A Matrix Factorization-Based Structure for Digital Filters

Author

Li, Gang ; Chu, Jian ; Wu, Jun

Author_Institution

Zhejiang Univ. of Technol., Hangzhou

Volume

55

Issue

10

fYear

2007

Firstpage

5108

Lastpage

5112

Abstract

In this correspondence, a novel digital filter structure is derived using matrix factorization. This structure, called the LCW-structure, is an improved version of the so-called LGS-structure proposed by Li, Gevers, and Sun [ldquoPerformance Analysis of a New Structure for Digital Filter Implementation,rdquo IEEE Transactions on Circuits and Systems I, vol. 47, no. 4, pp. 474-482, April 2000]. For a digital filter of order , this new structure requires 4N - 1 multiplications and 4N - 1 additions for computing one filter output sample, instead of 7N - 3 and 6N - 3, respectively, which are needed for the LGS-structure. An expression of the roundoff noise gain is derived for the LCW-structure. Design examples are presented to demonstrate the behavior of this structure and to compare with several well-known digital filter structures in terms of minimizing roundoff noise and implementation efficiency.

Keywords

digital filters; filtering theory; matrix decomposition; roundoff errors; LCW structure; LGS structure; digital filter structure; filter output sample; matrix factorization; roundoff noise gain; Adaptive filters; Adders; Circuits and systems; Differential equations; Digital filters; IIR filters; Lattices; Noise reduction; Polynomials; Sun; Digital filter structures; finite-word-length (FWL) effects; roundoff noise; state-space realizations;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2007.896111

Filename

4305449