A novel approach to stability analysis of fixed-point digital filters under finite word length effects

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題名:	A novel approach to stability analysis of fixed-point digital filters under finite word length effects
作者:	柯賢儒;Ko, Hsien-Ju
貢獻者:	光電與通訊學系
日期:	2008-08
上傳時間:	2012-11-26 02:21:53 (UTC+0)
摘要:	"In this paper, a novel approach is proposed to analyze and minimize ﬁxed-point arithmetic errors for digital ﬁlter implementations based on eigenvalue sensitivity measures. First, uncertainties of the ﬁlter-parameter caused by roundoff and computational errors are expressed in function of register length for ﬁxed-point implementations. Sequentially, based on ﬁxed-point statistical model and normal-form transformation, a stability criterion of the dynamical ﬁlter model is derived to form a similarity transformation with a sufﬁcient and necessary condition of the stability. Thus, eigenvalue sensitivity measure with respect to ﬁlter parameters is constructed in the sense of induced 2-norm. This measure is minimized by an optimal similarity transformation (normalform transformation) obtained from an analytically algebraic method. Based upon this transformation as well as the stability criterion, a least register length can be obtained. Finally, an example is performed to illustrate the effectiveness of the proposed scheme."
關聯:	Proceedings of the SICE Annual Conference
顯示於類別:	[光電與通訊學系] 期刊論文

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