Elimination of overflow oscillations in fixed-point state-space digital filters using saturation arithmetic: An LMI approach

2006 ◽  
Vol 16 (1) ◽  
pp. 45-51 ◽  
Author(s):  
Vimal Singh
Keyword(s):  
Fixed Point ◽  
State Space ◽  
Digital Filters ◽  
Lmi Approach ◽  
Saturation Arithmetic ◽  
Overflow Oscillations

An Improved Criterion for Induced Stability of Fixed-Point Digital Filters with Saturation Arithmetic

2016 ◽  
Vol 4 (1) ◽  
pp. 65 ◽  
Author(s):  
Priyanka Kokil ◽  
Xavier Arockiaraj S
Keyword(s):  
Fixed Point ◽  
Linear Matrix Inequality ◽  
State Space ◽  
Digital Filters ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
External Interference ◽  
Numerical Examples ◽  
Criterion A ◽  
Saturation Arithmetic

<p>This paper establishes a criterion for the induced  stability of fixed-point state-space digital filters with saturation nonlinearities and external interference. The criterion is established in a linear matrix inequality (LMI) setting, and therefore, computationally tractable. The criterion turns out to be an improvement over a previously reported criterion. A comparison of the presented criterion with existing criterion is made. Numerical examples are given to demonstrate the usefulness of the proposed approach.</p>

Overflow oscillation-free realization of digital filters with saturation

2018 ◽  
Vol 37 (6) ◽  
pp. 2050-2066 ◽  
Author(s):  
Neha Agarwal ◽  
Haranath Kar
Keyword(s):  
Fixed Point ◽  
State Space ◽  
Upper Bound ◽  
State Vector ◽  
Stability Region ◽  
Digital Filters ◽  
Unique Feature ◽  
Content Type ◽  
Overflow Oscillations ◽  
Practical Implications

Purpose The purpose of this paper is to establish a criterion for the global asymptotic stability of fixed-point state–space digital filters using saturation overflow arithmetic. Design/methodology/approach The method of stability analysis used in this paper is the second method of Lyapunov. The approach in this paper makes use of a precise upper bound of the state vector of the system and a novel passivity property associated with the saturation nonlinearities. Findings The presented criterion leads to an enhanced stability region in the parameter-space as compared to several existing criteria. Practical implications When dealing with the design of fixed-point state–space digital filters, it is desirable to have a criterion for selecting the filter coefficients so that the designed filter becomes free of overflow oscillations. The criterion presented in this paper provides enhanced saturation overflow stability region and therefore facilitates the designer greater flexibility in selecting filter parameters for overflow oscillation-free realization of digital filters. Originality/value The approach uses the structural properties of the saturation nonlinearities in a greater detail. The exploitation of upper bound of the system state vector together with a new passivity property of saturation nonlinearities is a unique feature of the present approach. The presented approach may lead to results not covered by several existing approaches.

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