Passivity Based Stability Condition for Interefered Digital Filters

Xavier Arockiaraj, Priyanka Kokil, Haranath Kar


This paper presents a new passivity condition for fixed-point state-space interfered digital filters using saturation arithmetic. Passivity is a way to characterize input-output stability of a system, that is, supplied bounded input energy produces bounded output energy. The presented criterion also ensures asymptotic stability of the state-space digital filter with zero external disturbances. The result is expressed in terms of linear matrix inequality, and therefore, can be solved via existing numerical packages. A numerical example is arranged to validate the usefulness of the proposed method.


Interefered digital filter; Saturation arithmetic; Nonlinear effect; Nonlinear system; Passivity

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