Citation:
Thibault Hilaire, Philippe Chevrel, and James F. Whidborne; A Unifying Framework for Finite Wordlength Realizations. IEEE Transactions on Circuits and Systems I: Regular Papers, 54(8) August 2007, 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.
