Inversion formula for diadic wavelet representation of second-order processes

DOI10.1007/BF03167338zbMath1306.60030OpenAlexW2095085670MaRDI QIDQ2258376

Shu-Ji Kawasaki

Publication date: 3 March 2015

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167338

zbMATH Keywords

uncertaintyinversion formulawavelet representationKarhunen process

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General second-order stochastic processes (60G12) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

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• Ten Lectures on Wavelets
• Wavelet decomposition of harmonizable random processes
• Wavelet approximation of deterministic and random signals: convergence properties and rates
• Weak-stationarity conditions for wavelet processes

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