Parametric model for 2D real scattering Schur polynomials
Anton Kummert · 2002
In the field of multidimensional stability theory so called scattering Hurwitz polynomials (in the continuous case) and scattering Schur polynomials (in the discrete) case play a crucial role. In the present paper a parametric representation for real two-variable scattering Schur polynomials is given. The following features of this model makes it best suited for the computer based design of 2-D systems, namely no dependencies between the real valued parameters, coverage of the whole class of 2-D scattering Schur polynomials, and the coefficients of the polynomials are rational functions of the parameters. The synthesis of two-dimensional (2-D) lossless networks and Householder matrices form the basis of our considerations.