DocumentCode
1191937
Title
A counterexample to 2-D Lyapunov equations by Mertzios
Author
Lin, Tao ; Kawamata, Masayuki
Volume
32
Issue
12
fYear
1985
fDate
12/1/1985 12:00:00 AM
Firstpage
1310
Lastpage
1311
Abstract
In [1], Mertzios introduced two-dimensional (2-D) Lyapunov equations for the covariance and noise matrices to analyze the output roundoff noise under 
-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.
-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.Keywords
Digital filter wordlength effects; Lyapunov matrix equations; Multidimensional digital filters; Acoustic signal processing; Analysis of variance; Covariance matrix; Digital filters; Equations; Filter bank; Filtering; Gold; Speech processing; Two dimensional displays;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/TCS.1985.1085657
Filename
1085657
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