Energy-based effective length of the impulse response of a recursive filter

Author

Laakso, Timo I. ; Välimäki, Vesa

Author_Institution

Lab. of Telecommun. Technol., Helsinki Univ. of Technol., Espoo, Finland

Volume

3

fYear

1998

fDate

12-15 May 1998

Firstpage

1253

Abstract

A measure for the effective length of the impulse response of a stable recursive digital filter based on accumulated energy is proposed. A general definition and a simple algorithm for its evaluation are introduced, and closed-form expressions are derived for first-order IIR filters. The effect of zeros on the effective length is analyzed. An upper bound for the effective length of higher-order filters is derived using results for low-order filters. The new measure finds applications in several fields of digital signal processing, including estimation of the extent of attack transients for filters with dynamically varying inputs, elimination of transients in variable recursive filters, and design and implementation of linear-phase IIR systems

Keywords

IIR filters; circuit stability; filtering theory; poles and zeros; recursive filters; signal processing; accumulated energy; algorithm; attack transients estimation; closed-form expressions; digital signal processing; dynamically varying inputs; energy-based effective length; first-order IIR filters; higher-order filters; impulse response; linear-phase IIR systems; low-order all-pole filters; stable recursive digital filter; upper bound; variable recursive filters; zeros; Closed-form solution; Digital filters; Digital signal processing; Energy measurement; IIR filters; Length measurement; Recursive estimation; Signal design; Signal processing algorithms; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on

Conference_Location

Seattle, WA

ISSN

1520-6149

Print_ISBN

0-7803-4428-6

Type

conf

DOI

10.1109/ICASSP.1998.681672

Filename

681672