Roundoff noise minimization using delta-operator realizations (digital filters)
- 1 January 1993
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 41 (2) , 629-637
- https://doi.org/10.1109/78.193204
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 realizationsKeywords
This publication has 17 references indexed in Scilit:
- Parametrizations in Control, Estimation and Filtering Problems: Accuracy AspectsPublished by Springer Nature ,1993
- Optimal FWL design of state-space digital systems with weighted sensitivity minimization and sparseness considerationIEEE Transactions on Circuits and Systems I: Regular Papers, 1992
- Design of multi-input multi-output systems with minimum sensitivityIEEE Transactions on Circuits and Systems, 1988
- Small roundoff noise realization of fixed-point digital filters and controllersIEEE Transactions on Acoustics, Speech, and Signal Processing, 1988
- An algorithm for constrained roundoff noise minimization in digital filters with application to two-dimensional filtersIEEE Transactions on Circuits and Systems, 1988
- Computation of system balancing transformationsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1986
- Roundoff noise minimization and pole-zero sensitivity in fixed-point digital filters using residue feedbackIEEE Transactions on Acoustics, Speech, and Signal Processing, 1986
- Residue feedback in digital filters using fractional feedback coefficientsIEEE Transactions on Acoustics, Speech, and Signal Processing, 1985
- Optimal design of state - space digital filters by simultaneous minimization of sensitivity and roundoff noiseIEEE Transactions on Circuits and Systems, 1984
- Principal component analysis in linear systems: Controllability, observability, and model reductionIEEE Transactions on Automatic Control, 1981