An improved version of modified Liu--Michel's criterion for global asymptotic stability of fixed-point state-space digital filters using saturation arithmetic
作者： Haranath Kar
DOI: 10.1016/J.DSP.2009.10.020
关键词: Digital filter 、 Mathematics 、 Saturation arithmetic 、 Mathematical analysis 、 Circle criterion 、 State space digital filters 、 Exponential stability 、 Fixed point 、 Nonlinear system
摘要: A greatly relaxed version of modified Liu-Michel's criterion (due to Singh) for the global asymptotic stability fixed-point state-space digital filters with saturation arithmetic is presented.
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sci-hub.se 参考文章(11)
Haranath Kar, An LMI based criterion for the nonexistence of overflow oscillations in fixed-point state-space digital filters using saturation arithmetic Digital Signal Processing. ,vol. 17, pp. 685- 689 ,(2007) , 10.1016/J.DSP.2006.11.003
T. Bose, M.-Q. Chen, Overflow oscillations in state-space digital filters IEEE Transactions on Circuits and Systems. ,vol. 38, pp. 807- 810 ,(1991) , 10.1109/31.135754
Vimal Singh, A new frequency-domain criterion for elimination of limit cycles in fixed-point state-space digital filters using saturation arithmetic Chaos, Solitons & Fractals. ,vol. 34, pp. 813- 816 ,(2007) , 10.1016/J.CHAOS.2006.03.075
T. Ooba, Stability of linear discrete dynamics employing state saturation arithmetic IEEE Transactions on Automatic Control. ,vol. 48, pp. 626- 630 ,(2003) , 10.1109/TAC.2003.809792
Vimal Singh, Modified Form of Liu-Michel's Criterion for Global Asymptotic Stability of Fixed-Point State-Space Digital Filters Using Saturation Arithmetic IEEE Transactions on Circuits and Systems Ii-express Briefs. ,vol. 53, pp. 1423- 1425 ,(2006) , 10.1109/TCSII.2006.885395
V. Singh, A new realizability condition for limit cycle-free state-space digital filters employing saturation arithmetic IEEE Transactions on Circuits and Systems. ,vol. 32, pp. 1070- 1071 ,(1985) , 10.1109/TCS.1985.1085612
V. Singh, Elimination of overflow oscillations in fixed-point state-space digital filters using saturation arithmetic IEEE Transactions on Circuits and Systems. ,vol. 37, pp. 814- 818 ,(1990) , 10.1109/31.55040
J.H.F. Ritzerfeld, A condition for the overflow stability of second-order digital filters that is satisfied by all scaled state-space structures using saturation IEEE Transactions on Circuits and Systems. ,vol. 36, pp. 1049- 1057 ,(1989) , 10.1109/31.192413
D. Liu, A.N. Michel, Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 39, pp. 798- 807 ,(1992) , 10.1109/81.199861
H. Kar, V. Singh, A new criterion for the overflow stability of second-order state-space digital filters using saturation arithmetic IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 45, pp. 311- 313 ,(1998) , 10.1109/81.662720