Deptartment of Probability Theory and Statistics
Eötvös Loránd University
Using the linear fractional parameterization of all solutions of the interpolation problem formulated on the right half-plane the input functions providing solutions with McMillan-degree less than the number of interpolation nodes will be characterized.
Using the covariance extension formulation we show that the interpolation problem formulated on the unit disc can be transformed into an orthogonality condition directly leading to a characterization of all solutions. State-space forms of the generalized Kimura-Georgiou-parameterization will be provided, as well.