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
Link To Document :
