Sparse time-frequency representation of nonlinear and nonstationary data
DOI10.1007/s11425-013-4733-7zbMath1304.65282OpenAlexW1978206812MaRDI QIDQ476519
Zuoqiang Shi, Thomas Yizhao Hou
Publication date: 2 December 2014
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-013-4733-7
waveletsconvergencenumerical experimentsdata analysistime-frequency analysissparse representationcompressed sensingdata-drivennonlinear optimization problemempirical mode decomposition methodnonlinear matching pursuit
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60) Numerical methods for trigonometric approximation and interpolation (65T40)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool
- CoSaMP: Iterative signal recovery from incomplete and inaccurate samples
- Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit
- Signal representation using adaptive normalized Gaussian functions
- Data-driven time-frequency analysis
- Optimization with Sparsity-Inducing Penalties
- The Hilbert spectrum via wavelet projections
- ADAPTIVE DATA ANALYSIS VIA SPARSE TIME-FREQUENCY REPRESENTATION
- The Split Bregman Method for L1-Regularized Problems
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Decoding by Linear Programming
- Sparse representations in unions of bases
- Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
- Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit
- From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
- Ten Lectures on Wavelets
- The relationship between instantaneous frequency and time-frequency representations
- Atomic Decomposition by Basis Pursuit
- The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
- Matching pursuits with time-frequency dictionaries
- Stable signal recovery from incomplete and inaccurate measurements
- Mathematical Analysis of Random Noise
- Compressed sensing
This page was built for publication: Sparse time-frequency representation of nonlinear and nonstationary data