Open AccessCriterion for non‐existence of limit cycles in 2D state‐space digital filters described by the Fornasini–Marchesini second model with finite wordlength non‐linearities
Author(s) -
Agarwal Neha,
Kar Haranath
Publication year - 2016
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
eISSN - 1751-9683
pISSN - 1751-9675
DOI - 10.1049/iet-spr.2014.0099
Subject(s) - limit cycle , limit (mathematics) , mathematics , realisation , digital filter , state (computer science) , control theory (sociology) , stability (learning theory) , state space , state space representation , space (punctuation) , computer science , filter (signal processing) , algorithm , mathematical analysis , artificial intelligence , statistics , physics , control (management) , quantum mechanics , machine learning , computer vision , operating system
This study investigates the problem of global asymptotic stability of fixed‐point two‐dimensional (2D) digital filters described by the Fornasini–Marchesini second local state‐space model with the combined effects of quantisation and overflow non‐linearities. Utilising a more precise characterisation of the non‐linearities, an improved criterion for the limit cycle‐free realisation of 2D digital filters is brought out. The criterion is compared with several previously reported criteria.