Title :
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
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;
Conference_Titel :
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-1281-3
DOI :
10.1109/ISCAS.1993.394303
