---
_id: '39484'
author:
- first_name: Christian
  full_name: Hangmann, Christian
  last_name: Hangmann
- first_name: Christian
  full_name: Hedayat, Christian
  last_name: Hedayat
- first_name: Ulrich
  full_name: Hilleringmann, Ulrich
  id: '20179'
  last_name: Hilleringmann
citation:
  ama: 'Hangmann C, Hedayat C, Hilleringmann U. Stability Analysis of a Charge Pump
    Phase-Locked Loop Using Autonomous Difference Equations. <i>IEEE Transactions
    on Circuits and Systems I: Regular Papers</i>. 2014;61(9):2569-2577. doi:<a href="https://doi.org/10.1109/tcsi.2014.2333331">10.1109/tcsi.2014.2333331</a>'
  apa: 'Hangmann, C., Hedayat, C., &#38; Hilleringmann, U. (2014). Stability Analysis
    of a Charge Pump Phase-Locked Loop Using Autonomous Difference Equations. <i>IEEE
    Transactions on Circuits and Systems I: Regular Papers</i>, <i>61</i>(9), 2569–2577.
    <a href="https://doi.org/10.1109/tcsi.2014.2333331">https://doi.org/10.1109/tcsi.2014.2333331</a>'
  bibtex: '@article{Hangmann_Hedayat_Hilleringmann_2014, title={Stability Analysis
    of a Charge Pump Phase-Locked Loop Using Autonomous Difference Equations}, volume={61},
    DOI={<a href="https://doi.org/10.1109/tcsi.2014.2333331">10.1109/tcsi.2014.2333331</a>},
    number={9}, journal={IEEE Transactions on Circuits and Systems I: Regular Papers},
    publisher={Institute of Electrical and Electronics Engineers (IEEE)}, author={Hangmann,
    Christian and Hedayat, Christian and Hilleringmann, Ulrich}, year={2014}, pages={2569–2577}
    }'
  chicago: 'Hangmann, Christian, Christian Hedayat, and Ulrich Hilleringmann. “Stability
    Analysis of a Charge Pump Phase-Locked Loop Using Autonomous Difference Equations.”
    <i>IEEE Transactions on Circuits and Systems I: Regular Papers</i> 61, no. 9 (2014):
    2569–77. <a href="https://doi.org/10.1109/tcsi.2014.2333331">https://doi.org/10.1109/tcsi.2014.2333331</a>.'
  ieee: 'C. Hangmann, C. Hedayat, and U. Hilleringmann, “Stability Analysis of a Charge
    Pump Phase-Locked Loop Using Autonomous Difference Equations,” <i>IEEE Transactions
    on Circuits and Systems I: Regular Papers</i>, vol. 61, no. 9, pp. 2569–2577,
    2014, doi: <a href="https://doi.org/10.1109/tcsi.2014.2333331">10.1109/tcsi.2014.2333331</a>.'
  mla: 'Hangmann, Christian, et al. “Stability Analysis of a Charge Pump Phase-Locked
    Loop Using Autonomous Difference Equations.” <i>IEEE Transactions on Circuits
    and Systems I: Regular Papers</i>, vol. 61, no. 9, Institute of Electrical and
    Electronics Engineers (IEEE), 2014, pp. 2569–77, doi:<a href="https://doi.org/10.1109/tcsi.2014.2333331">10.1109/tcsi.2014.2333331</a>.'
  short: 'C. Hangmann, C. Hedayat, U. Hilleringmann, IEEE Transactions on Circuits
    and Systems I: Regular Papers 61 (2014) 2569–2577.'
date_created: 2023-01-24T11:26:19Z
date_updated: 2023-03-22T10:15:23Z
department:
- _id: '59'
doi: 10.1109/tcsi.2014.2333331
intvolume: '        61'
issue: '9'
keyword:
- Electrical and Electronic Engineering
language:
- iso: eng
page: 2569-2577
publication: 'IEEE Transactions on Circuits and Systems I: Regular Papers'
publication_identifier:
  issn:
  - 1549-8328
  - 1558-0806
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: Stability Analysis of a Charge Pump Phase-Locked Loop Using Autonomous Difference
  Equations
type: journal_article
user_id: '20179'
volume: 61
year: '2014'
...
