Chaotic Oscillations in a Third Order PLL in the Face of Two Co-Channel Signals and Its Control
A third order phase locked loop incorporating a resonant type second order filter is a conditionally stable system and shows complicated dynamics including chaotic oscillations for a range of loop parameters. In the face of two co-channel signals, an otherwise stable loop may be thrown into a chao...
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| Format: | Article |
| Language: | English |
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Eastern Macedonia and Thrace Institute of Technology
2014-11-01
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| Series: | Journal of Engineering Science and Technology Review |
| Subjects: | |
| Online Access: | http://www.jestr.org/downloads/Volume8Issue2/fulltext82102015.pdf |
| _version_ | 1819058357110046720 |
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| author | B. C. Sarkar S. Chakraborty |
| author_facet | B. C. Sarkar S. Chakraborty |
| author_sort | B. C. Sarkar |
| collection | DOAJ |
| description | A third order phase locked loop incorporating a resonant type second order filter is a conditionally stable system and
shows complicated dynamics including chaotic oscillations for a range of loop parameters. In the face of two co-channel
signals, an otherwise stable loop may be thrown into a chaotic state, depending on the relative strength and mutual
frequency offset of the input signals. We have predicted the parameter zone for chaotic state of the loop through
numerical studies and verified the prediction by hardware experiment. Then we modify the loop structure to incorporate
an additional control signal which stabilizes the loop dynamics and removes the chaotic oscillations. The improved
response of the loop is established numerically and experimentally. |
| first_indexed | 2024-12-21T13:53:55Z |
| format | Article |
| id | doaj.art-acdb2ec9f56c4841a91155e254119ce4 |
| institution | Directory Open Access Journal |
| issn | 1791-2377 1791-2377 |
| language | English |
| last_indexed | 2024-12-21T13:53:55Z |
| publishDate | 2014-11-01 |
| publisher | Eastern Macedonia and Thrace Institute of Technology |
| record_format | Article |
| series | Journal of Engineering Science and Technology Review |
| spelling | doaj.art-acdb2ec9f56c4841a91155e254119ce42022-12-21T19:01:38ZengEastern Macedonia and Thrace Institute of TechnologyJournal of Engineering Science and Technology Review1791-23771791-23772014-11-01826873Chaotic Oscillations in a Third Order PLL in the Face of Two Co-Channel Signals and Its ControlB. C. Sarkar0S. Chakraborty1Physics Department, Burdwan University, Burdwan-713104, West Bengal, India.Physics Department, Bidhan Chandra College, Asansol- 713304, West Bengal, India.A third order phase locked loop incorporating a resonant type second order filter is a conditionally stable system and shows complicated dynamics including chaotic oscillations for a range of loop parameters. In the face of two co-channel signals, an otherwise stable loop may be thrown into a chaotic state, depending on the relative strength and mutual frequency offset of the input signals. We have predicted the parameter zone for chaotic state of the loop through numerical studies and verified the prediction by hardware experiment. Then we modify the loop structure to incorporate an additional control signal which stabilizes the loop dynamics and removes the chaotic oscillations. The improved response of the loop is established numerically and experimentally.http://www.jestr.org/downloads/Volume8Issue2/fulltext82102015.pdfThird order Phase Locked Loopchaotic dynamicsco-channel interferenceproportional-Integrating-derivative controlLyapunov exponent. _________________ |
| spellingShingle | B. C. Sarkar S. Chakraborty Chaotic Oscillations in a Third Order PLL in the Face of Two Co-Channel Signals and Its Control Journal of Engineering Science and Technology Review Third order Phase Locked Loop chaotic dynamics co-channel interference proportional-Integrating-derivative control Lyapunov exponent. _________________ |
| title | Chaotic Oscillations in a Third Order PLL in the Face of Two Co-Channel Signals and Its Control |
| title_full | Chaotic Oscillations in a Third Order PLL in the Face of Two Co-Channel Signals and Its Control |
| title_fullStr | Chaotic Oscillations in a Third Order PLL in the Face of Two Co-Channel Signals and Its Control |
| title_full_unstemmed | Chaotic Oscillations in a Third Order PLL in the Face of Two Co-Channel Signals and Its Control |
| title_short | Chaotic Oscillations in a Third Order PLL in the Face of Two Co-Channel Signals and Its Control |
| title_sort | chaotic oscillations in a third order pll in the face of two co channel signals and its control |
| topic | Third order Phase Locked Loop chaotic dynamics co-channel interference proportional-Integrating-derivative control Lyapunov exponent. _________________ |
| url | http://www.jestr.org/downloads/Volume8Issue2/fulltext82102015.pdf |
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