Injection locking conditions under small periodic excitations

Author

Gourary, M.M. ; Rusakov, S.G. ; Ulyanov, S.L. ; Zharov, M.M. ; Mulvaney, B.J. ; Gullapalli, K.K.

Author_Institution

IPPM, Russian Acad. of Sci., Moscow

fYear

2008

fDate

18-21 May 2008

Firstpage

544

Lastpage

547

Abstract

Injection locking of oscillators subject to small periodic excitations is derived from existence conditions of the solution of the small signal harmonic balance degenerate system. The resulting expression for the locking range can be applied to any oscillator circuit with arbitrary periodic injection waveform, and can be easily implemented into a circuit simulator. The application of the general expression to some special cases is considered, and comparison with known results is given. Theoretical results are confirmed by SPICE simulations.

Keywords

SPICE; injection locked oscillators; SPICE simulations; arbitrary periodic injection waveform; injection locking; integrated circuit simulation; oscillators; signal harmonic balance degenerate system; small periodic excitations; Circuit simulation; Differential equations; Frequency domain analysis; Genetic expression; Injection-locked oscillators; Jacobian matrices; Region 8; Ring oscillators; Steady-state; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2008. ISCAS 2008. IEEE International Symposium on

Conference_Location

Seattle, WA

Print_ISBN

978-1-4244-1683-7

Electronic_ISBN

978-1-4244-1684-4

Type

conf

DOI

10.1109/ISCAS.2008.4541475

Filename

4541475