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

APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems ◽

10.1109/apccas.2006.342361 ◽

2006 ◽

Author(s):

Shunsuke Yamaki ◽

Masahide Abe ◽

Masayuki Kawamata

Keyword(s):

Closed Form ◽

Digital Filters ◽

Closed Form Solution ◽

Form Solution ◽

Second Order

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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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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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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 Solution and Equivalent Equation Approximation of Linear Advection by a Non Dissipative Second Order Scheme for Step Initial Conditions

Acta Applicandae Mathematicae ◽

10.1007/s10440-013-9844-1 ◽

2013 ◽

Vol 130 (1) ◽

pp. 151-162

Author(s):

G. Arbia ◽

D. Bouche

Keyword(s):

Closed Form ◽

Initial Conditions ◽

Closed Form Solution ◽

Form Solution ◽

Second Order ◽

Equivalent Equation ◽

Order Scheme

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Blind identification of MIMO channels: a closed form solution based on second order statistics

Conference Record of the Thirty-Third Asilomar Conference on Signals, Systems, and Computers (Cat. No.CH37020) ◽

10.1109/acssc.1999.832298 ◽

2003 ◽

Cited By ~ 5

Author(s):

V. Barroso ◽

J. Xavier

Keyword(s):

Closed Form ◽

Order Statistics ◽

Closed Form Solution ◽

Form Solution ◽

Second Order ◽

Blind Identification ◽

Mimo Channels ◽

Second Order Statistics

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A Closed Form Solution for Whitenning Based Second Order Blind Identification

2017 Seminar on Detection Systems Architectures and Technologies (DAT) ◽

10.1109/dat.2017.7889173 ◽

2017 ◽

Author(s):

A. Meziane Bentahar Meziane ◽

T. Chonavel ◽

A. Aissa-El-Bey ◽

A. Belouchrani

Keyword(s):

Closed Form ◽

Closed Form Solution ◽

Form Solution ◽

Second Order ◽

Blind Identification

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Closed-form solution for nonlinear spatial deflections of strip flexures of large aspect ratio considering second order load-stiffening

Mechanism and Machine Theory ◽

10.1016/j.mechmachtheory.2021.104324 ◽

2021 ◽

Vol 161 ◽

pp. 104324

Author(s):

Ruiyu Bai ◽

Guimin Chen ◽

Shorya Awtar

Keyword(s):

Aspect Ratio ◽

Closed Form ◽

Closed Form Solution ◽

Form Solution ◽

Second Order ◽

Large Aspect Ratio

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Closed-form solution exploration study for general second-order vehicle control system modeling

2011 Second International Conference on Mechanic Automation and Control Engineering ◽

10.1109/mace.2011.5986872 ◽

2011 ◽

Author(s):

Yue Li

Keyword(s):

Control System ◽

Closed Form ◽

System Modeling ◽

Closed Form Solution ◽

Vehicle Control ◽

Form Solution ◽

Second Order

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On the maximal entropy property for ARMA processes and ARMA approximation

Advances in Applied Probability ◽

10.1017/s000186780001990x ◽

1990 ◽

Vol 22 (03) ◽

pp. 612-626

Author(s):

Dawei Huang

Keyword(s):

Closed Form ◽

Digital Filters ◽

Spectral Estimation ◽

Padé Approximation ◽

Closed Form Solution ◽

Form Solution ◽

Maximal Entropy ◽

Pade Approximation ◽

Arma Process ◽

Arma Processes

The existence and properties of a general ARMA (p, q) process, whose autocovariances, up to lag p, and impulse coefficients, up to lag q, coincide with some given values, are shown. A closed-form solution is obtained. Based on this, the maximal entropy property for ARMA process and the relation and difference between ARMA maximal entropy approximation and extended Padé approximation are discussed. This method may be used for the design of digital filters and for ARMA spectral estimation.

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On the maximal entropy property for ARMA processes and ARMA approximation

Advances in Applied Probability ◽

10.2307/1427460 ◽

1990 ◽

Vol 22 (3) ◽

pp. 612-626 ◽

Cited By ~ 1

Author(s):

Dawei Huang

Keyword(s):

Closed Form ◽

Digital Filters ◽

Spectral Estimation ◽

Padé Approximation ◽

Closed Form Solution ◽

Form Solution ◽

Maximal Entropy ◽

Pade Approximation ◽

Arma Process ◽

Arma Processes

The existence and properties of a general ARMA (p, q) process, whose autocovariances, up to lag p, and impulse coefficients, up to lag q, coincide with some given values, are shown. A closed-form solution is obtained. Based on this, the maximal entropy property for ARMA process and the relation and difference between ARMA maximal entropy approximation and extended Padé approximation are discussed. This method may be used for the design of digital filters and for ARMA spectral estimation.

Download Full-text