On a Pseudo-Formal Linearization Method via the Orthogonal Polynomial Approximation

Hitoshi Takata; Kazuo Komatsu

doi:10.2299/jsp.23.293

On a Pseudo-Formal Linearization Method via the Orthogonal Polynomial Approximation

Journal of Signal Processing ◽

10.2299/jsp.23.293 ◽

2019 ◽

Vol 23 (6) ◽

pp. 293-300

Author(s):

Hitoshi Takata ◽

Kazuo Komatsu

Keyword(s):

Orthogonal Polynomial ◽

Polynomial Approximation ◽

Linearization Method ◽

Formal Linearization

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The Lp minimality and near-minimality of orthogonal polynomial approximation and integration methods

Orthogonal Polynomials and their Applications - Lecture Notes in Mathematics ◽

10.1007/bfb0083368 ◽

1988 ◽

pp. 291-299 ◽

Cited By ~ 1

Author(s):

J. C. Mason

Keyword(s):

Orthogonal Polynomial ◽

Polynomial Approximation ◽

Integration Methods

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A Simple Method for Orthogonal Polynomial Approximation of Linear Time-Varying System Gramians

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2019.11.021 ◽

2019 ◽

Vol 52 (17) ◽

pp. 25-30

Author(s):

Kamen L. Perev

Keyword(s):

Orthogonal Polynomial ◽

Polynomial Approximation ◽

Linear Time ◽

Time Varying ◽

Simple Method

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A new suboptimal multiuser detector based on orthogonal polynomial approximation

IEEE 54th Vehicular Technology Conference. VTC Fall 2001. Proceedings (Cat. No.01CH37211) ◽

10.1109/vtc.2001.956895 ◽

2002 ◽

Author(s):

Jaeho Roh ◽

Sooyong Choi ◽

Kyunbyoung Ko ◽

Daesik Hong ◽

Changeon Kang

Keyword(s):

Orthogonal Polynomial ◽

Polynomial Approximation ◽

Multiuser Detector

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Orthogonal polynomial approximation method for stability prediction in milling

The International Journal of Advanced Manufacturing Technology ◽

10.1007/s00170-017-0067-x ◽

2017 ◽

Vol 91 (9-12) ◽

pp. 4313-4330 ◽

Cited By ~ 5

Author(s):

Zhenghu Yan ◽

Xibin Wang ◽

Zhibing Liu ◽

Dongqian Wang ◽

Yongjian Ji ◽

...

Keyword(s):

Orthogonal Polynomial ◽

Polynomial Approximation ◽

Approximation Method ◽

Stability Prediction

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A software package for the orthogonal polynomial approximation of analytical signals, including a simulation program for chromatograms and spectra

Analytica Chimica Acta ◽

10.1016/s0003-2670(00)84183-5 ◽

1985 ◽

Vol 171 ◽

pp. 45-60 ◽

Cited By ~ 18

Author(s):

P.J.H. Scheeren ◽

Z. Klous ◽

H.C. Smit ◽

D.A. Doornbos

Keyword(s):

Orthogonal Polynomial ◽

Polynomial Approximation ◽

Software Package ◽

Simulation Program

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Computer Algorithms for Pseudo-Formal Linearization Method Based on Discrete Fourier Series Expansion and Nonlinear Observer

Journal of Signal Processing ◽

10.2299/jsp.25.155 ◽

2021 ◽

Vol 25 (5) ◽

pp. 155-162

Author(s):

Kazuo Komatsu ◽

Hitoshi Takata

Keyword(s):

Fourier Series ◽

Series Expansion ◽

Linearization Method ◽

Nonlinear Observer ◽

Fourier Series Expansion ◽

Discrete Fourier Series ◽

Computer Algorithms ◽

Formal Linearization

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On a Pseudo-Formal Linearization Method Based on Fourier Series Expansion

Journal of Signal Processing ◽

10.2299/jsp.25.25 ◽

2021 ◽

Vol 25 (1) ◽

pp. 25-31

Author(s):

Kazuo Komatsu ◽

Hitoshi Takata

Keyword(s):

Fourier Series ◽

Series Expansion ◽

Linearization Method ◽

Fourier Series Expansion ◽

Formal Linearization

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Predictor-Model-Based Least-Squares Model-Reference Adaptive Control with Chebyshev Orthogonal Polynomial Approximation

10.2514/6.2013-5134 ◽

2013 ◽

Author(s):

Nhan T. Nguyen

Keyword(s):

Adaptive Control ◽

Orthogonal Polynomial ◽

Least Squares ◽

Polynomial Approximation ◽

Model Reference Adaptive Control ◽

Model Reference ◽

Model Based ◽

Predictor Model ◽

Chebyshev Orthogonal Polynomial ◽

Model Reference Adaptive

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On orthogonal polynomial approximation with the dimensional expanding technique for precise time integration in transient analysis

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2006.03.007 ◽

2007 ◽

Vol 12 (8) ◽

pp. 1584-1603 ◽

Cited By ~ 5

Author(s):

Yizhen Huang ◽

Yangjing Long

Keyword(s):

Orthogonal Polynomial ◽

Polynomial Approximation ◽

Transient Analysis ◽

Time Integration ◽

Precise Time Integration ◽

Precise Time

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Least-squares orthogonal polynomial approximation in several independent variables

Computers in Physics ◽

10.1063/1.168454 ◽

1993 ◽

Vol 7 (3) ◽

pp. 336 ◽

Cited By ~ 5

Author(s):

Robert S. Caprari

Keyword(s):

Orthogonal Polynomial ◽

Least Squares ◽

Polynomial Approximation ◽

Independent Variables

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