Search results
1 – 2 of 2Diksha -, Priyanka Kokil and Haranath Kar
– The purpose of this paper is to develop a new criterion for the exponential stability and
Abstract
Purpose
The purpose of this paper is to develop a new criterion for the exponential stability and
H
∞ performance of state-space digital filters under the influence of any combination of quantization/overflow nonlinearities.
Design/methodology/approach
The proposed criterion uses the
H
∞ approach that is suitable for the design of discrete system in the presence of external disturbance. Analysis and synthesis in an
H
∞ setting is advantageous as it proposes effective disturbance attenuation, less sensitivity to uncertainties and many practical applications.
Findings
The criterion not only guarantees exponential stability but also reduces the effect of external interference. A numerical example demonstrating the effectiveness of the proposed method is given.
Originality/value
The main result of the paper is reported for the first time and it is useful to ensure the stability of digital filters in the presence of external disturbance and any combination of quantization/overflow nonlinearities.
Details
Keywords
Priyanka Kokil and Swapnil Sadashiv Shinde
– The purpose of this paper is to present a criterion for global asymptotic stability of state-space direct-form digital filters employing saturation arithmetic.
Abstract
Purpose
The purpose of this paper is to present a criterion for global asymptotic stability of state-space direct-form digital filters employing saturation arithmetic.
Design/methodology/approach
An elegant use of induced l ∞ approach (also known as a peak-to-peak approach) is made to develop a criterion for the overflow stability of state-space direct-form digital filters.
Findings
The criterion not only guarantees asymptotic stability but also reduces the effect of external interference. The presented method yields better interference attenuation level as compared to a recently reported method. Numerical examples are given to illustrate the effectiveness of the proposed method.
Practical implications
Digital filters are important dynamical systems in signal processing which are used for the processing of discrete signals. During the implementation of higher-order digital filter in hardware or software, introduction of external interference is unavoidable. Therefore, stability analysis of digital filters in the presence of external interference is of much practical importance.
Originality/value
The main result of the paper is reported for the first time and it is useful to establish the asymptotic stability of digital filters in the presence of external disturbances.
Details