Comparative-study of Finite Word-length Effects in Shift and Delta-operator Parameterizations
Li, G.;Gevers, Michel
(1993) IEEE Transactions on Automatic Control — Vol. 38, n° 5, p. 803-807 (1993)
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Li, G.
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Gevers, MichelUCLouvain
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Abstract
This note analyzes the sensitivity of transfer functions w.r.t. finite wordlength effect errors in the implementation of the coefficients of both shift operator and delta operator parameterizations. The relationships between optimal realization sets in shift and delta operator are established. It is shown that the optimal realizations in delta operator have better performance than those in shift operator when the poles of the systems are clustered around z = + 1. A numerical example is given.
Li, G., & Gevers, M. (1993). Comparative-study of Finite Word-length Effects in Shift and Delta-operator Parameterizations. IEEE Transactions on Automatic Control, 38(5), 803-807. https://doi.org/10.1109/9.277251 (Original work published 1993)