Theory of Injection-Locked Oscillator Phase Noise

The paper describes the development of a model for the calculation of noise-driven phase response of an injection-locked oscillator perturbed by Gaussian white sources. Being based on the state space formalism the framework is unified encompassing all circuit topologies and methods of unilateral coupling. We thus avoid reverting to the kind of simplified block-diagram description that one finds in previously published works on the topic and our approach furthermore allows for all the main results and model parameters to be derived numerically based on the netlist description of the circuit. To our knowledge this constitutes the first attempt at an ILO phase-noise description not relying on block diagrams or other such phenomenological modelling strategies.