New results for the realization of interfered direct-form digital filters with single two's complement nonlinearity. Issue 9 (25th May 2021)

• Record Type: Journal Article
• Authors: Kumar, Mani Kant; Jha, Nishant
• Is Part Of: Engineering computations. Volume 38:Issue 9(2021)
• Page Start: 3470
• Page End: 3491
• Publication Date: 2021-05-25
• Subjects: Asymptotic stability -- Digital filter -- Input/output-to-state stability (IOSS) -- Linear matrix inequality (LMI) -- Lyapunov function -- Two's complement arithmetic; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-03-2020-0142
• Languages: English
• ISSNs: 0264-4401

Abstract

Abstract : Purpose: This paper deals with the problem of input/output-to-state stability (IOSS) of direct-form digital filters, which simultaneously contain external disturbances and two's complement nonlinearity. The nonlinearity under consideration is confined to the sector [–1, 1], which contains saturation, zeroing, two's complement and triangular. Design/methodology/approach: The proposed condition is based on IOSS approach, which is capable of providing a framework for checking and analysing the stability of nonlinear system based on input as well as output information. Findings: A linear matrix inequality (LMI)-based new sufficient criterion for the IOSS of the suggested system is obtained. The obtained criterion is capable of detecting the output-to-state stability (OSS) and asymptotic stability of direct-form digital filters with zero external disturbances. In addition, state-norm estimator for the filter under consideration is constructed by adopting an exponential-decay IOSS criterion. Several examples are provided to illustrate the usefulness of the proposed criteria. Originality/value: The result of the paper is introduced for the first time, and it is suitable for stability analysis of interfered direct-form digital filter with two's complement overflow using IOSS approach.