A Unifying Framework for Finite Wordlength Realizations

A general framework for the analysis of the finite wordlength (FWL) effects of linear time-invariant digital filter implementations is proposed. By means of a special implicit system description, all realization forms can be described. An algebraic characterization of the equivalent classes is provi...

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Published in:IEEE transactions on circuits and systems. I, Regular papers Vol. 54; no. 8; pp. 1765 - 1774
Main Authors: Hilaire, T.., Chevrel, P.., Whidborne, J.F.
Format: Journal Article
Language:English
Published: New York IEEE 01-08-2007
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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Abstract A general framework for the analysis of the finite wordlength (FWL) effects of linear time-invariant digital filter implementations is proposed. By means of a special implicit system description, all realization forms can be described. An algebraic characterization of the equivalent classes is provided, which enables a search for realizations that minimize the FWL effects to be made. Two suitable FWL coefficient sensitivity measures are proposed for use within the framework, these being a transfer function sensitivity measure and a pole sensitivity measure. An illustrative example is presented.
AbstractList A general framework for the analysis of the finite wordlength (FWL) effects of linear time-invariant digital filter implementations is proposed. By means of a special implicit system description, all realization forms can be described. An algebraic characterization of the equivalent classes is provided, which enables a search for realizations that minimize the FWL effects to be made. Two suitable FWL coefficient sensitivity measures are proposed for use within the framework, these being a transfer function sensitivity measure and a pole sensitivity measure. An illustrative example is presented.
Author Whidborne, J.F.
Hilaire, T..
Chevrel, P..
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Snippet A general framework for the analysis of the finite wordlength (FWL) effects of linear time-invariant digital filter implementations is proposed. By means of a...
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SubjectTerms Algebra
Arithmetic
Cause effect analysis
Circuits
Coefficient sensitivity
Control systems
Degradation
digital filter implementation
digital filter wordlength effects
Digital filters
Eigenvalues and eigenfunctions
Equivalence
finite wordlength (FWL) effects
implicit systems
Mathematical analysis
optimal realization
Performance analysis
Poles
Poles and zeros
Searching
Stability analysis
Transfer functions
Title A Unifying Framework for Finite Wordlength Realizations
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