Optimal FWL Design of State-Space Digital Systems with Weighted Sensitivity Minimization and Sparseness Consideration

Gang Li; Michel Gevers; Brian D.O. Anderson; Jane E. Perkins

doi:10.1109/81.139287

Optimal FWL Design of State-Space Digital Systems with Weighted Sensitivity Minimization and Sparseness Consideration

Gang Li, Michel Gevers, Brian D.O. Anderson, Jane E. Perkins

School of Engineering

Research output: Contribution to journal › Article › peer-review

79 Citations (Scopus)

Abstract

The optimal finite word length (FWL) state-space digital system design problem is investigated. Instead ot the usual sensitivity measure, it is argued that it may be desirable to minimize a frequency weighted sensitivity measure over all similarity transformations. The set of optimal realizations minimizing this weighted sensitivity is completely characterized, and an algorithm is proposed to find the optimal solution set. It is shown that a subset of the optimal realization set consists of sparse Schur realizations, whose actual sensitivity (taking into account the zero elements) is even smaller than the theoretical minimal sensitivity. Some nice properties of the Schur realizations are discussed. A numerical example that confirms the theoretical results is given.

Original language	English
Pages (from-to)	365-377
Number of pages	13
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	39
Issue number	5
DOIs	https://doi.org/10.1109/81.139287
Publication status	Published - May 1992

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Optimal FWL Design of State-Space Digital Systems with Weighted Sensitivity Minimization and Sparseness Consideration

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