A new parametrization to the design of recursive digital filter

Abstract

It is known that any Schur polynomial can be characterized with a set of lattice partial correlation coefficients {k/sub i/} with |k/sub i/| < 1, /spl forall/i and this mapping is one-to-one. In this paper, based on the lattice structure we propose an alternative parametrization. It is important to notice that this parametrization is complete and compact, corresponds to the entire stable transfer function space and that any such parametrized transfer function is differentiable.