Phase noise characterization of SAW oscillators based on a Newton minimization procedure

An iterative minimization technique is used to optimize the values of circuit and device parameters which determine the phase noise response of a voltage-controlled SAW-stabilized oscillator (VCSO). An expression-developed by T.E. Parker (1985) is used to calculate the double-sideband phase noise to carrier ratio from circuit parameter values; good agreement between calculations and phase noise measurements is achieved by minimizing the squared error through the use of a steepest-descent/Newton-Raphson minimization scheme. Less accurately known circuit parameters are thus optimized in an iterative fashion. Exact expressions for the elements of the Hessian Matrix are used in the Newton-Raphson procedure, allowing for fast computations. The numerical findings suggest that useful results can be obtained in the determination of VCSO circuit parameters.<>