Improved state-space criteron for global asymptotic stability of fixed-point state-space digital filters with saturation arithmetic

Abstract EN

A state-space criterion for the global asymptotic stability of fixed-point statespace digital filters using saturation overflow arithmetic is presented.

The criterion is derived by exploiting a novel structural property of the system under consideration and, hence, is quite distinct from the previous criteria.

In particular, a comparison of the present criterion with an earlier criterion due to Kar and Singh is made.

The comparison reveals that the present criterion is less restrictive than Kar-Singh’s criterion.

Two examples showing the effectiveness of the present approach are given.

AMS Subject Classification: 93C10, 93C55, 93C62, 93D20