The study of synchronous and frequency demultiplication phase-locking for coupling each other system with two BNRT oscillators

Author

Yu, Daoheng ; Jia, Jiyou ; Yu, Xiang ; Mori, Shinsaku

Author_Institution

Dept. of Electr. Eng., Keio Univ., Yokohama, Japan

fYear

1993

fDate

3-6 May 1993

Firstpage

2620

Abstract

In studies of a new coupling system with two bidirectional negative resistance transistor (BNRT) oscillators, the authors give its dynamic equation by a piecewise linear dynamic version. By analyzing its synchronous relaxation wave feature, the frequency demultiplicated distribution is drawn in 3D parameter space and a general fractional phase-locking formula is derived. An analysis of the nonlinear phenomenon based on the geometry in the parameter plane and a synchronous sharp corner model is presented. The frequency demultiplicated ratio for any condition can be easily obtained. Experimental results agree well with the computed ones by using this method

Keywords

active networks; coupled circuits; negative resistance devices; network parameters; nonlinear network analysis; phase locked oscillators; piecewise-linear techniques; 3D parameter space; BNRT oscillators; bidirectional negative resistance transistor; coupling system; dynamic equation; fractional phase-locking formula; frequency demultiplicated distribution; frequency demultiplication phase-locking; parameter plane; piecewise linear dynamic version; synchronous relaxation wave feature; synchronous sharp corner model; Automation; Coupling circuits; Frequency control; Geometry; Magnetooptic recording; Nonlinear dynamical systems; Nonlinear equations; Space technology; Voltage control; Voltage-controlled oscillators;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on

Conference_Location

Chicago, IL

Print_ISBN

0-7803-1281-3

Type

conf

DOI

10.1109/ISCAS.1993.394303

Filename

394303