Simple methods for the shift-transformation matrix, direct-product matrix and summation matrix of discrete Walsh series

DOI10.1080/00207178608933542zbMath0582.93011OpenAlexW2006506147MaRDI QIDQ3707828

Ing-Rong Horng, Jyh-Horng Chou

Publication date: 1986

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178608933542

zbMATH Keywords

summation matrixdirect-product matrixdiscrete Walsh seriesshift-transformation matrix

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Transformations (93B17) Discrete operational calculus (44A55)

Related Items (4)

Walsh function analysis of linear and bilinear discrete time systems ⋮ Discrete orthogonal polynomials reduced models based on shift-transformation and discrete Walsh functions ⋮ Digital PID controller design via general discrete orthogonal polynomials ⋮ Model reduction on 2-D systems via orthogonal series

Cites Work

• Discrete Walsh operational matrices for analysis and optimal control of linear digital systems

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