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

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 gener...

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Bibliographic Details
Published in:EURASIP journal on advances in signal processing 2011-01, Vol.2011 (1), Article 893760
Main Authors: Hilaire, Thibault, Chevrel, Philippe
Format: Article
Language:English
Subjects:
Computer Science
Coordinate transformations
Digital signal processors
Engineering
Optimization algorithms
Quantization of VLSI Digital Signal Processing Systems
Quantum Information Technology
Random variables
Research Article
Signal,Image and Speech Processing
Spintronics
Studies
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Summary: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.
ISSN:1687-6180
1687-6172
1687-6180
DOI:10.1155/2011/893760