Floating-point roundoff noises of first- and second-order sections in parallel form digital filters

Author

Tsai, Chimin

Author_Institution

Dept. of Electr. Eng., Chung-Hua Polytech. Inst., Hsin-Chu, Taiwan

Volume

44

Issue

9

fYear

1997

fDate

9/1/1997 12:00:00 AM

Firstpage

774

Lastpage

779

Abstract

Assuming wide-sense stationary white noise input, we investigated the floating-point roundoff noises of first- and second order digital subfilters. For first-order subfilters, the roundoff noise of parallel form 3P realization is invariably smaller than that of the corresponding parallel form 1P realization. The floating-point roundoff noise of a second-order subfilter depends on the order of additions. Criteria are developed to find the best order and to make the choice between parallel form 1P and 3P realizations

Keywords

digital filters; filtering theory; floating point arithmetic; roundoff errors; white noise; digital subfilters; first-order sections; floating-point roundoff noise; parallel form 1P realization; parallel form 3P realization; parallel form digital filters; second-order sections; stationary white noise input; Circuit noise; Computational complexity; Digital filters; Digital signal processing; Finite wordlength effects; Floating-point arithmetic; IIR filters; Quantization; Transfer functions; White noise;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.625021

Filename

625021