Statistical properties of the wavelet decomposition of certain non-Gaussian self-similar processes

DOI10.1016/S0165-1684(98)00240-0zbMath0923.94015OpenAlexW1984384167MaRDI QIDQ1292367

Béatrice Pesquet-Popescu

Publication date: 21 June 1999

Published in: Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-1684(98)00240-0

zbMATH Keywords

Non-stationary signalshigher-order statisticsWavelet analysis\(\alpha\)-stable processesLong-range dependenceSelf-similarityLower-order statistics

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (5)

Wavelet Fisher's information measure of \(1/f^\alpha\) signals ⋮ Wavelet \(q\)-Fisher information for scaling signal analysis ⋮ 2D wavelet-based spectra with applications ⋮ Bounds for the covariance of functions of infinite variance stable random variables with applications to central limit theorems and wavelet-based estimation ⋮ Second order structure of scale-space measurements

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