A simple sufficient criterion for the stability of multidimensional digital filters

1982 ◽  
Vol 70 (3) ◽  
pp. 301-303 ◽  
Author(s):  
H.C. Reddy ◽  
P.K. Rajan ◽  
M.N.S. Swamy
Keyword(s):  
Digital Filters ◽  
Sufficient Criterion ◽  
Multidimensional Digital Filters ◽  
The Stability

New results for the realization of interfered direct-form digital filters with single two's complement nonlinearity

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Mani Kant Kumar ◽  
Nishant Jha
Keyword(s):  
Design Methodology ◽  
Digital Filters ◽  
Linear Matrix ◽  
Sufficient Criterion ◽  
External Disturbances ◽  
Content Type ◽  
Direct Form ◽  
The Stability ◽  
Output Information ◽  
First Time

PurposeThis 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/approachThe 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.FindingsA 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/valueThe 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.

GA-BASED DESIGN OF 2D STATE-SPACE DIGITAL FILTERS WITH LINEAR PHASE CHARACTERISTICS

2007 ◽  
Vol 16 (02) ◽  
pp. 287-303 ◽  
Author(s):  
SANG-CHURL NAM ◽  
MASAHIDE ABE ◽  
MASAYUKI KAWAMATA
Keyword(s):  
State Space ◽  
Design Problem ◽  
Digital Filters ◽  
Design Method ◽  
Design Procedure ◽  
Gray Code ◽  
Superior Performance ◽  
Magnitude Response ◽  
The Stability ◽  
Group Delays

This paper proposes a GA-based design method for two-dimensional (2D) state-space digital filters which satisfy simultaneously the magnitude response and constant group delays. The design problem of 2D state-space digital filters is formulated subject to the constraint that the resultant filters are stable. To apply the genetic algorithm to the design problem, all coefficients of 2D state-space digital filters are encoded into the Gray code representation demonstrating the superior performance to the standard binary one. In addition, a stability test routine is embedded in the design procedure in order to ensure the stability for the resultant filters. A numerical example is given to demonstrate the effectiveness of the proposed method.

Equilibrium and Stability of a Three-Dimensional Toroidal MHD Configuration Near its Magnetic Axis

1976 ◽  
Vol 31 (11) ◽  
pp. 1277-1288 ◽  
Author(s):  
D. Lortz ◽  
J. Nührenberg
Keyword(s):  
Three Dimensional ◽  
Magnetic Axis ◽  
Stability Criteria ◽  
Sufficient Criterion ◽  
Third Order ◽  
Stagnation Points ◽  
The Third ◽  
Longitudinal Current ◽  
The Stability

Abstract The expansion of a three-dimensional toroidal magnetohydrostatic equilibrium around its magnetic axis is reconsidered. Equilibrium and stability plasma-β estimates are obtained in connection with a discussion of stagnation points occurring in the third-order flux surfaces. The stability criteria entering the β-estimates are: (i) a necessary criterion for localized disturbances, (ii) a new sufficient criterion for configurations without longitudinal current. Hamada coordinates are used to evaluate these criteria.

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