New Criterion for l2-l∞ Stability of Interfered Fixed-Point State-Space Digital Filters with Quantization/Overflow Nonlinearities

被引：9

作者：

Rani, Pooja ^{[1
]}

Kokil, Priyanka ^{[2
]}

Kar, Haranath ^{[1
]}

机构：

[1] Motilal Nehru Natl Inst Technol Allahabad, Dept Elect & Commun Engn, Allahabad 211004, Uttar Pradesh, India

[2] Indian Inst Informat Technol Design & Mfg, Dept Elect Engn, Chennai 600127, Tamil Nadu, India

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2019年 / 38卷 / 01期

关键词：

Asymptotic stability; Digital filter; Finite wordlength effect; Lyapunov stability theory; l(2)-l(infinity) approach; DISCRETE-TIME-SYSTEMS; OVERFLOW OSCILLATIONS; LIMIT-CYCLES; ASYMPTOTIC STABILITY; DIRECT-FORM; DISSIPATIVITY ANALYSIS; ELIMINATION; MODEL; COMBINATIONS; SUPPRESSION;

D O I：

10.1007/s00034-018-0866-9

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The problem of l(2)-l stability and disturbance attenuation performance analysis of fixed-point state-space digital filters with external disturbance and finite wordlength nonlinearities is studied in this paper. The finite wordlength nonlinearities are composite nonlinearities representing concatenations of quantization and overflow correction employed in practice. Using sector-based characterization of the finite wordlength nonlinearities, a new l(2)-l stability criterion for the reduction of the effects of external disturbance to a given level and to confirm the nonexistence of limit cycles in the absence of external interference is established. Numerical examples are given to illustrate the efficacy of the proposed criterion.

引用

页码：407 / 424

页数：18

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[1] An improved criterion for the global asymptotic stability of fixed-point state-space digital filters with combinations of quantization and overflow [J].