Criteria for the absence of overflow oscillations in fixed-point digital filters using generalized overflow characteristics

2005 ◽  
pp. 60-76
Keyword(s):  
Fixed Point ◽  
Digital Filters ◽  
Overflow Oscillations

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.

Criterion for the H∞ Suppression of Overflow Oscillations in Fixed Point Digital Filters Employing Saturation Nonlinearities and External Interference

2021 ◽  
pp. 2250002
Author(s):  
Kalpana Singh ◽  
V. Krishna Rao Kandanvli ◽  
Haranath Kar
Keyword(s):  
Fixed Point ◽  
Exponential Stability ◽  
State Space ◽  
Digital Filters ◽  
Interference Effects ◽  
External Interference ◽  
Norm Constraint ◽  
Overflow Oscillations

This paper proposes a novel criterion for suppressing the [Formula: see text] overflow oscillations in fixed point state-space digital filters employing saturation nonlinearities and external interference. The proposed criterion can be used to ensure the exponential stability (ES) and diminish the external interference effects to an [Formula: see text] norm constraint. An example is given to exemplify the utility of the obtained results.

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