A new parametrization to the design of recursive digital filter

Author

Bai, Xiaokai ; Li, Gang

Author_Institution

Motorola Singapore Software Center, Singapore

Volume

1

fYear

2001

fDate

2001

Firstpage

21

Abstract

It is known that any Schur polynomial can be characterized with a set of lattice partial correlation coefficients {k_i} with |k _i| < 1, ∀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

Keywords

FIR filters; correlation methods; digital filters; low-pass filters; network parameters; network synthesis; polynomials; recursive filters; transfer functions; Schur polynomial; compact parametrization; complete parametrization; differentiable parametrized transfer function; lattice partial correlation coefficients; lattice structure; low-pass IIR filter; recursive digital filter design; stable transfer function space; Constraint optimization; Digital filters; Finite impulse response filter; Lattices; Polynomials; Reduced order systems; Signal processing; Stability; Transfer functions; Zinc;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing and its Applications, Sixth International, Symposium on. 2001

Conference_Location

Kuala Lumpur

Print_ISBN

0-7803-6703-0

Type

conf

DOI

10.1109/ISSPA.2001.949765

Filename

949765