Data-driven atomic decomposition via frequency extraction of intrinsic mode functions

DOI10.1007/s13137-015-0079-3zbMath1361.94023OpenAlexW2290469477MaRDI QIDQ284448

Hrushikesh N. Mhaskar, Charles K. Chui, Maria D. van der Walt

Publication date: 18 May 2016

Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13137-015-0079-3

zbMATH Keywords

atomic decompositionHilbert transformdata-driven atomic decompositiondictionaries for basis pursuitempirical mode decomposition (EMD)instantaneous frequenciesintrinsic mode functionslocal sifting processsignal separation operator (SSO)super-resolutionsuperEMDsynchrosqueezing transform (SST)

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (9)

Wavelet thresholding for recovery of active sub-signals of a composite signal from its discrete samples ⋮ Spline manipulations for empirical mode decomposition (EMD) on bounded intervals and beyond ⋮ Applied harmonic analysis and data science. Abstracts from the workshop held November 28 -- December 4, 2021 (hybrid meeting) ⋮ Signal separation based on adaptive continuous wavelet-like transform and analysis ⋮ Cautious active clustering ⋮ Time-scale-chirp\(_-\)rate operator for recovery of non-stationary signal components with crossover instantaneous frequency curves ⋮ Exact reconstruction of sparse non-harmonic signals from their Fourier coefficients ⋮ Intrinsic Fourier Mode Functions ⋮ Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies

Uses Software

• PDCO

Cites Work

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