Stability analysis of 1-D and 2-D fixed-point state-space digital filters using any combination of overflow and quantization nonlinearities

H. Kar; V. Singh

doi:10.1109/78.917812

Stability analysis of 1-D and 2-D fixed-point state-space digital filters using any combination of overflow and quantization nonlinearities

IEEE Transactions on Signal Processing ◽

10.1109/78.917812 ◽

2001 ◽

Vol 49 (5) ◽

pp. 1097-1105 ◽

Cited By ~ 61

Author(s):

H. Kar ◽

V. Singh

Keyword(s):

Fixed Point ◽

Stability Analysis ◽

State Space ◽

Digital Filters

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Improved Delay-Dependent Stability Analysis of Fixed-Point State-Space Digital Filters with Time-Varying Delay and Generalized Overflow Arithmetic

IEEE Access ◽

10.1109/access.2022.3143309 ◽

2022 ◽

pp. 1-1

Author(s):

Fudong Li ◽

Jian Chen ◽

Lanhong Zhang ◽

Qibing Wang ◽

Lin Jiang

Keyword(s):

Fixed Point ◽

Stability Analysis ◽

State Space ◽

Digital Filters ◽

Time Varying ◽

Time Varying Delay ◽

Delay Dependent ◽

Delay Dependent Stability ◽

Varying Delay

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Stability analysis of fixed-point digital filters using a constructive algorithm

10.31274/rtd-180813-8568 ◽

1983 ◽

Author(s):

Kelvin Todd Erickson

Keyword(s):

Fixed Point ◽

Stability Analysis ◽

Digital Filters ◽

Constructive Algorithm

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An improved criterion for the global asymptotic stability of fixed-point state-space digital filters with saturation arithmetic

Digital Signal Processing ◽

10.1016/j.dsp.2012.07.001 ◽

2012 ◽

Vol 22 (6) ◽

pp. 1063-1067 ◽

Cited By ~ 15

Author(s):

Priyanka Kokil ◽

Haranath Kar

Keyword(s):

Fixed Point ◽

Asymptotic Stability ◽

State Space ◽

Global Asymptotic Stability ◽

Digital Filters ◽

Saturation Arithmetic

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A new frequency-domain criterion for elimination of limit cycles in fixed-point state-space digital filters using saturation arithmetic

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2006.03.075 ◽

2007 ◽

Vol 34 (3) ◽

pp. 813-816 ◽

Cited By ~ 6

Author(s):

Vimal Singh

Keyword(s):

Fixed Point ◽

State Space ◽

Frequency Domain ◽

Limit Cycles ◽

Digital Filters ◽

Saturation Arithmetic

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Stability analysis of 2-D state-space digital filters using Lyapunov function: a caution

IEEE Transactions on Signal Processing ◽

10.1109/78.640734 ◽

1997 ◽

Vol 45 (10) ◽

pp. 2620-2621 ◽

Cited By ~ 29

Author(s):

H. Kar ◽

V. Singh

Keyword(s):

Stability Analysis ◽

Lyapunov Function ◽

State Space ◽

Digital Filters

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An improved stability criterion for fixed-point state-space digital filters using two’s complement arithmetic

Automatica ◽

10.1016/j.automatica.2011.09.054 ◽

2012 ◽

Vol 48 (1) ◽

pp. 243-245 ◽

Cited By ~ 5

Author(s):

Tao Shen ◽

Zhugang Yuan ◽

Xiaohong Wang

Keyword(s):

Fixed Point ◽

State Space ◽

Stability Criterion ◽

Digital Filters ◽

Improved Stability

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Stability analysis of fixed- point digital filters using computer generated Lyapunov functions- Part I: Direct form and coupled form filters

IEEE Transactions on Circuits and Systems ◽

10.1109/tcs.1985.1085676 ◽

1985 ◽

Vol 32 (2) ◽

pp. 113-132 ◽

Cited By ~ 74

Author(s):

K. Erickson ◽

A. Michel

Keyword(s):

Fixed Point ◽

Stability Analysis ◽

Lyapunov Functions ◽

Digital Filters ◽

Direct Form

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Author’s reply to “Comments on ‘Modified criterion for global asymptotic stability of fixed-point state-space digital filters using two’s complement arithmetic [Automatica 46 (2010) 475–478]’”

Automatica ◽

10.1016/j.automatica.2010.08.015 ◽

2010 ◽

Vol 46 (11) ◽

pp. 1928 ◽

Cited By ~ 4

Author(s):

Vimal Singh

Keyword(s):

Fixed Point ◽

Asymptotic Stability ◽

State Space ◽

Global Asymptotic Stability ◽

Digital Filters

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Stability of fixed-point state-space digital filters using two’s complement arithmetic: Further insight

Automatica ◽

10.1016/j.automatica.2010.08.017 ◽

2010 ◽

Vol 46 (12) ◽

pp. 2109-2111 ◽

Cited By ~ 12

Author(s):

Tao Shen ◽

Zhugang Yuan

Keyword(s):

Fixed Point ◽

State Space ◽

Digital Filters

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A unified approach to the optimal synthesis of fixed-point state-space digital filters

IEEE Transactions on Acoustics Speech and Signal Processing ◽

10.1109/tassp.1985.1164638 ◽

1985 ◽

Vol 33 (4) ◽

pp. 911-920 ◽

Cited By ~ 70

Author(s):

M. Kawamata ◽

T. Higuchi

Keyword(s):

Fixed Point ◽

State Space ◽

Digital Filters ◽

Optimal Synthesis ◽

Unified Approach

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