Design of fractional delay filters using convex optimization

Author

Putnam, William ; Smith, Julius

Author_Institution

Dept. of Electr. Eng., Stanford Univ., CA, USA

fYear

1997

fDate

19-22, Oct 1997

Abstract

Fractional sample delay (FD) filters are useful and necessary in many applications, such as the accurate steering of acoustic arrays, delay lines for physical models of musical instruments, and time delay estimation. This paper addresses the design of finite impulse response (FIR) FD filters. The problem is posed as a convex optimization problem in which the maximum modulus of the complex error is minimized. Several design examples are presented, along with an empirical formula for the filter order required to meet a given worst case group delay error specification

Keywords

FIR filters; circuit optimisation; delays; digital filters; filtering theory; signal sampling; FIR filters; acoustic arrays steering; complex error; convex optimization; delay lines; empirical formula; filter order; finite impulse response FD filters; fractional delay filters design; fractional sample delay filters; group delay error specification; maximum modulus; musical instruments; physical models; time delay estimation; Acoustic applications; Acoustic arrays; Delay effects; Delay estimation; Design optimization; Filtering; Finite impulse response filter; Frequency response; Lagrangian functions; Music;

fLanguage

English

Publisher

ieee

Conference_Titel

Applications of Signal Processing to Audio and Acoustics, 1997. 1997 IEEE ASSP Workshop on

Conference_Location

New Paltz, NY

Print_ISBN

0-7803-3908-8

Type

conf

DOI

10.1109/ASPAA.1997.625616

Filename

625616