New results on stable multidimensional polynomials- Part II: Discrete case

Properties of various multidimensional polynomials arising in studies on discrete multidimensional systems are investigated. Reactance Schur polynomials and immittance Schur polynomials occurring, respectively, as the denominators (and numerators) of discrete reactance functions and discrete positive functions are introduced and their properties studied. The role of these polynomials in scattering or immittance descriptions of passive discrete-time domain multiports are brought out. The interrelations between various classes of multidimensional polynomials arising in studies on discrete systems and the corresponding classes of polynomials in the context of continuous systems are also studied via the bilinear transformation.