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  • Research Article
  • Open Access

Sensitivity-Based Pole and Input-Output Errors of Linear Filters as Indicators of the Implementation Deterioration in Fixed-Point Context

EURASIP Journal on Advances in Signal Processing20102011:893760

Received: 30 June 2010

Accepted: 19 November 2010

Published: 1 December 2010


Input-output or poles sensitivity is widely used to evaluate the resilience of a filter realization to coefficients quantization in an FWL implementation process. However, these measures do not exactly consider the various implementation schemes and are not accurate in general case. This paper generalizes the classical transfer function sensitivity and pole sensitivity measure, by taking into consideration the exact fixed-point representation of the coefficients. Working in the general framework of the specialized implicit descriptor representation, it shows how a statistical quantization error model may be used in order to define stochastic sensitivity measures that are definitely pertinent and normalized. The general framework of MIMO filters and controllers is considered. All the results are illustrated through an example.


Error ModelGeneral FrameworkImplementation SchemeSensitivity MeasureImplementation Process

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Authors’ Affiliations

Laboratory of Computer Science (LIP6), University Pierre & Marie Curie, Paris, France
Institut de Recherche en Cybernétique et Communication de Nantes (UMR CNRS 6597), École des Mines de Nantes, Nantes Cedex, France


© T. Hilaire and P. Chevrel. 2011

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.