A Novel Nonlinear Analytical Microwave Oscillator Design Approach Using Signal Space

The Signal Space approach [1],[2], which is an extension of Steer\´s [3] "Generalized Power Series" method, enables for a given nonlinearity, a direct calculation of the current spectrum given the voltage spectrum. This approach is suited to the implementation for harmonic balance which is today the most useful approach for nonlinear microwave network analysis [4],[5]. In this paper we propose analytical design tool for oscillators using the Signal Space approach. The expressions for oscillator parameters such as oscillation frequency, stability conditions, power output, injection locking bandwidth etc., were applied in the design of a X band Gunn microstrip oscillator in the MATLAB program. The stability condition expression is compatible with Kurakawa\´s results, and the injection locking bandwidth calculation includes Adler\´s expression as a limiting case. There is good agreement between the simulation and the measurement results.