Abstract
The stability of two-dimensional (2-D) periodically shift varying (PSV) filters is considered. The considered system is represented in state space by the first model of Fornasini-Marchesini (FM) with periodic coefficients. The stability of this model is then studied. Two necessary conditions and two sufficient conditions are established for asymptotic stability. The conditions are easy to use and computationally simple.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 61-64 |
| Number of pages | 4 |
| Journal | IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing |
| Volume | 49 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2002 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Signal Processing
Cite this
Stability of 2-D periodically shift variant filters. / Thamvichai, Ratchaneekorn; Bose, Tamal.
In: IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, Vol. 49, No. 1, 01.2002, p. 61-64.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Stability of 2-D periodically shift variant filters
AU - Thamvichai, Ratchaneekorn
AU - Bose, Tamal
PY - 2002/1
Y1 - 2002/1
N2 - The stability of two-dimensional (2-D) periodically shift varying (PSV) filters is considered. The considered system is represented in state space by the first model of Fornasini-Marchesini (FM) with periodic coefficients. The stability of this model is then studied. Two necessary conditions and two sufficient conditions are established for asymptotic stability. The conditions are easy to use and computationally simple.
AB - The stability of two-dimensional (2-D) periodically shift varying (PSV) filters is considered. The considered system is represented in state space by the first model of Fornasini-Marchesini (FM) with periodic coefficients. The stability of this model is then studied. Two necessary conditions and two sufficient conditions are established for asymptotic stability. The conditions are easy to use and computationally simple.
UR - http://www.scopus.com/inward/record.url?scp=0036113145&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036113145&partnerID=8YFLogxK
U2 - 10.1109/82.996060
DO - 10.1109/82.996060
M3 - Article
AN - SCOPUS:0036113145
VL - 49
SP - 61
EP - 64
JO - IEEE Transactions on Circuits and Systems II: Express Briefs
JF - IEEE Transactions on Circuits and Systems II: Express Briefs
SN - 1549-7747
IS - 1
ER -