Dimensional extension of Kurokawa's stability criterion for general multi-port device oscillators

[摘要] References(2)Cited-By(1)This paper presents a theoretical formulation on the stability criteria for non-linear oscillator circuits. We extend Kurokawa's discriminant to a general free-running oscillator employing an n-port active device. It is shown that the product of device admittance and passive circuit impedance matrices dominates the oscillation behavior. The frequency- and amplitude-partial derivatives of the matrix determinant play a key role in the stability analysis. The obtained results are especially effective for designing broadband micro- and millimeter-wave signal generators and frequency synthesizers.

[学科分类] 电子、光学、磁材料

[关键词] nonlinear;oscillator;stability;discriminant;matrix;determinant