Comments on "Stability and absence of overflow oscillations for 2-D discrete-time systems

Author

Bauer, Peter H. ; Ralev, Kamen R.

Author_Institution

Dept. of Electr. Eng., Notre Dame Univ., IN, USA

Volume

46

Issue

3

fYear

1998

fDate

3/1/1998 12:00:00 AM

Firstpage

803

Lastpage

804

Abstract

In their article Xiao and Hill (see ibid., vol.44, p.2108-10, 1996) show via an example that the conditions of the Theorem 3 in an earlier paper by Tzafestas et al. (1992) may not guarantee stability of 2-D linear systems. The authors incorrectly conclude that the BIBO unstable 2-D linear system may have a stable finite wordlength implementation using saturation arithmetic. The authors comment that this incorrect conclusion is due to an erroneous result in the earlier paper by Tzafestas et al.

Keywords

circuit stability; digital arithmetic; discrete time filters; filtering theory; linear systems; stability; state-space methods; two-dimensional digital filters; 2D digital filters; 2D discrete-time systems; BIBO unstable 2D linear system; overflow oscillations absence; saturation arithmetic; stability; stable finite wordlength implementation; Acoustic signal detection; Covariance matrix; Eigenvalues and eigenfunctions; Gaussian distribution; Linear systems; Signal processing; Speech processing; Stability; State-space methods; Testing;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.661352

Filename

661352