Closed-Form Design of Digital IIR Integrators Using Numerical Integration Rules and Fractional Sample Delays

Author

Tseng, Chien-Cheng

Author_Institution

Dept. of Comput. & Commun. Eng., Nat. Kaohsiung First Univ. ofScience & Technol.

Volume

54

Issue

3

fYear

2007

fDate

3/1/2007 12:00:00 AM

Firstpage

643

Lastpage

655

Abstract

In this paper, the numerical integration rules and fractional sample delays will be used to obtain the closed-form design of infinite-impulse response (IIR) digital integrators. There are two types of numerical integration rules to be investigated. One is Newton-Cotes quadrature rule, the other is Gauss-Legendre integration rule. Although the proposed IIR digital integrators will involve the implementation of fractional sample delays, this problem is easily solved by applying well-documented design techniques of the finite-impulse response Lagrange and IIR allpass fractional delay filters. Several design examples are illustrated to demonstrate the effectiveness of the proposed method

Keywords

IIR filters; integrating circuits; Gauss-Legendre integration rule; Newton-Cotes quadrature rule; closed-form design; digital IIR integrators; fractional sample delays; infinite-impulse response; numerical integration rules; Delay; Digital filters; Finite impulse response filter; Gaussian processes; Helium; IIR filters; Lagrangian functions; Nonlinear filters; Sampling methods; Transfer functions; Digital integrator; Gauss–Legendre integration rule; Newton–Cotes quadrature (NCQ) rule; finite-impulse response (FIR) filter; fractional sample delay; infinite-impulse response (IIR) filter;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2006.887641

Filename

4126809