Higher order s-to-z mapping functions and their application in digitizing continuous-time filters

Author

Schneider, Alan M. ; Kaneshige, John Tadashi ; Groutage, F. Dale

Author_Institution

California Univ., San Diego, CA, USA

Volume

79

Issue

11

fYear

1991

fDate

11/1/1991 12:00:00 AM

Firstpage

1661

Lastpage

1674

Abstract

A family of higher order numerical integration formulas and their corresponding s-to-z mapping functions are presented. Two of the main problems are stability and handling discontinuous inputs. The stability question is resolved by analyzing the stability regions of the mapping functions relative to the Nyquist sampling criterion. Sources of error in the accuracy of the output of digitized filters relative to their continuous-time counterparts are explored. Techniques for digitizing continuous-time filters, using the mapping functions, are developed for reducing different sources of error, including error resulting from discontinuous inputs

Keywords

digital filters; filtering and prediction theory; integration; stability; Nyquist sampling criterion; continuous-time filters; discontinuous inputs; error sources; numerical integration; s-to-z mapping functions; stability; Control systems; Differential equations; Digital filters; Missiles; Nonlinear filters; Sampling methods; Stability analysis; Stability criteria; Transfer functions;

fLanguage

English

Journal_Title

Proceedings of the IEEE

Publisher

ieee

ISSN

0018-9219

Type

jour

DOI

10.1109/5.118990

Filename

118990