A unifying framework for finite wordlength realizations
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2007-08
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1558-0830
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Hilaire T, Chevrel P, Whidborne JF. (2007) A unifying framework for finite wordlength realizations. IEEE Transactions on Circuits and Systems I: Regular Papers, Volume 54, Issue 8, August 2007, pp. 1765-1774
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.
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Copyright © 2007 IEEE. Reprinted from IEEE Transactions on Circuits and Systems I: Regular Papers, 54(8) August 2007, 1765-1774.
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