org/licenses/by-nc-sa/1.0/