Adaptive Fourier decomposition and rational approximation — Part II: Software system design and development

DOI10.1142/S0219691314610098zbMath1303.65113OpenAlexW2157542319MaRDI QIDQ2930113

Weixiong Mai, Tao Qian, Hong, Wei, Li-Ming Zhang

Publication date: 18 November 2014

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691314610098

zbMATH Keywords

time-frequency distributioncore AFDcyclic AFDunwending AFD

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Numerical algorithms for specific classes of architectures (65Y10)

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Cites Work

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• Frequency-domain identification: An algorithm based on an adaptive rational orthogonal system
• A fast adaptive model reduction method based on Takenaka-Malmquist systems
• Adaptive decomposition by weighted inner functions: a generalization of Fourier series
• Identification and rational \(L^ 2\) approximation: A gradient algorithm
• Comparison of adaptive mono-component decompositions
• Boundary derivatives of the phases of inner and outer functions and applications
• Analytic Phase Derivatives, All-Pass Filters and Signals of Minimum Phase
• Algorithm of Adaptive Fourier Decomposition
• Optimal approximation by Blaschke forms

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