Analysis of roundoff noise in floating point digital filters

Author

Rao, Bhaskar

Author_Institution

AMES Dept., California Univ., San Diego, La Jolla, CA

fYear

1991

fDate

14-17 Apr 1991

Firstpage

1893

Abstract

A systematic approach for the analysis of roundoff noise in floating point digital filters is presented. The analysis is based on a high level model developed to deal with the errors in the inner product operation. The model consists of an efficient procedure to keep track of the addition scheme is used in the inner product, and to compute the statistics of the errors. The tractability of the analysis is demonstrated by deriving general expressions for the roundoff noise of FIR (finite impulse response) and IIR (infinite impulse response) filters. Also, the connection between coefficient sensitivity analysis and roundoff noise analysis is discussed

Keywords

digital arithmetic; digital filters; error statistics; noise; FIR filters; IIR filters; addition; coefficient sensitivity analysis; error statistics; finite impulse response; floating point digital filters; high level model; infinite impulse response; inner product operation; roundoff noise analysis; Digital filters; Error analysis; Finite impulse response filter; Fixed-point arithmetic; Floating-point arithmetic; Genetic expression; IIR filters; Roundoff errors; Sensitivity analysis; Signal analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on

Conference_Location

Toronto, Ont.

ISSN

1520-6149

Print_ISBN

0-7803-0003-3

Type

conf

DOI

10.1109/ICASSP.1991.150741

Filename

150741