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Volumn 92, Issue 9, 2012, Pages 2322-2326

A new criterion for the global asymptotic stability of 2-D state-space digital filters with twos complement overflow arithmetic

Author keywords

2 D discrete system; Asymptotic stability; Finite wordlength effect; Lyapunov method; Nonlinear system

Indexed keywords

2-D DISCRETE SYSTEMS; FINITE WORD LENGTH EFFECTS; GLOBAL ASYMPTOTIC STABILITY; LYAPUNOV; ROESSER MODELS; STATE-SPACE;

EID: 84859532048     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2012.02.001     Document Type: Article
Times cited : (11)

References (28)
  • 2
    • 0016473439 scopus 로고
    • A discrete state-space model for linear image processing
    • R.P. Roesser A discrete state-space model for linear image processing IEEE Transactions on Automatic Control 20 1975 1 10
    • (1975) IEEE Transactions on Automatic Control , vol.20 , pp. 1-10
    • Roesser, R.P.1
  • 7
    • 84941499658 scopus 로고
    • The discrete-time strictly bounded-real lemma and the computation of positive definite solutions to the 2-D Lyapunov equation
    • P. Agathoklis, E.I. Jury, and M. Mansour The discrete-time strictly bounded-real lemma and the computation of positive definite solutions to the 2-D Lyapunov equation IEEE Transactions on Circuits and Systems 36 1989 830 837
    • (1989) IEEE Transactions on Circuits and Systems , vol.36 , pp. 830-837
    • Agathoklis, P.1    Jury, E.I.2    Mansour, M.3
  • 9
    • 0026925028 scopus 로고
    • Two-dimensional digital filters without overflow oscillations and instability due to finite word length
    • S.G. Tzafestas, A. Kanellakis, and N.J. Theodorous Two-dimensional digital filters without overflow oscillations and instability due to finite word length IEEE Transactions on Signal Processing 40 1992 2311 2317
    • (1992) IEEE Transactions on Signal Processing , vol.40 , pp. 2311-2317
    • Tzafestas, S.G.1    Kanellakis, A.2    Theodorous, N.J.3
  • 10
    • 0030212430 scopus 로고    scopus 로고
    • Stability and absence of overflow oscillations for 2-D discrete-time systems
    • C. Xiao, and D.J. Hill Stability and absence of overflow oscillations for 2-D discrete-time systems IEEE Transactions on Signal Processing 44 1996 2108 2110
    • (1996) IEEE Transactions on Signal Processing , vol.44 , pp. 2108-2110
    • Xiao, C.1    Hill, D.J.2
  • 11
    • 0032028973 scopus 로고    scopus 로고
    • Comments on 'stability and absence of overflow oscillations for 2-D discrete-time systems
    • P.H. Bauer, and K.R. Ralev Comments on 'stability and absence of overflow oscillations for 2-D discrete-time systems' IEEE Transactions on Signal Processing 46 1998 803 804
    • (1998) IEEE Transactions on Signal Processing , vol.46 , pp. 803-804
    • Bauer, P.H.1    Ralev, K.R.2
  • 12
    • 0031257148 scopus 로고    scopus 로고
    • Stability analysis of 2-D state-space digital filters using Lyapunov function: A caution
    • H. Kar, and V. Singh Stability analysis of 2-D state-space digital filters using Lyapunov function:a caution IEEE Transactions on Signal Processing 45 1997 2620 2621
    • (1997) IEEE Transactions on Signal Processing , vol.45 , pp. 2620-2621
    • Kar, H.1    Singh, V.2
  • 13
    • 0028428824 scopus 로고
    • Asymptotic stability of two-dimensional digital filters under quantization
    • T. Bose Asymptotic stability of two-dimensional digital filters under quantization IEEE Transactions on Signal Processing 42 1994 1172 1177
    • (1994) IEEE Transactions on Signal Processing , vol.42 , pp. 1172-1177
    • Bose, T.1
  • 14
    • 0028381817 scopus 로고
    • Stability analysis of state-space realizations for two-dimensional filters with overflow nonlinearities
    • D. Liu, and A.N. Michel Stability analysis of state-space realizations for two-dimensional filters with overflow nonlinearities IEEE Transactions on Circuits and Systems I 41 1994 127 137
    • (1994) IEEE Transactions on Circuits and Systems i , vol.41 , pp. 127-137
    • Liu, D.1    Michel, A.N.2
  • 15
    • 0033748840 scopus 로고    scopus 로고
    • Stability analysis of 2-D state-space digital filters with overflow nonlinearities
    • H. Kar, and V. Singh Stability analysis of 2-D state-space digital filters with overflow nonlinearities IEEE Transactions on Circuits and Systems I 47 2000 598 601
    • (2000) IEEE Transactions on Circuits and Systems i , vol.47 , pp. 598-601
    • Kar, H.1    Singh, V.2
  • 16
    • 0035340069 scopus 로고    scopus 로고
    • Stability analysis of 1-D and 2-D fixed-point state-space digital filters using any combination of overflow and quantization nonlinearities
    • H. Kar, and V. Singh Stability analysis of 1-D and 2-D fixed-point state-space digital filters using any combination of overflow and quantization nonlinearities IEEE Transactions on Signal Processing 49 2001 1097 1105
    • (2001) IEEE Transactions on Signal Processing , vol.49 , pp. 1097-1105
    • Kar, H.1    Singh, V.2
  • 17
    • 14644397240 scopus 로고    scopus 로고
    • Elimination of overflow oscillations in 2-D digital filters employing saturation arithmetic: An LMI approach
    • V. Singh Elimination of overflow oscillations in 2-D digital filters employing saturation arithmetic: an LMI approach IEEE Signal Processing Letters 12 2005 246 249
    • (2005) IEEE Signal Processing Letters , vol.12 , pp. 246-249
    • Singh, V.1
  • 18
    • 34548556987 scopus 로고    scopus 로고
    • New LMI condition for the nonexistence of overflow oscillations in 2-D state-space digital filters using saturation arithmetic
    • V. Singh New LMI condition for the nonexistence of overflow oscillations in 2-D state-space digital filters using saturation arithmetic Digital Signal Processing 17 2007 345 352
    • (2007) Digital Signal Processing , vol.17 , pp. 345-352
    • Singh, V.1
  • 19
    • 40049101564 scopus 로고    scopus 로고
    • Comments on 'new LMI condition for the nonexistence of overflow oscillations in 2-D state-space digital filters using saturation arithmetic
    • H. Kar Comments on 'new LMI condition for the nonexistence of overflow oscillations in 2-D state-space digital filters using saturation arithmetic' Digital Signal Processing 18 2008 148 150
    • (2008) Digital Signal Processing , vol.18 , pp. 148-150
    • Kar, H.1
  • 20
    • 20544458357 scopus 로고    scopus 로고
    • Stability analysis of 2-D digital filters with saturation arithmetic: An LMI approach
    • H. Kar, and V. Singh Stability analysis of 2-D digital filters with saturation arithmetic: an LMI approach IEEE Transactions on Signal Processing 53 2005 2267 2271
    • (2005) IEEE Transactions on Signal Processing , vol.53 , pp. 2267-2271
    • Kar, H.1    Singh, V.2
  • 21
    • 34548563904 scopus 로고    scopus 로고
    • A new sufficient condition for the global asymptotic stability of 2-D state-space digital filters with saturation arithmetic
    • H. Kar A new sufficient condition for the global asymptotic stability of 2-D state-space digital filters with saturation arithmetic Signal Processing 88 2008 86 98
    • (2008) Signal Processing , vol.88 , pp. 86-98
    • Kar, H.1
  • 22
    • 38949192184 scopus 로고    scopus 로고
    • Global asymptotic stability of 2-D state-space digital filters with saturation arithmetic: Modified approach
    • V. Singh Global asymptotic stability of 2-D state-space digital filters with saturation arithmetic: Modified approach Signal Processing 88 2008 1304 1309
    • (2008) Signal Processing , vol.88 , pp. 1304-1309
    • Singh, V.1
  • 23
    • 77955429427 scopus 로고    scopus 로고
    • A novel criterion for the global asymptotic stability of 2-D discrete systems described by Roesser model using saturation arithmetic
    • H. Kar A novel criterion for the global asymptotic stability of 2-D discrete systems described by Roesser model using saturation arithmetic Digital Signal Processing 20 2010 1505 1510
    • (2010) Digital Signal Processing , vol.20 , pp. 1505-1510
    • Kar, H.1
  • 24
    • 0024096981 scopus 로고
    • Finite wordlength effects in digital filters: A review
    • Eindhoven University of Technology, Eindhoven, The Netherlands
    • H.J. Butterweck, J.H.F. Ritzerfeld, M.J. Werter, Finite wordlength effects in digital filters: a review, EUT Report 88-E-205, Eindhoven University of Technology, Eindhoven, The Netherlands, 1988.
    • (1988) EUT Report 88-E-205
    • Butterweck, H.J.1    Ritzerfeld, J.H.F.2    Werter, M.J.3
  • 25
    • 74149091464 scopus 로고    scopus 로고
    • Modified criterion for global asymptotic stability of fixed-point state-space digital filters using twos complement arithmetic
    • V. Singh Modified criterion for global asymptotic stability of fixed-point state-space digital filters using twos complement arithmetic Automatica 46 2010 475 478
    • (2010) Automatica , vol.46 , pp. 475-478
    • Singh, V.1
  • 26
    • 78249238796 scopus 로고    scopus 로고
    • Stability of fixed-point state-space digital filters using twos complement arithmetic: Further insight
    • T. Shen, and Z. Yuan Stability of fixed-point state-space digital filters using twos complement arithmetic: further insight Automatica 46 2010 2109 2111
    • (2010) Automatica , vol.46 , pp. 2109-2111
    • Shen, T.1    Yuan, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.