The dynamics of parametric frequency divider and some of its practical implications

Author

Sarafian, G. ; Kaplan, B.Z.

Author_Institution

Dept. of Electr. & Comput. Eng., Ben-Gurion Univ. of the Negev, Beer-Sheva, Israel

fYear

1996

Firstpage

523

Lastpage

526

Abstract

The dynamics of a parametric frequency divider is treated rigorously. The complicated process of subharmonic generation is shown to be related to the Mathieu equation. Due to its similarity to the well known RL diode circuit, the system is capable of generating chaos as well as subharmonics. Hence, the circuit can not merely be regarded as a core for constructing frequency synthesizers but it can probably serve as a noise generator as well. Furthermore, recently suggested methods of chaos control may enable the output to be switched rapidly between different types of subharmonics modes of operation

Keywords

bifurcation; chaos; frequency dividers; frequency synthesizers; harmonic generation; noise generators; nonlinear dynamical systems; parametric devices; Mathieu equation; bifurcation; chaos control; chaos generation; frequency synthesizers; noise generator; parametric frequency divider; subharmonic generation; system dynamics; Bifurcation; Chaos; Circuits; Diodes; Frequency conversion; Frequency synthesizers; Mathematical model; Nonlinear equations; Varactors; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Electronics Engineers in Israel, 1996., Nineteenth Convention of

Conference_Location

Jerusalem

Print_ISBN

0-7803-3330-6

Type

conf

DOI

10.1109/EEIS.1996.567031

Filename

567031