Generalized Single Stage Class C Amplifier: Analysis from the Viewpoint of Chaotic Behavior
This paper briefly describes a recent discovery that occurred during the study of the simplest mathematical model of a class C amplifier with a bipolar transistor. It is proved both numerically and experimentally that chaos can be observed in this simple network structure under three conditions: (1)...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-07-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/15/5025 |
| _version_ | 1797561761647296512 |
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| author | Jiri Petrzela |
| author_facet | Jiri Petrzela |
| author_sort | Jiri Petrzela |
| collection | DOAJ |
| description | This paper briefly describes a recent discovery that occurred during the study of the simplest mathematical model of a class C amplifier with a bipolar transistor. It is proved both numerically and experimentally that chaos can be observed in this simple network structure under three conditions: (1) the transistor is considered non-unilateral, (2) bias point provides cubic polynomial feedforward and feedback transconductance, and (3) the LC tank has very high resonant frequency. Moreover, chaos is generated by an autonomous class C amplifier; i.e., an isolated system without a driving force is analyzed. By the connection of a harmonic input signal, much more complex behavior can be observed. Additionally, due to the high degree of generalization of the amplifier cell, similar fundamental circuits can be ordinarily found as subparts of typical building blocks of a radio frequency signal path. |
| first_indexed | 2024-03-10T18:19:09Z |
| format | Article |
| id | doaj.art-b0556d94ef7a4566bc023ab5f203c631 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T18:19:09Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-b0556d94ef7a4566bc023ab5f203c6312023-11-20T07:30:17ZengMDPI AGApplied Sciences2076-34172020-07-011015502510.3390/app10155025Generalized Single Stage Class C Amplifier: Analysis from the Viewpoint of Chaotic BehaviorJiri Petrzela0Department of Radio Electronics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 12, 616 00 Brno, Czech RepublicThis paper briefly describes a recent discovery that occurred during the study of the simplest mathematical model of a class C amplifier with a bipolar transistor. It is proved both numerically and experimentally that chaos can be observed in this simple network structure under three conditions: (1) the transistor is considered non-unilateral, (2) bias point provides cubic polynomial feedforward and feedback transconductance, and (3) the LC tank has very high resonant frequency. Moreover, chaos is generated by an autonomous class C amplifier; i.e., an isolated system without a driving force is analyzed. By the connection of a harmonic input signal, much more complex behavior can be observed. Additionally, due to the high degree of generalization of the amplifier cell, similar fundamental circuits can be ordinarily found as subparts of typical building blocks of a radio frequency signal path.https://www.mdpi.com/2076-3417/10/15/5025bilateral two-portclass C amplifierchaosLyapunov exponentsnonlinear trans-admittancestrange attractors |
| spellingShingle | Jiri Petrzela Generalized Single Stage Class C Amplifier: Analysis from the Viewpoint of Chaotic Behavior Applied Sciences bilateral two-port class C amplifier chaos Lyapunov exponents nonlinear trans-admittance strange attractors |
| title | Generalized Single Stage Class C Amplifier: Analysis from the Viewpoint of Chaotic Behavior |
| title_full | Generalized Single Stage Class C Amplifier: Analysis from the Viewpoint of Chaotic Behavior |
| title_fullStr | Generalized Single Stage Class C Amplifier: Analysis from the Viewpoint of Chaotic Behavior |
| title_full_unstemmed | Generalized Single Stage Class C Amplifier: Analysis from the Viewpoint of Chaotic Behavior |
| title_short | Generalized Single Stage Class C Amplifier: Analysis from the Viewpoint of Chaotic Behavior |
| title_sort | generalized single stage class c amplifier analysis from the viewpoint of chaotic behavior |
| topic | bilateral two-port class C amplifier chaos Lyapunov exponents nonlinear trans-admittance strange attractors |
| url | https://www.mdpi.com/2076-3417/10/15/5025 |
| work_keys_str_mv | AT jiripetrzela generalizedsinglestageclasscamplifieranalysisfromtheviewpointofchaoticbehavior |