A Counterexample to 2-D Lyapunov Equations by Mertzios

Tao Lin, Masayuki Kawamata

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

In [1], Mertzios introduced two-dimensional (2-D) Lyapunov equations for the covariance and noise matrices to analyze the output roundoff noise under ‘l2-norm scaling in 2-D digital filters described by the local state-space model. However, his 2-D Lyapunov equations include some crucial errors. This paper presents a counterexample to his 2-D Lyapunov equations, and shows that his 2-D Lyapunov equations cannot give the covariance and noise matrices in 2-D state-space digital filters.

Original languageEnglish
Pages (from-to)1310-1311
Number of pages2
JournalIEEE transactions on circuits and systems
Volume32
Issue number12
DOIs
Publication statusPublished - 1985 Dec

ASJC Scopus subject areas

  • Engineering(all)

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