Explicit Expressions of Balanced Realizations of Second-Order Digital Filters With Real Poles

Explicit Expressions of Balanced Realizations of Second-Order Digital Filters With Real Poles

This letter presents explicit expressions of the balanced realization of second-order digital filters with real poles. We consider two cases of second-order digital filters: that of real and distinct poles and that of real and multiple poles. Simple formulas are derived for the synthesis of the bala...

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Veröffentlicht in:IEEE signal processing letters 2008, Vol.15, p.465-468
Hauptverfasser: Yamaki, S., Abe, M., Kawamata, M.
Format: Artikel
Sprache:eng
Schlagworte:
Balanced realizations
Controllability
Covariance matrix
Digital filters
Digital signal processing
explicit expressions
Limit-cycles
Observability
Signal processing algorithms
Signal synthesis
Stability
state-space digital filters
Transfer functions
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Zusammenfassung:This letter presents explicit expressions of the balanced realization of second-order digital filters with real poles. We consider two cases of second-order digital filters: that of real and distinct poles and that of real and multiple poles. Simple formulas are derived for the synthesis of the balanced realizations of these second-order digital filters.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2008.921479