Roundoff Noise Minimization Using Delta-operator Realizations
(1993) IEEE Transactions on Signal Processing — Vol. 41, n° 2, p. 629-637 (1993)
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- Abstract
- We examine the possible advantages of using delta operator state space realizations rather than shift operator realizations of transfer functions in terms of minimizing the roundoff noise gain of the realization. We first give several conditions under which the optimal roundoff noise gain for delta operator realizations is smaller than the optimal gain for shift operator realizations. We then illustrate that even sparse (and hence nonoptimal) delta operator realizations can have smaller roundoff noise gain than the optimal shift operator realizations.
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Li, G., & Gevers, M. (1993). Roundoff Noise Minimization Using Delta-operator Realizations. IEEE Transactions on Signal Processing, 41(2), 629-637. https://doi.org/10.1109/78.193204 (Original work published 1993)