A new criterion for the overflow stability of second-order state-space digital filters using saturation arithmetic

H. Kar; V. Singh

doi:10.1109/81.662720

A new criterion for the overflow stability of second-order state-space digital filters using saturation arithmetic

IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications ◽

10.1109/81.662720 ◽

1998 ◽

Vol 45 (3) ◽

pp. 311-313 ◽

Cited By ~ 51

Author(s):

H. Kar ◽

V. Singh

Keyword(s):

State Space ◽

Digital Filters ◽

Second Order ◽

Saturation Arithmetic ◽

New Criterion ◽

Order State

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New second-order state-space structures for realizing low roundoff noise digital filters

IEEE Transactions on Acoustics Speech and Signal Processing ◽

10.1109/tassp.1985.1164530 ◽

1985 ◽

Vol 33 (1) ◽

pp. 106-110 ◽

Cited By ~ 33

Author(s):

B. Bomar

Keyword(s):

State Space ◽

Digital Filters ◽

Second Order ◽

Space Structures ◽

Roundoff Noise ◽

Order State

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A Closed Form Solution to L>inf/inf<-Sensitivity Minimization of Second-Order State-Space Digital Filters

2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings ◽

10.1109/iscas.2006.1693810 ◽

2006 ◽

Cited By ~ 2

Author(s):

S. Yamaki ◽

M. Abe ◽

M. Kawamata

Keyword(s):

Closed Form ◽

State Space ◽

Digital Filters ◽

Closed Form Solution ◽

Form Solution ◽

Second Order ◽

Order State

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Closed Form Solutions to L2-Sensitivity Minimization of Second-Order State-Space Digital Filters with Real Poles

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e93.a.966 ◽

2010 ◽

Vol E93-A (5) ◽

pp. 966-971 ◽

Cited By ~ 5

Author(s):

Shunsuke YAMAKI ◽

Masahide ABE ◽

Masayuki KAWAMATA

Keyword(s):

Closed Form ◽

State Space ◽

Digital Filters ◽

Second Order ◽

Closed Form Solutions ◽

Real Poles ◽

Order State

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A Closed Form Solution to L2-Sensitivity Minimization of Second-Order State-Space Digital Filters Subject to L2-Scaling Constraints

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1093/ietfec/e91-a.7.1697 ◽

2008 ◽

Vol E91-A (7) ◽

pp. 1697-1705 ◽

Cited By ~ 8

Author(s):

S. YAMAKI ◽

M. ABE ◽

M. KAWAMATA

Keyword(s):

Closed Form ◽

State Space ◽

Digital Filters ◽

Closed Form Solution ◽

Form Solution ◽

Second Order ◽

Order State

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Comments on "Calculation of L norms for scaling second-order state-space digital filters sections" by B.W. Bomar and R.D. Joseph

IEEE Transactions on Circuits and Systems ◽

10.1109/31.20213 ◽

1989 ◽

Vol 36 (2) ◽

pp. 310-311 ◽

Cited By ~ 1

Author(s):

P.V. Ananda Mohan

Keyword(s):

State Space ◽

Digital Filters ◽

Second Order ◽

Order State

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Optimal synthesis of second-order state-space structures for digital filters

IEEE Transactions on Circuits and Systems ◽

10.1109/tcs.1979.1084623 ◽

1979 ◽

Vol 26 (3) ◽

pp. 149-153 ◽

Cited By ~ 139

Author(s):

L. Jackson ◽

A. Lindgren ◽

Young Kim

Keyword(s):

State Space ◽

Digital Filters ◽

Second Order ◽

Optimal Synthesis ◽

Space Structures ◽

Order State

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A Closed Form Solution to L2-Sensitivity Minimization of Second-Order State-Space Digital Filters

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1093/ietfec/e91-a.5.1268 ◽

2008 ◽

Vol E91-A (5) ◽

pp. 1268-1273 ◽

Cited By ~ 12

Author(s):

S. YAMAKI ◽

M. ABE ◽

M. KAWAMATA

Keyword(s):

Closed Form ◽

State Space ◽

Digital Filters ◽

Closed Form Solution ◽

Form Solution ◽

Second Order ◽

Order State

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Closed Form Solutions to L2-Sensitivity Minimization Subject to L2-Scaling Constraints for Second-Order State-Space Digital Filters with Real Poles

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e93.a.476 ◽

2010 ◽

Vol E93-A (2) ◽

pp. 476-487 ◽

Cited By ~ 6

Author(s):

Shunsuke YAMAKI ◽

Masahide ABE ◽

Masayuki KAWAMATA

Keyword(s):

Closed Form ◽

State Space ◽

Digital Filters ◽

Second Order ◽

Closed Form Solutions ◽

Real Poles ◽

Order State

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The necessary and sufficient conditions for minimum roundoff noise in second-order state-space digital filters and their optimal synthesis

IEEE Transactions on Circuits and Systems ◽

10.1109/tcs.1987.1086182 ◽

1987 ◽

Vol 34 (6) ◽

pp. 669-677 ◽

Cited By ~ 3

Author(s):

V. Tavsanoglu

Keyword(s):

State Space ◽

Digital Filters ◽

Sufficient Conditions ◽

Second Order ◽

Necessary And Sufficient Conditions ◽

Optimal Synthesis ◽

Roundoff Noise ◽

Necessary And Sufficient ◽

Order State

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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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