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 language | English |
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Pages (from-to) | 1310-1311 |
Number of pages | 2 |
Journal | IEEE transactions on circuits and systems |
Volume | 32 |
Issue number | 12 |
DOIs | |
Publication status | Published - 1985 Dec |
Externally published | Yes |
ASJC Scopus subject areas
- Engineering(all)