Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Sensitivity-Based Pole and Input-Output Errors of Linear Filters as Indicators of the Implementation Deterioration in Fixed-Point Context Thibault Hilaire1 and Philippe Chevrel2 | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2011 Article ID 893760 15 pages doi 2011 893760 Research Article Sensitivity-Based Pole and Input-Output Errors of Linear Filters as Indicators of the Implementation Deterioration in Fixed-Point Context Thibault Hilaire1 and Philippe Chevrel2 laboratory of Computer Science LIP6 University Pierre Marie Curie 75005 Paris France 2Institut de Recherche en Cybernetique et Communication de Nantes UMR CNRS 6597 Ecole des Mines de Nantes 44321 Nantes Cedex France Correspondence should be addressed to Thibault Hilaire Received 30 June 2010 Accepted 19 November 2010 Academic Editor Juan A. Lopez Copyright 2011 T. Hilaire and P. Chevrel. 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. 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. 1. Introduction The majority of control or signal processing systems is implemented in digital general purpose processors DSPs Digital Signal Processors FPGAs Field Programmable Gate-Array and so .
