1. A Unifying Framework for Finite Wordlength Realizations.
- Author
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Hilaire, Thibault, Chevrel, Philippe, and Whidborne, James F.
- Subjects
- *
DIGITAL filters (Mathematics) , *ALGEBRA , *TRANSFER functions , *SENSITIVITY theory (Mathematics) , *MATHEMATICS , *DIGITAL electronics - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2007
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