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

被引：8

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

共 50 条

[41] Stability of Interfered Digital Filters Subjected to Markovian Jumping Parameters and Time Delay Employing Quantization/Overflow Nonlinearities
Mani Kant Kumar
Circuits, Systems, and Signal Processing, 2022, 41 : 892 - 914
[42] Improved Delay-Dependent Stability Analysis of Fixed-Point State-Space Digital Filters With Time-Varying Delay and Generalized Overflow Arithmetic
Li, Fudong
Chen, Jian
Zhang, Lanhong
Wang, Qibing
Jiang, Lin
IEEE Access, 2022, 10 : 9406 - 9419
[43] Stability of fixed-point state-space digital filters using two's complement arithmetic Further insight
Shen, Tao
Yuan, Zhugang
AUTOMATICA, 2010, 46 (12) : 2109 - 2111
[44] Exponential Stability Analysis of Fixed Point Interfered Nonlinear Digital Systems in the Presence of Quantization and Overflow Constraints
Malik, Saddam Hussain
Tufail, Muhammad
Rehan, Muhammad
Ahmed, Shakeel
FLUCTUATION AND NOISE LETTERS, 2020, 19 (04):
[45] A new criterion for the global asymptotic stability of 2-D state-space digital filters with two's complement overflow arithmetic
Kar, Haranath
SIGNAL PROCESSING, 2012, 92 (09) : 2322 - 2326
[46] Modified form of Liu-Michel's criterion for global asymptotic stability of fixed-point state-space digital filters using saturation arithmetic
Singh, Vimal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (12): : 1423 - 1425
[47] On the Transfer Function Error of State-Space Filters in Fixed-Point Context
Hilaire, Thibault
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2009, 56 (12) : 936 - 940
[48] STABILITY AND OVERFLOW OSCILLATIONS IN 2-D STATE-SPACE DIGITAL-FILTERS
LODGE, JH
FAHMY, MM
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1981, 29 (06): : 1161 - 1171
[49] A Note on the Induced l∞ Stability of Fixed-Point Digital Filters Without Overflow Oscillations and Instability Due to Finite Wordlength Effects
Kokil, Priyanka
Shinde, Swapnil Sadashiv
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2017, 36 (03) : 1288 - 1300
[50] Induced l ∞ stability of fixed-point digital filters without overflow oscillations and instability due to finite word length effects
Ahn, Choon Ki
Lee, Young Sam
ADVANCES IN DIFFERENCE EQUATIONS, 2012,

← 1 2 3 4 5 →