Design of variable fractional delay allpass filter using weighted least squares method

Author

Tseng, Chien-Cheng

Author_Institution

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

Volume

5

fYear

2002

fDate

2002

Abstract

In this paper, a weighted least squares method is presented to design a variable fractional delay allpass filter. First, each coefficient of the variable allpass filter is expressed as the polynomial of the fractional delay parameter. Then, by minimizing the phase approximation error, the optimal polynomial coefficients can be obtained by solving a set of linear simultaneous equations. Finally, the design examples are demonstrated to illustrate the effectiveness of the proposed approach.

Keywords

all-pass filters; delays; design engineering; digital filters; error analysis; least squares approximations; polynomials; fractional delay parameter polynomial; linear simultaneous equations; optimal polynomial coefficients; phase approximation error minimization; variable allpass filter coefficients; variable fractional delay allpass filter design; weighted least squares method; Delay; Design methodology; Finite impulse response filter; Frequency response; IIR filters; Least squares approximation; Least squares methods; Polynomials; Signal sampling; Speech synthesis;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on

Print_ISBN

0-7803-7448-7

Type

conf

DOI

10.1109/ISCAS.2002.1010803

Filename

1010803