Extended properties of the Levinson recursion and lattice filters

Author

Mazel, David S. ; Hayes, Monson H., III

Author_Institution

Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

38

Issue

5

fYear

1991

fDate

5/1/1991 12:00:00 AM

Firstpage

539

Lastpage

542

Abstract

The direct parallels between the z-transform and the Levinson recursion, such as complex conjugation, sequence reversal, upsampling, and modulation by a complex exponential of unity magnitude, are explored, and the effects on the associated lattice filter structures are investigated. The modulation property of a general complex exponential for the z-transform is extended to the lattice filter with a systematic modification of the reflection coefficients of the filter. A reciprocal-based lattice filter is derived. It has the structure of a standard lattice filter yet the zeros of the system function depend explicitly on the weighting functions of the filter. This filter has the property that the system function roots remain fixed as additional sections are added to the filter

Keywords

digital filters; filtering and prediction theory; modulation; poles and zeros; FIR filters; Levinson recursion; complex conjugation; complex exponential; lattice filters; modulation property; reciprocal-based filter; reflection coefficients; sequence reversal; system function roots; system function zeros; upsampling; weighting functions; z-transform; Circuits and systems; Digital filters; Finite impulse response filter; Lattices; Linearity; Nonlinear filters; Polynomials; Reflection; Statistical analysis;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.76490

Filename

76490