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Admissibility of unstable second‐order digital filters with two's complement arithmetic
Author(s) -
Ling Bingo WingKuen,
Ho Charlotte YukFan,
Tam Peter KwongShun
Publication year - 2004
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.268
Subject(s) - complement (music) , mathematics , arithmetic , digital filter , representation (politics) , set (abstract data type) , order (exchange) , truncation (statistics) , filter (signal processing) , algorithm , matrix (chemical analysis) , algebra over a field , discrete mathematics , computer science , pure mathematics , statistics , law , chemistry , biochemistry , political science , computer vision , programming language , finance , complementation , politics , economics , gene , phenotype , materials science , composite material
In this paper, we have extended the existing results on the admissible set of periodic symbolic sequences of a second‐order digital filter with marginally stable system matrix to the unstable case. Based on this result, the initial conditions can be computed using the symbolic sequences. The truncation error of the representation of an initial condition due to the use of a finite number of symbols is studied. Copyright © 2004 John Wiley & Sons, Ltd.