A Unified Study on the Roundoff Noise in 2-D State Space Digital Filters

Tao Lin, Masayuki Kawamata, Tatsuo Higuchi

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)

Abstract

This paper studies the roundoff noise and the scaling in 2-D state space digital filters. The noise matrix and the covariance matrix in the 2-D case are derived. They are expressed with double infinite sums or double integral. A formulation is presented to synthesize minimum roundoff noise 2-D state space digital filters. A practical synthesis procedure is also provided. A numerical example is given to show the analysis method and synthesis method presented here.

Original languageEnglish
Pages (from-to)724-730
Number of pages7
JournalIEEE transactions on circuits and systems
Volume33
Issue number7
DOIs
Publication statusPublished - 1986 Jul

ASJC Scopus subject areas

  • Engineering(all)

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