Analyzing finite-wordlength effects in block state space filters

Author

Reng, Richard L. ; Schwarz, Karl ; Schuessler, Hans W.

Author_Institution

Univ., Erlangen-Nuernberg, Erlangen, Germany

Volume

3

fYear

1993

fDate

27-30 April 1993

Firstpage

85

Abstract

Periodically time-varying distortions arising in block state space (BSS) filter structures due to coefficient quantization may contribute significantly to the total amount of distortions observed in the output signal. A theoretical concept for analyzing both aliasing/imaging and roundoff noise in BSS structures is discussed. The measurement method reported by R.L. Reng and H.W. Schuessler (1992) is applied to BSS filters implemented with unbiased rounding and two´s complement truncation. With a data path wordlength of 16 bits the measurement results are in excellent agreement with the theoretical results. The measurement method is also applicable if the assumption of inserting uncorrelated noise at the rounding points is not valid.<>

Keywords

digital filters; error analysis; roundoff errors; state-space methods; 16 bits; aliasing; block state space filters; coefficient quantization; finite-wordlength effects; imaging noise; roundoff noise; time-varying distortions; two´s complement truncation; unbiased rounding;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1993. ICASSP-93., 1993 IEEE International Conference on

Conference_Location

Minneapolis, MN, USA

ISSN

1520-6149

Print_ISBN

0-7803-7402-9

Type

conf

DOI

10.1109/ICASSP.1993.319441

Filename

319441