Exact lock-in range for a second-order PLL with discontinuous sawtooth phase detector characteristic
In the present work, we show how the development of the theory of differential equations with discontinuous right-hand sides allows to analyze a modern electronic system used for synchronization of signals. An exact solution to the Gardner problem on the lock-in range is obtained for a second-order type 2 phase-locked loop (PLL) with a sawtooth phase detector characteristic for the first time.
Authors
- M.Y. Lobachev (ORCID: https://orcid.org/0000-0001-6517-2477)
- Н. В. Кузнецов (ORCID: https://orcid.org/0000-0002-6474-9657)
- Olga Kuznetsova (ORCID: https://orcid.org/0000-0001-5592-5551)
- Elena V. Kudryashova
Institutions
- St Petersburg University (RU)
- Institute of Problems of Mechanical Engineering (RU)
Publication Details
- Published
- 2024-09-20
- DOI
- https://doi.org/10.1109/iccs62517.2024.10846772
- Citations
- 1
- Primary Topic
- Optical Network Technologies
- Type
- article
- Field-Weighted Citation Impact
- 0.21
Funders
- Saint Petersburg State University
- Russian Science Foundation