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    Please use this identifier to cite or link to this item: http://asiair.asia.edu.tw/ir/handle/310904400/8808


    Title: A novel approach to stability analysis of fixed-point digital filters under finite word length effects
    Authors: Ko, Hsien-Ju;Yu, Wen-Shyong
    Contributors: Department of Computer and Communication Engineering
    Keywords: Boundary layers;Digital filters;Eigenvalues and eigenfunctions;Errors;Information technology;Instruments;Numerical analysis;Stability criteria;Wave filters;Algebraic methods;Computational errors;Digital filter implementations;Eigenvalue sensitivities;Filter models;Filter parameters;Finite word lengths;Fixed-point implementations;Point arithmetics;Similarity transformations;Stability analyses;Statistical models;Sufficient and necessary conditions
    Date: 2008
    Issue Date: 2010-04-08 20:09:58 (UTC+8)
    Publisher: Asia University
    Abstract: 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 (normal-form 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. © 2008 SICE.
    Relation: Proceedings of the SICE Annual Conference :2388-2392
    Appears in Collections:[光電與通訊學系] 會議論文

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