Title :
A new parametrization to the design of recursive digital filter
Author :
Bai, Xiaokai ; Li, Gang
Author_Institution :
Motorola Singapore Software Center, Singapore
Abstract :
It is known that any Schur polynomial can be characterized with a set of lattice partial correlation coefficients {ki} 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;
Conference_Titel :
Signal Processing and its Applications, Sixth International, Symposium on. 2001
Conference_Location :
Kuala Lumpur
Print_ISBN :
0-7803-6703-0
DOI :
10.1109/ISSPA.2001.949765
