Design of Chaotic Colpitts Oscillator with Prescribed Frequency Distribution

The aim of this paper is to provide a guide for the design of chaotic Colpitts oscillator with prescribed frequency distribution. The model and the normalized state equation of the Colpitts circuit are illustrated, and the mathematic expressions of the physical circuit parameters are derived, with which chaotic oscillation with prescribed frequency distribution can be established. The mathematic expressions are verified by circuit simulation with a professional RF and microwave circuit simulator.

[1]  Single-transistor microwave chaotic oscillator , 2000 .

[2]  Michael Peter Kennedy,et al.  Nonlinear analysis of the Colpitts oscillator and applications to design , 1999 .

[3]  A. I. Panas,et al.  Wideband microwave chaotic oscillators , 2002, ICCSC'02. 1st IEEE International Conference on Circuits and Systems for Communications. Proceedings (IEEE Cat. No.02EX605).

[4]  Peter Aronhime,et al.  High-frequency Chua's circuit , 2000, Proceedings of the 43rd IEEE Midwest Symposium on Circuits and Systems (Cat.No.CH37144).

[5]  C. Wegener.  RF chaotic Colpitts oscillator , 1995 .

[6]  Zhongyi Chen,et al.  Chaotic Motion in Bounded Noise Perturbation of Simple Pendulum and Harmonic Oscillator , 2003 .

[7]  G. M. Maggio,et al.  Classification of steady-state behavior of the Colpitts oscillator , 1999, ICECS'99. Proceedings of ICECS '99. 6th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.99EX357).

[8]  Antanas Cenys,et al.  Two-stage chaotic Colpitts oscillator , 2001 .

[9]  Louis M. Pecora.  Overview of chaos and communications research , 1993, Optics & Photonics.

[10]  Stick-Slip Chaotic Oscillations in a Quasi-Autonomous Mechanical System , 2003 .

[11]  Ji-Huan He,et al.  Α Review on Some New Recently Developed Nonlinear Analytical Techniques , 2000 .

[12]  Michael Peter Kennedy.  Chaos in the Colpitts oscillator , 1994 .

[13]  R. Pecora,et al.  Dynamic light scattering from macromolecules , 1993, Photonics West - Lasers and Applications in Science and Engineering.