Statistical sensitivity and minimum sensitivity structures of 2-D separable-denominator digital filters

Author

Saito, Shumon ; Kawamata, Masayuki

Author_Institution

Graduate Sch. of Eng., Tohoku Univ., Sendai, Japan

Volume

2

fYear

2001

fDate

6-9 May 2001

Firstpage

501

Abstract

This paper proposes a statistical sensitivity of 2-D separable-denominator digital filters using the state-space approach. The sensitivity in this paper is represented by the controllability and the observability gramians and the state covariance matrix of the filters. The minimum sensitivity structures can be synthesized by giving an assumption to simplify the sensitivities. Numerical examples show that the proposed sensitivity is in very good agreement with the actual output error variance, and that minimum statistical sensitivity structures have a very small degradation of the frequency characteristic due to coefficient quantization

Keywords

controllability; covariance matrices; observability; quantisation (signal); sensitivity analysis; state-space methods; two-dimensional digital filters; 2D separable-denominator digital filters; coefficient quantization; controllability; frequency characteristic; minimum sensitivity structures; observability gramians; output error variance; state covariance matrix; state-space approach; statistical sensitivity; Analysis of variance; Artificial intelligence; Degradation; Digital filters; Error analysis; Frequency domain analysis; Hardware; Observability; Quantization; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on

Conference_Location

Sydney, NSW

Print_ISBN

0-7803-6685-9

Type

conf

DOI

10.1109/ISCAS.2001.921117

Filename

921117