Recursive evaluation of Walsh coefficients for multiple integrals of Walsh series

DOI10.1016/0005-1098(84)90032-3zbMath0539.93020OpenAlexW2028418385MaRDI QIDQ794581

Erik V. Bohn

Publication date: 1984

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(84)90032-3

zbMATH Keywords

truncationerror propagationoperational matrixWalsh series

Mathematics Subject Classification ID

System identification (93B30) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Sampled-data control/observation systems (93C57) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Model systems in control theory (93C99) Classical operational calculus (44A45)

Cites Work

• Estimation of continuous-time linear system parameters from periodic data
• Identification of time-lag systems via Walsh functions
• Discrete Fourier transform computation via the Walsh transform
• Comments on "Discrete Fourier transform via Walsh transform"
• Design of piecewise constant gains for optimal control via Walsh functions
• Time-varying reactivity reconstruction via Walsh functions
• Bilinear system identification by Walsh functions
• Shift Walsh matrix and delay-differential equations
• Improved algorithms for parameter identification in continuous systems via Walsh functions
• Recursive expressions for evaluating Walsh coefficients for linear dynamic systems†

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