TY - JOUR
T1 - Stability of the 2-D Givone-Roesser model with periodic coefficients
AU - Bose, Tamal
AU - Chen, Mei Qin
AU - Thamvichai, Ratchaneekorn
N1 - Funding Information:
Manuscript received March 9, 2005; revised July 20, 2006. The work of T. Bose work was supported by NASA under Grant NAG5-10716 and the State of Utah Centers of Excellence program. The work of M.-Q. Chen was supported in part by a Citadel Foundation Sabbatical Grant and by the Department of Electrical and Computer Engineering, Utah State University. This paper was recommended by C. Hadjicostis.
PY - 2007/3
Y1 - 2007/3
N2 - The stability of two-dimensional (2-D) periodically shift varying (PSV) filters formulated as the Givone-Roesser (GR) model is studied. The applications of these filters include processing video signals with cyclostationary noise, image and video scrambling, and design of multiplierless filters. The GR model is embedded into the second model of Fornasini-Marchesisni and the stability of this embedded model is then studied. Several sufficient conditions and one necessary condition are derived for stability. These conditions are compared for their relative computational complexities and their restrictions. Based on the computational complexities of implementing these conditions, an algorithm is proposed to determine the stability of a given 2-D PSV system. Several examples are given to illustrate the results.
AB - The stability of two-dimensional (2-D) periodically shift varying (PSV) filters formulated as the Givone-Roesser (GR) model is studied. The applications of these filters include processing video signals with cyclostationary noise, image and video scrambling, and design of multiplierless filters. The GR model is embedded into the second model of Fornasini-Marchesisni and the stability of this embedded model is then studied. Several sufficient conditions and one necessary condition are derived for stability. These conditions are compared for their relative computational complexities and their restrictions. Based on the computational complexities of implementing these conditions, an algorithm is proposed to determine the stability of a given 2-D PSV system. Several examples are given to illustrate the results.
KW - 2-D Givone-Roesser model
KW - 2-D periodically shift varying filters
KW - Stability
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U2 - 10.1109/TCSI.2006.888666
DO - 10.1109/TCSI.2006.888666
M3 - Article
AN - SCOPUS:34047095824
SN - 1057-7122
VL - 54
SP - 566
EP - 578
JO - IEEE Transactions on Circuits and Systems I: Regular Papers
JF - IEEE Transactions on Circuits and Systems I: Regular Papers
IS - 3
ER -