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

Abstract : 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.
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Submitted on : Tuesday, April 28, 2015 - 2:49:19 PM
Last modification on : Friday, January 8, 2021 - 5:40:03 PM

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Thibault Hilaire, Philippe Chevrel. 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 Processing, SpringerOpen, 2011, special issue on Quantization of VLSI Digital Signal Processing Systems, pp.893760. ⟨10.1155/2011/893760⟩. ⟨hal-01146526⟩

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