Fast characterization of the noise bounds derived from coefficient and signal quantization

Author

López, J.A. ; Carreras, Carlos ; Caffarena, Gabriel ; Nieto-Taladriz, O.

Author_Institution

ETSI Telecomunicacion, Univ. Politecnica de Madrid, Spain

Volume

4

fYear

2003

fDate

25-28 May 2003

Abstract

This paper presents a new method for computing the absolute noise bounds caused by quantization of coefficients and signals in fixed-point implementation of digital filters. A tool based on refined interval-based computations has been enhanced to calculate with reduced computational cost the implications of both effects in the finite wordlength behavior of the specific realizations. Finally, a particular filter realization is quantized using different wordlengths and the computed bounds are presented for comparison.

Keywords

Butterworth filters; IIR filters; circuit noise; circuit stability; digital filters; fixed point arithmetic; quantisation (signal); roundoff errors; N-order IIR stable filter; absolute noise bounds; asymptotic stability; coefficient quantization; digital filters; finite wordlength behavior; fixed-point implementation; interval simulation; refined interval-based computations; roundoff noise; second-order Butterworth filter; signal quantization; Cameras; Computational efficiency; Computational modeling; Digital filters; Frequency; IIR filters; Limit-cycles; Quantization; Telecommunication computing; Telecommunication standards;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on

Print_ISBN

0-7803-7761-3

Type

conf

DOI

10.1109/ISCAS.2003.1205835

Filename

1205835