A method of evaluating the effects of signal quantization at arbitrary locations in recursive digital filters

Author

Worthington, Stephen ; Turner, L.E.

Author_Institution

Dept. of Electr. & Comput. Eng., Calgary Univ., Alta., Canada

fYear

1993

fDate

3-6 May 1993

Firstpage

615

Abstract

Digital implementations of recursive discrete time linear shift invariant filters require that signals within the filter be quantized. The problem of characterizing the effects of quantization operations at arbitrary locations within recursive digital filters is examined. A bound on the peak amplitude of undesirable error signals due to quantization is developed. This bound can be expressed in both closed form and iterative form. A means of computing the number of iterations required for both the iterative bound and the l₁ norm bound to converge to a specified accuracy is derived

Keywords

convergence; digital filters; discrete time filters; filtering theory; quantisation (signal); recursive filters; error signals; iterative bound; l₁ norm bound; linear shift invariant filters; peak amplitude; recursive digital filters; signal quantization; Difference equations; Digital arithmetic; Digital filters; Eigenvalues and eigenfunctions; Large scale integration; Nonlinear filters; Quantization; Quantum computing;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on

Conference_Location

Chicago, IL

Print_ISBN

0-7803-1281-3

Type

conf

DOI

10.1109/ISCAS.1993.393796

Filename

393796