A new stability criterion for fixed-point state–space digital filters using two’s complement arithmetic

Tao Shen; Zhugang Yuan; Xiaohong Wang

doi:10.1016/j.automatica.2011.04.008

A new stability criterion for fixed-point state–space digital filters using two’s complement arithmetic

Automatica ◽

10.1016/j.automatica.2011.04.008 ◽

2011 ◽

Vol 47 (7) ◽

pp. 1538-1541 ◽

Cited By ~ 10

Author(s):

Tao Shen ◽

Zhugang Yuan ◽

Xiaohong Wang

Keyword(s):

Fixed Point ◽

State Space ◽

Stability Criterion ◽

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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New Stability Criterion for Fixed-Point State-Space Digital Filters With Generalized Overflow Arithmetic

IEEE Transactions on Circuits & Systems II Express Briefs ◽

10.1109/tcsii.2012.2198983 ◽

2012 ◽

Vol 59 (7) ◽

pp. 443-447 ◽

Cited By ~ 13

Author(s):

Tao Li ◽

Wei Xing Zheng

Keyword(s):

Fixed Point ◽

State Space ◽

Stability Criterion ◽

Digital Filters

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l2 − l∞stability criterion for fixed-point state-space digital filters with saturation nonlinearity

International Journal of Electronics ◽

10.1080/00207217.2012.743083 ◽

2013 ◽

Vol 100 (9) ◽

pp. 1309-1316 ◽

Cited By ~ 21

Author(s):

Choon Ki Ahn

Keyword(s):

Fixed Point ◽

State Space ◽

Stability Criterion ◽

Digital Filters ◽

Saturation Nonlinearity

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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 criterion for a class of fixed-point digital filters using two’s complement arithmetic

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.10.064 ◽

2013 ◽

Vol 219 (9) ◽

pp. 4880-4883 ◽

Cited By ~ 2

Author(s):

Tao Shen ◽

Zhugang Yuan

Keyword(s):

Fixed Point ◽

Stability Criterion ◽

Digital Filters

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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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Elimination of overflow oscillations in fixed-point state-space digital filters using saturation arithmetic: An LMI approach

Digital Signal Processing ◽

10.1016/j.dsp.2005.04.003 ◽

2006 ◽

Vol 16 (1) ◽

pp. 45-51 ◽

Cited By ~ 15

Author(s):

Vimal Singh

Keyword(s):

Fixed Point ◽

State Space ◽

Digital Filters ◽

Lmi Approach ◽

Saturation Arithmetic ◽

Overflow Oscillations

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