An improved version of modified Liu-Michel's criterion for global asymptotic stability of fixed-point state-space digital filters using saturation arithmetic

A greatly relaxed version of modified Liu-Michel's criterion (due to Singh) for the global asymptotic stability of fixed-point state-space digital filters with saturation arithmetic is presented.

[1]  Haranath Kar.  An LMI based criterion for the nonexistence of overflow oscillations in fixed-point state-space digital filters using saturation arithmetic , 2007, Digit. Signal Process..

[2]  Tatsushi Ooba,et al.  Stability of linear discrete dynamics employing state saturation arithmetic , 2003, IEEE Trans. Autom. Control..

[3]  Vimal Singh,et al.  Elimination of overflow oscillations in fixed-point state-space digital filters with saturation arithmetic: an LMI approach , 2004, IEEE Trans. Circuits Syst. II Express Briefs.

[4]  Vimal Singh.  Elimination of overflow oscillations in fixed-point state-space digital filters using saturation arithmetic , 1990 .

[5]  Vimal Singh.  A new realizability condition for limit cycle-free state-space digital filters employing saturation arithmetic , 1985 .

[6]  Vimal Singh,et al.  A new criterion for the overflow stability of second-order state-space digital filters using saturation arithmetic , 1998 .

[7]  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 , 1989 .

[8]  T. Bose,et al.  Overflow oscillations in state-space digital filters , 1991 .

[9]  Vimal Singh.  Modified Form of Liu-Michel's Criterion for Global Asymptotic Stability of Fixed-Point State-Space Digital Filters Using Saturation Arithmetic , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[10]  Vimal Singh,et al.  A new frequency-domain criterion for elimination of limit cycles in fixed-point state-space digital filters using saturation arithmetic , 2007 .

[11]  A. Michel,et al.  Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters , 1992 .