Abstract
This paper proposes a novel linear matrix inequality (LMI)-based stability criterion to avoid overflow oscillations in 2-D digital filters described by a Roesser state-space model with saturation-type overflow characteristics. In contrast to the conventional approaches, the proposed overflow oscillation elimination methodology can be applied to linear parameter varying time-variant digital filters under overflow subject to both state and output disturbances. For such filters, the proposed criterion ensures the zero-input overflow stability as well as robustness against interferences with a guaranteed H∞ performance bound. A numerical example is presented to demonstrate the effectiveness of the proposed approach.
| Original language | English |
|---|---|
| Pages (from-to) | 247-252 |
| Number of pages | 6 |
| Journal | Signal Processing |
| Volume | 127 |
| DOIs | |
| Publication status | Published - Oct 1 2016 |
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Keywords
- Linear matrix inequality
- Linear parameter varying
- Overflow oscillation elimination
- Saturation arithmetic
- Time-varying digital filters
ASJC Scopus subject areas
- Control and Systems Engineering
- Software
- Signal Processing
- Computer Vision and Pattern Recognition
- Electrical and Electronic Engineering
Cite this
On elimination of overflow oscillations in linear time-varying 2-D digital filters represented by a Roesser model. / Rehan, Muhammad; Tufail, Muhammad; Akhtar, Muhammad Tahir.
In: Signal Processing, Vol. 127, 01.10.2016, p. 247-252.Research output: Contribution to journal › Article
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TY - JOUR
T1 - On elimination of overflow oscillations in linear time-varying 2-D digital filters represented by a Roesser model
AU - Rehan, Muhammad
AU - Tufail, Muhammad
AU - Akhtar, Muhammad Tahir
PY - 2016/10/1
Y1 - 2016/10/1
N2 - This paper proposes a novel linear matrix inequality (LMI)-based stability criterion to avoid overflow oscillations in 2-D digital filters described by a Roesser state-space model with saturation-type overflow characteristics. In contrast to the conventional approaches, the proposed overflow oscillation elimination methodology can be applied to linear parameter varying time-variant digital filters under overflow subject to both state and output disturbances. For such filters, the proposed criterion ensures the zero-input overflow stability as well as robustness against interferences with a guaranteed H∞ performance bound. A numerical example is presented to demonstrate the effectiveness of the proposed approach.
AB - This paper proposes a novel linear matrix inequality (LMI)-based stability criterion to avoid overflow oscillations in 2-D digital filters described by a Roesser state-space model with saturation-type overflow characteristics. In contrast to the conventional approaches, the proposed overflow oscillation elimination methodology can be applied to linear parameter varying time-variant digital filters under overflow subject to both state and output disturbances. For such filters, the proposed criterion ensures the zero-input overflow stability as well as robustness against interferences with a guaranteed H∞ performance bound. A numerical example is presented to demonstrate the effectiveness of the proposed approach.
KW - Linear matrix inequality
KW - Linear parameter varying
KW - Overflow oscillation elimination
KW - Saturation arithmetic
KW - Time-varying digital filters
UR - http://www.scopus.com/inward/record.url?scp=84961878131&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84961878131&partnerID=8YFLogxK
U2 - 10.1016/j.sigpro.2016.03.004
DO - 10.1016/j.sigpro.2016.03.004
M3 - Article
AN - SCOPUS:84961878131
VL - 127
SP - 247
EP - 252
JO - Signal Processing
JF - Signal Processing
SN - 0165-1684
ER -