Design of Fractional Delay Filter Using Hermite Interpolation Method

Author

Tseng, Chien-Cheng ; Lee, Su-Ling

Author_Institution

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

Volume

59

Issue

7

fYear

2012

fDate

7/1/2012 12:00:00 AM

Firstpage

1458

Lastpage

1471

Abstract

In this paper, the design of fractional delay (FD) filters using the Hermite interpolation is investigated. First, the transfer function of fixed FD filters is obtained from the Hermite interpolation formula by using variable substitution. Then, two implementation methods for the Hermite-based FD filters are presented. One is the derivative sampling scheme using an analog differentiator, the other is the Shannon sampling scheme with an auxiliary digital differentiator. Next, the proposed method is applied to design wide-range variable fractional delay (VFD) filters and some extensions are made. Finally, several numerical examples are demonstrated to show the effectiveness of the proposed Hermite interpolation design method.

Keywords

delay filters; differentiating circuits; interpolation; sampling methods; transfer functions; Hermite interpolation method; Shannon sampling scheme; VFD filters; analog differentiator; auxiliary digital differentiator; derivative sampling scheme; fixed FD filters; transfer function; variable substitution; wide-range variable fractional delay filter design; Adders; Delay; Design methodology; Frequency domain analysis; Frequency response; Interpolation; Polynomials; Digital filter; Hermite interpolation; Lagrange interpolation; fractional delay;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2011.2177136

Filename

6132451